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This is the best text I have been able to search for the course I am teaching at the first year graduate level in Continuum Mechanics. the authors explain the material in perfect detail without a lot of obscure notation and an over emphasis on tensor ysis. I would have given them 5 stars if there weren't still a few typos in a few of the equations. that always scares me because I do not wish to derive the equations every time I use them.

This book is amazing for and introductory course. The examples convey the ideas, the tensor ysis is developed throughout the text but it is not excessive (the amazing lord knows Tensors can be one or two courses on their own). The issues at the end of the chapter are ALL workable, and each of them makes you use some of the ysis developed. That tells me that the author has been around teaching many, a lot of years, and is really interested in the students gathering a solid understanding of continuum mechanics. This book would be useful for folks that have switched fields (a EE/ME/Aero turned acoustician, or turned Material Scientist), who went through the standard curriculum (continuum mechanics has been historically taught by its own department -say at U of I, you can obtain a PhD in the field) or in the Aerospace. Once thought a "dead" field - sensors, and intelligent materials force the folks to either review or learn (like me).

started with no knowledge of continuum mechanics and this book laid out a solid and reliable presentation of the material with very attractive use of tensors. this book has worked for me as a stand-alone source of learning the topic without any prof or use of Utube. I have gone through half of it and noticed just one minor ere are amazing number of examples in the book. I would strongly recommend it to any beginner . I [email protected]#$%! had come with a separate practice book to accompany it.

This is a amazing text to use as a fast reference for most things continuum mechanics- Mase does a very respectable job at summarizing this attractive subject. I think this would be a amazing supplement to a CM course, although the notation strays from what is famous today. The power of this book is that almost everything appears in both indicial notation and Gibbs (boldface) notation. This makes it simple to follow along even if you aren't yet comfortable with the indicial notation. The worked issues are all very brief- they demonstrate in perhaps the simplest manner possible the basics of mechanics. Like every other CM book out there, this one has a few things that are done exceptionally well, and a few things that fall short. I will continue my find for the best CM book in print...Across 200 some pages, the subjects contain math prelims; stress; deformation; kinematics; balance laws; linear elasticity; linear fluids; classical plasticity; classical viscoelasticity. The figures are clear and illustrate the points being made. I don't know if I got a poor printing, but the superposed dots used to indicate time derivatives didn't appear in my copy.

There are a lot of books on the topic. However I like how topic is presented and explained. The books has nice discussion on material constitutive theories. If you wish a rigorous mathematical book on continuum mechanics, then this is not the best choice. But if you are at beginner or intermediate level, then this book may be valuable to you.

Like most other Schaum's series, the theory sections are condensed, which makes the part more like a compendium of continuum mechanics. The theoretical sections are thus amazing for a fast review of the material but not a amazing resource for "learning" the material. The largest advantage of the book is that it provides an inexpensive summary of continuum e downside of the book is that the solved issues are not related to the type of issues one confronts in a typical continuum course. In most cases several issues (statement together with the solution) are presented in a single page, which shows that each issue has been solved in 1-5 lines. I personally don't like most of the issues presented here; however, the issues could be useful for warming up.A better book is "Introduction to the Mechanics of a Continuous Medium" by Malvern, which is the best I've seen in explaining the intricacies of the theory. Another amazing complement is Holzapfel's "Nonlinear Solid Mechanics: A Continuum Approach for Engineering", which includes both the theory AND some solved sample problems.

Well, I was undecided about pure or applied mathematics.I was more thinking of applied mathematics.I took a course that uses this o weeks after the class began, I dropped the course, and I knew I am a pure mathematics guy!(so the stars are for letting me know about what field I like, not the material presented in the book).I am not saying anyone who starts reading this book is going to switch to pure mathematics.. it should not be the case, however, I think it has the essence of applied mathematics, so if u really like applied mathematics, ur going to very much appreciate this book.

I wanted to search a book that could teach me how to use math to model issues better. This book covers a lot of various ways to create mathematical models. This book isn't going to overwhelm you with math, it shows you the pitfalls with various ways of modelling things. I recommend this book to anyone who wants to learn how to apply math to true globe problems.

Continuum mechanics (CM) is a attractive and infinitely useful branch of mathematics, but the learning curve is relatively steep. Once you scale the cliff, you are able to do simply awesome things and gain a deeper appreciation for the deformation of materials. However, most textbooks do not create for decent guides- you need a competent professor to present you the ropes (which I fortunately had). CM is just one of those topics where you need a lot of practice and study to obtain amazing at perspective and experience might create me slightly biased, so hold that in mind. Spencer's book is not like most. While not perfect, he does a remarkable job of explaining all of the basics of what you need to know to do CM, and then teases with things more complicated (the rabbit hole goes very deep- I promise). Rather than obstinately sticking to either Gibbs notation (boldface vectors and tensors) or indicial notation, he moves between both, and sometimes presents equations in both forms. The figures are as easy as they need to be to obtain the point across (and no simpler). The necessary high points are in the book- vector/tensor ysis, kinematics, balance laws, and constitutive equations. The most fleshed out examples come from Spencer's own research, finite elasticity, which is a amazing demonstration of all of the necessary e length and price certainly are right. Until something better comes along, I would recommend this as a amazing introductory book, probably supplemented with the Schaum's Outline. The book by Chadwick, also cheap and thin, isn't a amazing starter book- it's outstanding for fast reference once you know how to talk the talk.

