A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies by (PDF)

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User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I am writing to alert buyers that the quality of the printout is very poor. It seems to be a xerox of the original material and in many parts you can not see what is written. Watch out.Concerning the book itself, it is a classic and need no more words because something is classic due to its content and quality.

⭐As the other reviewers put it, a classic. Well worth the price! My only comment is this facsimile edition is a scan of the original (not reset). Some of the formulae are small and not as clear as I wish-there is extensive use of the Newtonian notation for derivatives. It is usually ok to read, and context helps with meaning as does a reading glass.

⭐I got a kindle edition thinking that the contents are the same as book version. Unfortunately, the kindle version does not have many fonts, equations, variables, and diagrams. I want my money back. I also suggest Amazon to remove this version as many users might make the same mistake as I did.Please check the sample view, they do not make any sense.

⭐This text is nearly 100 years old, but it is one of the best and most lucid written on this important (though rather limited-audience) topic. The treatment of third-body perturbations is particularly well-done, and useful for gaining an understanding of the physics and techniques employed when analyzing such problems. This is written at a high level, yet is very complete, as there were no “computer aided” tools available to the author in the early part of the 20th century.Closely related and a good complement to this book is the 1914 text “An Introduction to Celestial Mechanics”, by F.R. Moulton.

⭐Aweful reprint, never waste your money on this version

⭐This is the most referenced mechanics book in contemporary physics. In fact, it seems rather challenging to find a mechanics book written in the last hundred years that doesn’t reference this work. As such, reading it is almost mandatory for the serious physics student. But before you read it, make absolutely sure that you are getting the fourth, and final, edition.This is an odd book for the modern reader. It does not make any use of vector notation and assumes you have never seen a matrix before, even providing a rather quaint introduction to this “mysterious” topic toward the end. On the other hand, it absolutely expects you to have a solid working knowledge of elliptic functions. Reading both

⭐and

⭐beforehand and in that order should be enough for you to get by. In addition, some background in Spherical Trigonometry such as

⭐will prove helpful as well.Also this book contains exactly four figures, and will never illuminate with a picture when half a page of careful text will do the job instead.This is definitely a graduate level book even now, but one of the things that surprised me was the distinct lack of detail in some parts. Don’t get me wrong: this will likely be the most detailed mechanics book you’ve ever read, but it may well leave you wanting more in some areas.The first chapter is on Kinematics. It sets the stage well for the rest of the book. It offers some dated coverage of both quarternions and Cayley-Klein parameters for representing rotations. Euler angles are chosen as the canonical standard, although the convention employed differs from what I see most commonly adopted. However, the convention given here did win me over as I worked with it. The overall flavor of the chapter, and indeed the books as a whole, is very geometrical. And by geometry, I mean Euclid, not differential.The second chapter is on equations of motion, and heads straight for Lagrange’s formulation via D’Alembert’s Principle. In the process it provides an excellent explanation of virtual displacements. It has a section on motion with reversed forces that uses the imaginary time formalism which I found very interesting.Chapter three focuses on strategies and techniques for integrating the equations of motion. That is, finding integrals for them.Chapter four treats soluble problems in particle dynamics. Among other problems, this chapter contains a detailed treatment of the circular and spherical pendulums making full use of elliptic functions. It uses the imaginary time formalism from chapter 2 to give a physical basis for the double periodicity of the elliptic functions which is quite satisfying.Chapter five covers the dynamics of rigid bodies while chapter six treats the soluble problems of rigid body dynamics. The free rigid body is treated as well as the symmetric top. However, the detailed theory of herpolhodes developed in the nineteenth century is skipped and Kovalevsky’s top receives cursory treatment. Apparently hyperelliptic functions are where this book draws the line.Chapter seven treats vibrations while chapter eight takes up non-holonomic systems and dissipative systems.Chapter nine discusses the principles of least action and of least curvature.Chapter ten switches gears to Hamiltionian mechanics and covers Hamiltonian systems and their integral invariants, both absolute and relative.Chapter eleven digs into canonical transformation theory, and in particular provides the clearest explanation of contact transformations I have ever seen anywhere.Chapter twelve discusses the properties of integrals of dynamical systems.Chapter thirteen begins working on the three body problem while chapter fourteen proves in detail the theorems of Bruns and Poincare regarding the absence of additional algebraic integrals other than the fairly obvious ones given in chapter thirteen. This is quite a daunting chapter, and the reader will need to be conversant with the elementary theory of algebraic functions to follow it.Chapter fifteen is on the general theory of orbits and has a very nice section on orbits in general relativity. This chapter also contains all four of the previously mentioned figure in the book. However, I found its treatment of Riemannian geometry very interesting but entirely too superficial. This was one of the areas I felt the book really could have provided more meat.The sixteenth and final chapter covers integration by series. It provides only the barest introduction to dynamical astronomy, but is quite challenging nonetheless.Each chapter ends with a problem set, and many of the problems are quite difficult. Nonetheless, the book does provide quite a few worked examples throughout, and up through chapter six develops through these examples a rather methodical approach for analyzing particle and rigid body mechanics in a variety of situations which is alone worth the trouble of reading this book.And while I initially thought the absence of vector notation was an annoyance, I actually considered it a virtue by the end much to my own surprise. There is definitely something to be said for brutal explicitness.With all of that said, this should absolutely not be your first book on analytical mechanics. At a minimum, I would suggest already having

⭐under you belt.

⭐is also worth working through first.A difficult but rewarding work, although in all honesty in serious need of updating.

⭐Whittaker’s book is great but for the first time I had to learn how to send a book back to Amazon (it worked great, I’m happy to say). The copy I got was unreadable with lots of missing or half-printed symbols on every page. You cannot read a text in theoretical physics if you need to re-derive equation after equation. How is it possible that a printer does not check what they print?? I bought the same book from another publisher instead.

⭐Stampa pessima, incredibile! Anche una stella è troppo.これは酷い。なんでこんな物を売るのだろうか。数式が地文のなかに埋まっている。文字化けした式も多い。まったく読むに耐えない。Kindle版ではよくあるので気をつけていたが、まさか紙版でも同じことがあるとは。Kindle版を印刷したものだろうか。売る方の良心が問われる。

⭐

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