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Analytical Mechanics : A Comprehensive Treatise on the Dynamics of Constrained Systems (Reprint Edition), by John G Papastavridis
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This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Lur�, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.
Readership: Students and researchers in engineering, physics, and applied mathematics.
- Sales Rank: #2366418 in Books
- Published on: 2014-01-06
- Original language: English
- Number of items: 1
- Dimensions: 10.10" h x 2.20" w x 7.40" l, 5.10 pounds
- Binding: Hardcover
- 1416 pages
Review
"A monumental treatise ... which is going to become a reference book on the subject ... It should not be missed by anybody working in the area of analytical dynamics or only wanting to understand major problems of the subject ... This landmark reference source ... [is] the most comprehensive exposition available of the advanced engineering-oriented dynamics." -- Zentralblatt fur Math.
"This unique treatise should be part of every scientific library and scholarly collection in engineering science." -- IEEE Control Systems Magazine
"I recommend without hesitation Prof Papastravridis' treatise as a reference source to be acquired by every library of Mathematics, Physics, or Mechanical/Aeronautical/Electrical Engineering department. It is a different book, especially in our Internet era where instant satisfaction is often the primary (sometimes sole) goal of the student or researcher. Putting together 1392 (!!) pages of carefully prepared text and 172 figures (which then become somehow sparse) represents a major effort, to say the least." -- Bulletin of the American Mathematical Society
"Recipient of the annual competition award, in engineering, of the Association of American Publishers." -- The Outstanding Professional and Scholarly Titles of 2002 (March 2003)
"Unique in Contents and Perspective ... has no Competition in Depth and Breadth." -- Dr George Simitses, Professor of Engineering Science, Mechanics, and Aerospace Engineering University of Cincinatti and Georgia Institute of Technology, USA
"Probably the best of its kind and likely to become standard reference." -- Dr Alex Dalgarno, FRS, member of US National Academy of Sciences, and "father of molecular astrophysics" and Phillips Professor of Astronomy, Harvard University, and Harvard-Smithsonian Center for Astrophysics, USA
From the Inside Flap
This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Lur, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.
Most helpful customer reviews
8 of 9 people found the following review helpful.
The best Analytical Mechanics ever
By Joshua Ashenberg
This is my second review of this book, I gave five stars to the first edition, while my only cons (below in quotations) was the price (the book was out of print and a used copy cost at least thousand dollars!):
"My only criticism is about the price. It is not that this book isn't worth it; after all, it is the bible of analytical mechanics, no doubt, but even the holy bible costs two orders of magnitude less, thus the price becomes a barrier between this superb book and the potential reader, which is unfortunate."
Well, the problem was fixed; it is still not the cheapest book, but for 1400 pages of analytical beauty, for the most authoritative book in analytical mechanics, it is a fair price.
This reprint is very well formatted, and the binding is hardcover, as a classical book of this magnitude deserves.
In a nutshell, it is an excellent book for self study as well as the best reference for the analytical minded engineer, scientist and researcher. It is the mechanics book you want to have ready on your desk!
The rest of the review is the one I wrote for the first edition:
If you are a theoretical-minded dynamicist (mathematician, physicist or engineer), this is the one book you want with you on an isolated island (and if you have more space in your suitcase, take also Tensor Calculus and Analytical Dynamics). I hate to use hyperbole; therefore I'll just call it a fantastic book; which, in this case, is not a hyperbole at all. It is a 1400 page book, dense with beautiful mathematics, deep insight and criticism, comprehensive historical remarks, and general philosophy. Frequently it is even entertaining. There is a good balance between rigorousness and clarity, there is a meticulous use of notations, an extensive literature survey (even original references from French German and Russian), while the style is humble (which is hard to find these days in high level books). In short, it is a literature per se, and in my opinion, the best, and most comprehensive book, ever written on theoretical mechanics. If one wants to understand the deep theoretical foundations of mechanics, this is the book, and it is very readable.
The book uses the classical and reliable tensor calculus. The good news (to those who are scared of this animal) is that there is a self-contained introduction to tensors, so the reader doesn't have to open any other book to understand the notations. The use of tensors is specified, however, to the book. This author's other book, Tensor Calculus and Analytical Dynamics, is a definite solid source for tensor analysis, and I highly recommend it to the theoretically minded. But the author doesn't just give the tiresome technical details, the book is also full with geometrical explanations and with many self-explanatory plots.
A large part of the book is about the theoretical foundation of numerous approaches to the derivation of the equations of motion, under various constraints, holonomic, non-holonomic and others. As with many other issues, the author is very careful with definitions, and criticizes sloppy definitions and inaccuracies in other references, something that contributes to a deeper understanding of the reader. The book presents the most comprehensive analysis of constraint dynamics I know of. And there are many theoretical tools, such as the transpositional relations the important Frobenius integrability theorem, and more. Then it presents integral approaches, an extensive treatment of the Lagrangian, and variety of variational principles. In addition, there is a comprehensive review of Hamiltonian dynamics, including canonical transformations/perturbations, the beautiful Noether theorem (integrals of motion based on symmetries of action integrals), and more. The part on the Hamiltonian, humbly called "introduction" is in fact equivalent to a whole book on this subject, and it is very well presented. The book also presents some analytical solution methods to classical equations in non-linear dynamics. There are also many interesting, methodical (and non-trivial) examples.
Just a concluding remark. One may argue that a dynamicist needs only one working method. So a small book, presenting, say, Kane's method, is sufficient. I strongly disagree. First, problems in dynamics are different and require different formulation methods. Second, all methods are inter-connected, and a serious dynamicist must see the forest for the trees (and vice versa). Third, the greatest scholars for hundreds of years gave us many analytical tools and insight, and we shouldn't ignore them. This book answers brilliantly all above three arguments.
This book deserves more than 5 stars; but that is Amazon upper limit.
6 of 7 people found the following review helpful.
This book is worth the price of one hundred other books
By sp
This is, by far, the best single (most comprehensive) volume ever written in the English language on the subject of Analytical Mechanics.
This book has a 70 page !! bibliography covering, really, the entire modern literature on analytical mechanics including original works
in German, Russian, French, and Chinese.
Professor Papastavridis is a true master of mechanics and a throwback to another era when professors were paid to be professional
scholars. He stands right alongside the other modern masters of mechanics such as Synge, Hamel, Lur'e, Sedov, and Truesdell.
I have a collection of technical books in the 1200 volume range and If someone put a gun to my head and told
me that I could only keep one book, I would keep this one. This book is optimal for a graduate student in mechanical or aerospace
engineering. Even the 3 excellent texts by Donald Greenwood (the de facto standard for ME/AE students over the years) do not nearly
cover the same depth and breath of material. This book gets my highest recommendation.
1 of 3 people found the following review helpful.
Note that the original Oxford University Press edition has eight 5-star reviews;
By Gareth F. Williams
the webpage for those reviews is at: http://www.amazon.com/Analytical-Mechanics-Comprehensive-Constrained-Mathematicians/product-reviews/0195126971/ As the present edition is a reprint (with corrections), those reviews should be linked to this edition as well.
Once those reviews are linked to this edition, this review can be deleted.
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