For what it is worth, I am using this as a course textbook. I appreciate the inexpensiveness of this book and given the choice between buying this or another text, I would choose this text. However, there are times when as a student I search myself looking for more explanation and search myself consulting more in depth texts from our library. In short, would I buy it again given the price? Yes. Is it more than an intro? No.

The author in this book is really concise, but it is also very clear. It is not an excelent reference to specific problems you can have while dealing with continuum problems, but it certainly gives you a amazing idea of the concepts. The issues are insufficient, but, again, the strenght of the book is that summarizes the whole continuum theory in a hundred pages.I bought it becuase I was taking a class that used continuum theory at some points and I had no background. Since it is a little book, I read some parts of it in a blink and ended up with the main ly: it is cheap, it is really a amazing investment, you're going to obtain more of it than what you spend.

This is the excellent introduction to continuum mechanics. I've looked at a lot of other options and kept coming back to this book as it is written in a very methodical manner and doesn't test to hide info or skip r example, this book is superior to Chadwick's, which tries to be concise and instead ends up burying the reader in formalism rather than concrete at said, some parts of the book have some holes in their derivations but that's no barrier as you can readily derive the steps in between on your own with what is provided. The exercises are not optional in this book, you need to carry them out to understand the material and in some cases, in order to get a effect you will use to apply the a leisurely rate, it should take you about a month to obtain through everything but the latest two chapters of the book, the latest two which need a month on their own. Be prepared to take down notes summarising each of the physical quantities and tensor rules as you learn them, it will support so you don't have to hold going back and forth in the book.

I purchased Continuum Mechanics by Spencer as a reference material for the first year gradate class on continuum mechanics. I got this book a month ahead just to obtain ready for the class. I think the book is unbelievable particularly in regard to the intellectual depth of the author on the topic and his proficiency on the mathematics involved. But the very strength of the book may also be a large drawback for particular audiences. The development of the concepts and the mathematics behind it virtually lacks consideration for beginners. Although I could follow significant portion of the mathematics and language presented, I could not form a coherent understanding of the broader concept. Fortunately, as I now actually obtain lectures in class, things begin falling onto the huge picture. Once I'm done with the class, I think this book will serve me better. But as of now, I'm going to stick with Schaum's Outline, which I purchased also from Amazon just after getting this book, as a reference and source of issue sets. If you are an undergrad or first year grad student getting ready for your first continuum mechanics class, obtain Schaum's Outline instead. You might also wish to consider purchasing Schaum's Outline on Linear Algebra for review.

This is probably one of the most concise, easy-to-follow introductions to continuum mechanics out there, especially if you have a working knowledge of linear algebra. It is a relatively modern treatment that uses nice matrix notation for the deformation gradient and strain that you will immediately recognize if you have read some of the famous SIGGRAPH papers on deformable model simulation. There is even a brief chapter on nonlinear constitutive laws. I had this book sitting on my desk in my lab at one point, and a random visiting scholar from France came up and said that the book is amazing. So it is also a nice method to create friends.

If you are going to be doing any significant work with continuum mechanics, I would recommend picking up this book. I will not say that it is extremely simple to follow, but if you are taking courses where continuum mechanics come into play, your math skills should be developed st books/courses/projects that deal with continuum mechanics don't seem to take the time to really explain it. I can attest that it is possible to obtain by without a full understanding, but it is a lot of times easier once you have these concepts down solidly. That is what this book did for me.

The book is shipped from Korea. It is new. I checked it with the ver sold in US. The printing is not so amazing as some part of the figure is missing and the lines and characters are a small bit blur and coarse. What is weird is that the it is printed in US just as my classmates' books. One Korean classmate suggest the reason to be that they sold the poor printed books to Korea...... Who knows.

I'm a Ph.D. student who has not learned Continuum Mechanics before but is taking a Computational Solid Mechanics class which prerequisite is Continuum Mechanics... Therefore, I bought this book to study Continuum Mechanics by myself. This book is very well written, and even I can follow most of the derivations. I didn't even know about tensor before reading this book, but I learned tensor in Chapter 1 much enough to read this book. Thanks to this book, I can follow the lectures in the class!

I taught a graduate course on continuum mechanics with the 3rd edition. The 3rd edition still has typos, making it hard for instructor and student alike. Few physical interpretations for the equations create it difficult to keep student's attention to the subject. For example, an unnumbered equation at the top of p. 12 is not identified as Lagrange's formula, a fact that could be used to illustrate the subject and to motivate the students. Sometimes the notation is confusing, switching among those used by different classic authors. Then, necessary formulas, while correct, are not cast using common letters as indices, like i and j, but using randomly selected letters. Even if the formula is correct, it makes it difficult for the student to remember it. For example, students will remember easily if we write: A vector u transforms as u_i'=a_ij u_j and reciprocally u_i=a_ji u_j' than what you'll search written in the book, although correctly, but difficult to remember. The book demands a lot of effort from the instructor. For self study, the book is dry. I like the organization of the book and the app chapters 6 to 9.

Like previous editions, this book is famously accessible to beginners. Most of the horrendously unprofessional typesetting errors in previous editions are corrected in this edition, which has been converted to LaTeX. The price of this "cleanup" is that fresh typos will have emerged. This edition continues to have a excellent level of detail for beginners to learn primary kinematics and balance laws. Like previous editions, however, the sections on constitutive modeling are tough for most students. Recommendation: wait for the next edition to see if the typos are fixed and if the constitutive modeling sections improve. If so, my review for that future edition will be five stars.

**Mathematical Foundations of Quantum Mechanics: New Edition (Princeton Landmarks in Mathematics and Physics)**[] 2020-7-4 18:47

Here we are, 2018, and only now am I getting to a serious and detailed study of this special monograph. Unfortunate ! It is unfortunate because I waited too long to study this book in its entirety. To be sure, I had read portions of the text reprinted in the volume of Wheeler and Zurek: Quantum Theory and Measurement (1983). I was misled into believing that von Neumann's treatise was merely one of injecting mathematical rigor into Dirac's enterprise. However, that view (of mine) is incorrect. Portions of the text do accomplish that (for example, page 25), but, there is much more to it !(1) Perhaps the most captivating aspects deal with causality (for instance, pages 302, 305, 323, 326, 328). Allow us read: "As we see, the attempt to interpret causality as an equality definition led to a question of fact which can and must be answered, and which might conceivably be answered negatively." Chapter four will explain that statement !(2) The structure of this treatise is interesting: First, physical (chapter one) then, mathematical (chapter two), then an amalgamation of the physical and the mathematical (chapter three), following which, statistical (chapter four) and, finally, measurements (chapters five and six; these two chapters are the pages reprinted in the 1983 Wheeler & Zurek compendium).(3) Now, if you have John von Neumann, you need to study: Dirac, Kramers, Heisenberg, Pauli, and Schrodinger. It is my opinion that in order to appreciate all of these historical doents, you need to compare and contrast each. Previous to commencing, read two articles: London and Baer "The Theory of Observation in Quantum Mechanics (1939)," and Bryce dewitt "Quantum Mechanics and Reality" (1970, Physics Today 23(9):30-35). All are well worth the effort !(4) Not everything herein is difficult (that was another mistaken bias I possessed): For example, von Neumann explicitly shows how he justifies Dirac's "delta function" with (instead) his "function sequences." (see: footnote #84, page 128). Another is where we learn that the "trace is invariant" (footnote #113, page 179). So you will see, the more involved info are relegated to the footnotes. That is, the "rigor" which is here does not detract from the lucid exposition.(5) Something which is explicated herein: the interplay between discontinuity and continuity. That is, between discrete and continuous. Or, when the total energy is "known" the time-dependent schrodinger wave-equation is "continuous and causal," otherwise, confronted with discontinuous, instantaneous, and non-causal. Read: "the chief weakness of quantum mechanics is that it presupposes a simultaneity concept" but, "what we really need is not that the change of t (time) be small, but only that it have small result in the calculation of probabilities." (page 354).(6) Probability and Born: "the first statistical statements on the behavior of a system in the 'state- theta' originated with Max Born. Also, "although we believe that after specifying the 'state' we know the state completely, nevertheless, only statistical statements can be created of the physical quantities involved." (page 207).(7) Uncertainty Relations: "it will not be clear to common-sense without a further discussion why the position and velocity (coordinate and momentum) of a material body cannot both be measured with arbitrarily high erefore it is important to elucidate by an exact ysis... that this is not the case." (page 238). This, he proceeds to do. This is chapter three, a fine chapter entitled "the quantum statistics."(8) I conclude my review. In so doing, I apologize to John von Neumann and readers of my review. There is simply too much here that is fascinating and well-written. I have spent a lot of more hours studying the texts and papers of Dirac, Kramers, Heisenberg and Pauli and Schrodinger than anything von Neumann ever wrote. That is a mistake for which I intend to create amends. Obtain a copy of this fascinating treatise, and study the entirety of it !

**Mathematical Foundations of Quantum Mechanics: New Edition (Princeton Landmarks in Mathematics and Physics)**[] 2020-7-4 18:47

This is a masterpiece by one of the greatest scientists of all time. It nicely explains how Hilbert zone algebra sets the foundation of quantum mechanics. This 2nd edition also improves the typesetting significantly. But the price set by Princeton University Press is ridiculously high at ~$100. Considering von Neumann has passed away for more than half a century, this high price only reflects the greediness of academic publishers. Instead of being the disseminator of scientific knowledge, publishers like Princeton University Press monopolize the greatest intellectual achievements of humankind and play as barriers of their spread by making huge profits from them. It's a shame.

**Mathematical Foundations of Quantum Mechanics: New Edition (Princeton Landmarks in Mathematics and Physics)**[] 2020-7-4 18:47

It is always exciting to read a book written by one of the founders of a discipline. There could nothing more "straight from the horse's mouth" than John von Neumann's treatment of quantum mechanics in terms of Hilbert space--especially since von Neumann was a student of Hilbert at Gottingen--the epicenter of globe mathematics in the 1920's and early 1930's. The only method you could have a more authentic experience would be to read this book in the original German. it is also worth noting that von Neumann's book is popular for its treatment of the hidden variables enigma in quantum measurement.Von Neumann's mathematically intense development of quantum mechanics in terms of Hilbert zone contains a statistical treatment involving such concepts as the Stieltjes Integral. Some familiarity may be gained regarding this and other statistical devices used by von Neumann from the online statistics text book "statlect" written by Marco Taboga, who is senior economist at the Bank of Italy. Better yet, as pointed out by another reader, is Hughes' perfect introductory book The Structure and Interpretation of Quantum Mechanics provides the reader with much of what he needs to understand von Neumann's treatment. Hughes provides the reader with the equivalent of a B.S. in physics a lucid and accessible introduction to Hilbert zone in quantum mechanics. Other perfect Books addressing quantum mechanics in terms of Hilbert zone at the level accessible to first year graduate students contain Guido Fano's Mathematical methods of quantum mechanics and T. F. Jordan's Linear Operators for Quantum Mechanics (Dover Books on Physics).

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

There are books that teach you stuff, and there are books that begin the door to a globe you never knew existed. Arnold's "Mathematical Methods" is, to this day, my secret door to attractive mathematics. If you are looking for an simple read, this is the wrong place. Arnold's writing is the very opposite of Bourbaki's style of mathematical exposition that leaves very small to your imagination. This book frees your imagination, and it forces you to ask yourself a lot of questions, something I have experienced with very few other books. Arnold was a man with powerful and vocal opinions. In particular, he was a vocal supporter of geometric thinking as opposed to algebraic thinking. This book is as eloquent an argument on the depth and beauty of geometry as you could search anywhere. Arnold has poured his mind and heart in this book, and his magic will certainly affect you. All you need is an begin mind.

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

This is a thorough, mathematical treatment of classical mechanics as well as it's underlying mathematics. The sections on Hamiltonian dynamics and symplectic geometry are particularly impressive. I've had a lot of "mixed" experiences with small yellow books from Springer, but this is well done and quite readable. The fact that it's translated from Russian is surprisingly not an problem (no awkward phrasing, descriptions and conversational sections still "feel conversational").

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

Extremely stimulating, uses Galileo to motivate Newton's laws instead of postulating them. Treatment of Bertrand's theorem is beautiful, but includes one error (took me 2 years before I realized where..). However, I know of only one physicist who successully worked out all the missing steps and taught from this book. I know mathematicians who have cursed it. I used/use it for inspiration. The treatment of Liouville's integrability theorem, I found too abstract, found the old ver in Whittaker's ytical Dynamics to be clearer (Arnol'd might laugh sarcastically at this claim!)--for an interesting variation, but more from the standpoint of continuous groups, see the treatment in ch. 16 of my Classical Mechanics (Cambridge, 1997). In my text I do not restrict the discussion of integrability/nonintegrability to Hamiltonian systems but contain driven dissipative systems as well. Another strength of Arnol'd: his discussion of caustics, useful for the study of galaxy formation (as I later learned while doing work in cosmology). Also, I learned from Arnol'd that Poisson brackets are not restricted to canonical systems (see also my ch. 15). I guess that every researcher in nonlinear dynamics should study Arnol'd's books, he's the 'alte Hasse' in the field.

John Von Neumann turrets as one of the amazing mathematicians. Said by some to possess skills exceeding normal human capabilities, he was able to contribute to a lot of various locations of science and engineering, including computer systems theory, set theory, functional ysis, and statistics. He also contributed immensely to the field of quantum is book represents that immensity. Covering the development of the Transformation Theory and its origin to the Measuring Process, von Neumann is capable of providing the mathematical rigor as well as detailed and simple to understand commentary throughout this necessary e Notes in this work stand out, especially. They are informative and compliment the main text explicitly, expanding it and making it more informative. They often go beyond a easy reference to operate as a subtext of the main text, not to be ignored.Further adding to this point is the fact that von Neumann, throughout this work, continues to give private commentary: *reasons* for and historical references to, the a lot of mathematical pronouncements and derivations. For instance, on page 196 he begins to develop the statistical assertions of quantum mechanics. By page 198 we have been shown "one of the first and simplest examples by means of which the statistical hero of quantum mechanics was recognized." Not only was the derivation clear and concise, the reader is provided the historical context as well.Often a book of this sort is more a historical doent than active reference (unless you are capable of the math). As such, books on quantum mechanics authored by the early founders (and, in this case, a later superb contributor and inventor of notions like "quantum logic") offer an insider look at the mindset of both the classically trained physicist versus what the fresh physical theory asked of that r instance, this is reflected in a superb Preface, wherein the author states the object of this book ("to show the fresh quantum mechanics in a unified representation which, so far as it is possible and useful, is mathematically rigorous...what is presumably a definitive form: the so-called "transformation theory."). We also learn in this Preface that "we shall as a rule omit any discussion of the app of quantum mechanical methods to particular problems, as well as any discussion of unique theories derived from the general theory - at least so far as this is possible without endangering the understanding of the general relationships."He goes on to point out that his mathematical treatment in this work "deviates considerably from that of Dirac." Thus, he takes Dirac's "elegant" theory for it "in no method satisfies the requirements of mathematical rigor - not even if these are reduced in a natural and proper fashion to the extent common elsewhere in theoretical physics. For example, the way adheres to the fiction that each self-adjoint operator can be place in diagonal form."Von Neumann's solution is to begin from the beginning with Hermitean operators and Hilbert locations which "provide the framework" for the Transformation Theory. This book is that story in the authors own voice.I suggest you purchase a copy for your library today.

As an undergrad, I am sorry that I cannot share the perspectives of specialists as expressed below. After initial introductory courses, I got fascinated by certain untold conceptual issues. And one of the textbooks (probably Griffiths) suggested von Neumann had tried to prove mathematically that the classical formulation is just the furthest the formalism can go and we don't have to worry about underlying complexities. Later, Bohm made a formalism which von Neumann "proves" to be mathematically impossible in this book. I bought this book just to search out how the proof goes. But I got stuck with some tedious proofs on Hilbert zone (which he calls a "digression"). This part isn't essential but as the braket notation is not used you need to consult this part. I think at least a powerful background in linear algebra is required. Definitly not an introductory textbook. Most useful for those who study history of physics.

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

This book written by the amazing Geometric mechanic provides a firm and stable introduction and reference for mathematicians and physicists of Geometric mechanics. Arnold begins the book with a brief introduction to Newtonian mechanics and develops onto Lagrangian and Hamiltonian formalisms. The descriptions and derivations are rigorous in that they provide a solid ground to advance between frameworks. In addition, he incorporates several subjects (the "hidden" structures) that are rarely discussed in typical core courses of classical mechanics such as group theory, topology, and differential geometry. When one reaches Lagrange's equations, we are introduced to the theory of manifolds and how one can appropriate mechanics to this fresh formalism. From then on, one reaches Hamiltonian physics with discussions on symplectic manifolds along with Lie algebras and a well written chapter on perturbation theory. The issues provided ask primary questions but most rely on verifying the propositions of the author.I feel the most vital portions of this book are the appendices. They provide introductions to topics which are necessary for researchers, one being on contact manifolds (Contact structures) which are necessary when one has an odd-dimensional manifold. Other subjects are dynamical system symmetries and normal forms and to a lot of fields they are still relevant for researchers.I would suggest this book for those who seek a deeper mathematical understanding of Mechanics, so can be seen as the step beyond Goldstein for example. Compared to other books of Geometric Mechanics it is docile. Walter Thirring's book "Classical Mathematical Physics" is actually more rigorous and Prop-Proof based. If someone wishes to dive even deeper, one can check out Souriau's "Structure of Dynamical Systems" or the mammoth tome "Foundations of Mechanics" by Ralph Abraham and John r dynamical systems and nonlinear dynamics researchers, this is a amazing book to mature mathematical tools and ideas.

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

Lagrangian and Hamiltonian mechanics are elucidated using the appropriate mathematics, namely variational calculus and symplectic geometry. The appendices provide even more useful info, including eg. the Euler-Arnold equation and contact geometry. Eschewing Bourbaki-style theorem/proof writing, much more mathematical maturity is nevertheless expected of the reader compared to a typical mechanics textbook. Amazing for mathematicians looking to start their physics education!

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

This book shines absolutely shines a light on classical mechanics. Arnold gives you a clear mathematical language in which you can begin to understand the structure of the physical theory beyond the standard approach of solving the endless terse issues given in most texts.

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

I took my First course of Symplectic Geometry and i used this book, is a excellent introduction to this branch of Geometry. The ideas were very natural and easy, so allow you understood very well the true meaning of the results.

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

Arguably, the applicability of a mathematical theory (or its links with other well established parts of this science) is what makes it important. This book serves to justify in this sense the study of ordinary differential equations, calculus of variations, Riemannian geometry, symplectic geometry, Lie groups and Lie algebras, manifold theory as well as other more specialized topics such as integrable systems or catastrophe ere are a lot of other books on classical mechanics, some of them stronger than this one in some respects but this is the book to read if you do not wish or can't consult a whole library. Foundations of Mechanics by Abraham and Marsden is a colossal treatise that certainly seeks to be a reference work rather than a textbook, it can be useful as a put to look for info you cannot search in the appendices of Arnold's book; Introduction to Mechanics and Symmetry by Marsden and Ratiu is more accessible, the historical comments and abundance of examples are very interesting or/and enlightening, however the order and choice of material is somewhat puzzling, it is inevitable to compare it with Arnold's brilliant layout: one begins with Newtonian/Galileian approach and subsequently those methods are refined and generalized with the Lagrangian and Hamiltonian ry worth mentioning are the appendices which constitute almost half of the current edition of Arnold's book: one can search there from an intuitive discussion of Riemannian geometry and the generalization to finite and infinite dimensional Lie groups, created by Arnold in the sixties, of Euler's equations for the rigid body, to discussions of the now so famous momentum maps, Poisson structures, Kähler manifolds, KdV equations and a bit of KAM not expect this book to give you (as a previous reviewer wrote) all the epsilons and deltas and explicit formulae you might be used to search in a textbook, the arguments are very concise and sometimes the proofs are cryptic but very often the intuitive idea and the geometrical insight of a proposition is all that is needed to produce a rigorous proof and that's exactly what this book gives you.

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

Seems like a amazing book, but you'd better read the foundations of differential geometry and variational calculus elswhere before tackling this one. With enough preliminary knowledge, this could be quite the gem indeed, giving physical intuition to the abstract topic.

Bought this as a show for my dad. He is very happy with the quality of the book and he thinks it's very well priced compared to what they have to pay for the same in Europe. He also received it within a week after purchasing from the USA .So very happy !

**Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)**[] 2020-6-30 18:55

This book is an perfect introduction to the globe of classical physics for NON-PHYSICISTS. While some physicists will no doubt search it accessible, there is considerable reduction of physical concepts in order to obtain to the heart of the ideas underlying the formalism. Also, the material goes beyond what most physicists (non-theoreticians) will search practical.He focuses largely on a geometric presentation, in the language of differential geometry, symplectic geometry, differential forms, Riemannian manifolds and contains a huge amount of algebraic necessities. This is not a cookbook for learning how to solve classical mechanics, nor is it a math book per se, but it is a unbelievable collection of introductions to a vast amount of useful mathematical formalism that permeates the physical literature. I would strongly recommend it to someone needing a thorough supplementary mechanics text, one that relies on very small physical insight and focuses on the geometric and algebraic structures underlying e chapters are very well self-contained for the most part so you can skip to subjects you search more appealing without feeling lost. Also, his presentation style is very clever, in case you're a fan of fast thinking and novel presentations (who isn't?).The prerequisites are familiarity with somewhat advanced calculus and "mathematical maturity". Primary knowledge of group theory would also create it an easier read.

This book is a classic. Anyone who is interested in an axiomatic treatment of quantum mechanics should obtain this book. The only drawback is that it looks like it was typed on a typewriter, so I recommend learning about operator theory from a more modern text with a more readable font. But Neumann's book is unbelievable for its mathematical and physical insights. Most calculations done in the book are with operators that have a discrete spectrum, but it isn't a huge problem. It does deal with continuous spectra in some locations though. If you are looking for extensive examples of using unbounded operators with continuous spectra, this book doesn't have it. But I cannot recommend this book enough.

This is a beautifully written book, more for mathematicians than for physicists, since von Neumann does not really discuss the physics that goes into the subject. There is also an emphasis on "foundation", so you will not have too a lot of examples of hydrogen atoms work out. The style is also unmistakably mathematical. Every mathematician with an interest in quantum mechanics should have this book.

First allow me first say how amazing this album is. John Mayer is one of the best guitarists in America, and rightfully so. This album incorporates sweet, lonely blues, pulsing rock, and a swinging piano ballad on the latest track. I knew all this when I bought the vinyl version. However, this is NOT a clean ver of the album as advertised. This wasn't a large disappointment... the quality of the record is stellar. The only reason this is a four star review and not a five, is that the included digital mp3 files are not a "clean" edit version. However the mp3 files for purchase are listed as such. Slightly misleading. Just create sure you know that going into the purchase

The magic of John Mayer's melody lies in the method how easy and simple to understand it is to an average listener, while keeping perfect quality that should satisfy even the most morose and sharp critics. It is no exaggeration to name "Continuum" not only one of the best albums of the decade, but also to demand ensuring it a put on TOP 100 lists of all time and adding John Mayer to Hall of Fame. I give such praise very rarely, here are my reasons:1) songwriting is additional strong2) every man can identify with lyrics, John Mayer is not playing too intellectual or sophisticated, yet the words are by no means trite3) and maybe the most strong side of the album are its instrumental performances and yer, an perfect guitar player (who else could cover Jimi Hendrix's "Bold As Love" profusely and not create it sound out-of-place on a breezy pop-blues album like this?) surrounded himself with a group of equally perfect musicians (e.g. Pino Palladino), giving each song its very own feel, making them uniformly beautiful, various from each other and at the same time wonderfully rical side is strong, too - while John's unassuming modesty encourages every listener to confide in him with his broken heart or joy in return, Mayer touches also on the worldwide happenings ("Waiting On A Globe To Change"), even doing it in an irresistible musical method (witness "Belief", one of the best-arranged tune of latest years). And when you think that the next song just cannot be so amazing as the previous one, comes the ballad "Dreaming With A Broken Heart" or a closer "I'm Gonna Search Another You", where a simple, light breakup tune is profoundly helped by a bluesy anks, John. This album should stay immortal.

Its a unbelievable album but the pressing is weird and amazon autorip doesn't give you all the songs on this album nor does it give you the unedited songs. Back to the pressings I had to return a few of them I would always obtain one side on A or B that sounded poor C and D always sounded amazing but A and B side had issues. There is no digital download code inside this product.

John Mayer's 3rd studioalbum Continuum is without doubt his best work to date. No matter how amazing they are, his other albums do not even come close to the masterwork Continuum 's also the first record John co-produced with Steve Jordan. Is there anything this multi-talent can't do?John's songwriting progressed a lot since Heavier Things and the effect is even more attractive (Dreaming With A Broken Heart), edgier (Belief) en sensitive (I'm Gonna Search Another You) than his earlier y people will recognize themselves in the social Waiting On The Globe To Change. Mayer takes a true risk with the Jimi Hendrix cover Bold As Love, plays with country influences on The Heart of Life and that guitarsolo on In Repair... Well, you just have to experience it.But also songs as Stop This Train (which became my private anthem), I Don't Trust Myself (With Loving You), Slow Dancing In A Burning Room en fan favorite Gravity are pure ltures is my least favorite song on this record, but that doesn't mean it's a poor hn Mayer's Continuum, with it's powerful jazz and blues influences, is a pure masterpiece that came right from his wonderful talented heart and will go straight into yours!

I am not familar with John Mayer's work prior to "Continuum", but this dude got it right with this particular disc. I was drawn in by his breakout song "Waiting on the globe to change" impressed with its political conscience. But after listening to the whole disc a number of times, the other outstanding songs unfolded. The song "Slow dancing in a burning room" was the first song to jump out at me; any person that has been in a tumultuous relationship can definately relate. The lyrics in that song are amazing. After I wore that song out, I noticed "Gravity" and its amazing lyrics. Next, was the old Hendrix song "Bold as Love" Mayer might not be on Hendrix's guitar playing level, but he does a masterful job on this one. The more uptempo "Belief" then caught my ear. A song I believe is ultimate truth. Finally I felt the flavor of "Dreaming with a Broken Heart" A very haunting and compelling song and performance by Mayer. He will be performing with Eric Clapton tommorow Bryant PK NYC 7.00AM free. They say obtain there early, but if he is with Clapton you might have to camp out the day before. I don't know the classification of Mayer's music, but I do believe this record brings back "excellent" lyrical content to the mainstream.

John continues to place out one amazing album after another. I just can't obtain enough of him... it's hard to believe that I was a sophomore in college when he was born! I love that he shares various styles with his fans on each album... wonder how a lot of styles he has in there? I have a feeling that he's not done surprising us. My only critique on this one is that I didn't really need to hear "Gravity" and "Vultures" again so soon after the Trio CD, but since those are both such amazing songs I'll forgive him for including them. Although really, I would have preferred to hear two fresh songs...That said, (I'm editing my review on 11/25/06)... Now that I've listened to this CD a million times, I can see a definite process of discovery in my listening... first I fell in love with "I'm gonna search another you," and that blew me away for a while. At the same time, I didn't really obtain a couple of the songs... maybe due to their melodic simplicity, which really belied their real complexity. Now I have completely "gotten" those songs and love them too. After the initial discovery process (listening at the computer or in my car), I progressed to the real test: listening in bed, with headphones, at three in the morning, while reading the lyrics. At this scene I realized how completely genius this album really is. I "got" "Waiting on the Globe to Change" in a method that I hadn't previously. I also changed my favorite song on the album to "Belief"... in my opinion that might be the best song John ever wrote. I came to REALLY appreciate his expertise on the guitar and vocals on the challenging Hendrix tune, "Bold as Love." I came to REALLY appreciate John's unbelievable vocal range, including his amazing falsetto, as well as the exceptional choir-like backup vocals on a lot of of the ter listening to this CD about ten times, I was still thinking that "Heavier Things" might be my favorite CD of John's. Now that I've matured in my listening of it... there is no question in my mind that this is John's best CD. If he ever reads these reviews, I would wish to thank him personally for taking us along on this journey with him. It's a amazing ride!

This textbook is a must for anyone doing modeling/computational materials science. This book is very related and on par with Rob Phillips Crystals, Defects, and Microstructures Modeling Across Scales but adds a small more "hands-on" for the student. To date I have yet to search a textbook which covers interatomic potentials like this one. The authors provide complete derivations of interaction energy, and even forces, for pairwise and manybody potentials. Since this is the most crucial aspect of any molecular statics/dynamics simulation, its nice to have a thorough reference at hand. In general the text is well written and nicely formatted with useful example issues and exercises in most chapters. The multiscale aspects are predominantly focused on coupling mechanics of materials which probably reflects the authors backgrounds and research interest. Although the price might be steep this is a nice text to supplement other computational materials science textbooks that I have reviewed.

Allow me begin by saying, I absolutely love this record. I was very much looking forward to its arrival. However, There were multiple dents and creases on the front of the album jacket. It arrived in very nice protective/secure packaging, which means that this was damaged prior to it being shipped. (I bought 5 records from Amazon, 4/5 had related damage.) As a collector of vinyl i search this very disappointing, as the "condition" of vinyl greatly affects the value. As soon as Amazon corrects this issue (along with the other 3) i will happily change this review because i love this record!!FUN FACT: There IS in fact an photo on the front of the album!!! It just happens to be white on white so it is very hard to create out, but if you look at it in proper lighting you can see the outline of John's body from the original alternate album art.

There are artists that you've heard of, but have never heard their music. You intend to listen to them, but never seem to obtain around to it. That's what it was like for me when it came to John Mayer. Then I bought "Possibilities" by Herbie Han and after hearing his collaborative effort with John on "Stitched Up", I have to admit that I was missing out on a real musical talent for all this time. So when "Continuum" was released, I didn't hesitate to purchase it. The CD showcases John's musical versatility, superb songwriting ability, guitar playing skills that are right up there with Clapton, and sinuously bluesy vocals. The first few tracks have definite soulful undertones, such as "Waiting on the Globe to Change" which is very reminiscent of Curtis Mayfield (when he was with The Impressions). "I Don't Trust Myself (With Loving You)" is perhaps my favorite while the driving "Belief" and funky "Vultures" vie for a close second. "Stop This Train" is kind of folksy with "Bold as Love" channeling Jimi Hendrix in real rock and roll style. "Gravity" and "I'm Gonna Search Another You" create you wonder how someone of Mayer's age can sing the blues with such seasoned feeling and passion. I must also pay homage to the other two-thirds of The John Mayer Trio - Jordan and Pallidino - because the musical fusion of this threesome adds the spice that makes "Continuum" cook. So if you've been thinking about listening to John Mayer, don't hold putting it off - you'll be depriving yourself a true treat.

I bought Paradise Valley a while back and was blown away by Mayer's sound, especially his guitar licks. Now this album has some true amazing guitar licks in it, and overall catchy hooks and lyrics (Waiting on the Globe to Change, Gravity, Slow Dancing...). It's an album to just sit back and mellow out to in the dark (at least it is for me). This album really relaxes me in a method that not a lot of others can do. Every song is worth listening to (he even covers a Hendrix tune) and I'm glad I bought this album!

The topic matter in this book is divided into four parts. Part I covers continuum mechanics and thermodymics concepts that sever as the basis for the rest of the book. The description of continuum mechanics and thermodynamics is brief and meant to create this book a stand-alone book. Part II covers atomistics, discussing the primary structure and symmetries of crystalline materials, and molecular statics-a computational approach for studying static properties of materials at the atomic scale. Part III focuses on the connection are forged between the discrete globe of atoms-described by atomic positions,velocities and forces- and continuum concepts such as fields of stress and temperature. Finally, the topic of molecular dynamics is presented. Part IV on multiscale methods describes a class of computational methods that attempt to model material response by simultaneously describing its behavior on multiplespatial and temporal scales. The final part of the book draws together and unifies a lot of of the concepts presented earlier and shows how these can be integrated into a single modeling shows at first, various treatment in the principles of multiscale modeling, focusing on a critical ysis and understanding of the fundamental assumptions, which is essential for anyone seeking to combine various theories in a multiscale condly, some of the subjects herein are often treated from the perspective of the gaseous or liquid states, but, in this book, its emphasis is on solids. and this changes the presentation in necessary ways. Similarly, it works for constant stress simulation in molecular ird, while covering this board range of subjects the authors strive to regularly create connections between the atomistic, statistical and continuum worldviews. Finally, a amazing balance between fundamental theory and practical ``how to'' is tried to bining a lot of mathematical theories in one book is a huge challenge by e book has effectively combined the necessary mathematical theories, empirical methodsand the practical implementation of such topics. For the most part, these serve as examples to illustrate the app and usefulness of modeling far as modeling goes, the fact must be recognized that the materials exhibit phenomena on a board range of spatial and temporal scales that combine together to dictate the response of a material. These phenomena range from the bonding of individual atoms governed by quantum mechanics to macroscopic deformation process described by continuum mechanics. Different aspects of materials behavior and modeling, which tends to focus on specific phenomena at a given scale, have traditionally been treated by various disciplines in science and engineering. There is increased awareness that materials must be understood, not only by rigorous treatment of phenomena at each of these scales alone, but rather through consideration of the interactions between these is perfect book is addressed to graduate students and researchers in chemistry, engineering, materials science, mathematics, mechanics and physics. It is very suitable for people in such fields who wish to study advanced achievements in modeling materials.

I first heard about this book when in engineering graduate school. At the time, this book was out-of-print, so my ver came from an almost unreadable nth xerox copy, where n is a very huge number. Having had two courses in Continuum Mechanics, I was in a position to appreciate this book. In addition to defining the trace and determinant in the usual way, for example, this book also lucidly presented invariant direct notation definitions. This book includes an perfect derivation of the jump relations that must be happy across moving shocks. This book is too disorganized and incomplete to serve as an introductory textbook, but it is fabulous as supplemental reading if you seek fresh insights on subjects you already know.

Maybe it has some use for reference, but for first time studying, this book is too concise to really explain things clearly for sides, the notation is also not in accordance with that used by today's n't buy it. Buy Malvern's book instead. 'Introduction To The Mechanics Of A Continuous Medium' is the best book for studying this topic and also for future reference.

I originally bought this book as a reference when I was taking my FEA graduate school course to supplement some of the concepts, namely tensors. I found the book hard to follow since it did not have detailed examples worked out; this may be suitable for more advanced graduate level courses (i.e. doctorate level).

When I first heard that John Mayer was revamping his style, I didn't understand why. Mayer now seems totally embarrassed by much of his earlier material, like "Daughters" (which I still think is a terrific song.) While I understand and appreciate artistic growth, I think it's silly for John to be embarrassed by his earlier material. I'm also not too fond of the darker photo (Rolling Stone interview) he seems to be heading toward; however, that's not what this review is om the very first listen, Continuum bowled me over. Gone are the candy lyrics and pop sounds. This record is in a slow, bluesy style with perfect electric guitar all the method through. The greatest thing about this cd is how it flows. Very smooth and each songs transitions well into the favorite track is probably "Stop this Train." I love the lyrics of this song and the easy acoustic accompaniment. If I had to pick a least favorite song, it would have to be the Hendrix' cover, "Bold as Love." I don't hate this song by any means, but I like it less than the rest of the cd. This is more a positive reflection on the quality of the cd than a negative reflection on "Bold as Love."All said, I think this cd is terrific. John Mayer has a large amount of potential and this cd is the first of a lot of amazing things to come, I'm sure. I just hope that John isn't so hell-bent on escaping his goody two-shoes pop image, that he foolishly goes in the opposite direction and someday becomes a casualty of the rock and roll lifestyle.*** It is now September of 2007. One thing has changed since I did this review, and that is my appreciation for the Hendrix cover, "Bold as Love." It took a while to grow on me, but now I can really appreciate it as being a valuable part of the cd. For my ears, Continuum is still the best pop cd to come out over the latest few years, and I'm still thoroughly enjoying it. ***

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Principles of Continuum Mechanics[] 2020-11-21 18:40This is a amazing text for senior to graduate level continuum mechanics. Very complete in terms of theory, although the practice issues often leave something to be desired.

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Introduction to Continuum Mechanics[] 2020-6-22 19:54Comparing this book with Spencer's book, this one is definitely better. It is crystal clear. I like the method they divide into little sections, so the content is more organized and simple for me to follow.

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Introduction to Continuum Mechanics[] 2020-6-22 19:54Perfect reference for a mind-bogglingly difficult topic.

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