Recent advances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. Classical Dynamics: A Contemporary Approach is a new and comprehensive textbook that provides a complete description of this fundamental branch of physics. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as detailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). The book contains many worked examples and over 200 homework exercises. It will be an ideal textbook for graduate students of physics, applied mathematics, theoretical chemistry, and engineering, as well as a useful reference for researchers in these fields. A solutions manual is available exclusively for instructors.
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'It strikes the right balance between physical reasoning and mathematical sophistication, at the same time as it takes the reader to the forefront of active research in the field … I recommend this book to instructors and students alike.' Meinhard E. Mayer, Physics Today
'Classical Dynamics strikes the right balance between physical reasoning and mathematical sophistication, at the same time as it takes the reader to the forefront of active research in the field … I highly recommended this book to instructors and students alike.' Meinhard E. Mayer, Physics Today
'… it is well written, with a thorough set of references, and would serve as an excellent resource for students and faculty alike who wish to learn many of the most important aspects of the mathematical physics behind the renaissance of classical mechanics.' R. W. Robinett, American Journal of Physics
'Classical Dynamics strikes the right balance between physical reasoning and mathematical sophistication, at the same time as it takes the reader to the forefront of active research in the field … I highly recommended this book to instructors and students alike.' Meinhard E. Mayer, Physics Today
'… it is well written, with a thorough set of references, and would serve as an excellent resource for students and faculty alike who wish to learn many of the most important aspects of the mathematical physics behind the renaissance of classical mechanics.' R. W. Robinett, American Journal of Physics
Über das Produkt
With many worked examples and over 200 homework exercises, this comprehensive textbook covers all the standard material in a graduate course on classical dynamics, plus advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A solutions manual is available exclusively for instructors.
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This chapter discusses some aspects of elementary mechanics. Lesen Sie die erste Seite
Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
This chapter discusses some aspects of elementary mechanics. Lesen Sie die erste Seite
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5 von 5 Kunden fanden die folgende Rezension hilfreich
Von Yonatan Zunger
Format:Taschenbuch
Classical mechanics often falls by the wayside in a modern physics curriculum. However, there are times when an understanding of subtle issues in this field are simply necessary for progress in current research directions. At times like these, one is all-too-often forced to turn to older texts such as Goldstein or directly to the literature of a field with which one is rarely intimately familiar. It is therefore a great pleasure to find a text such as Jose and Saletan's, a highly modern, extremely complete and very readable textbook on mechanics at an advanced level.
The book covers all of the standard topics of a graduate mechanics course (Lagrangian and Hamiltonian dynamics, rigid bodies, etc.) as well as more modern topics such as chaotic dynamics. All these subjects are treated in great detail and both in very physical and very formal languages. Most importantly, all of these discussions (including the formal ones!) are packed with completely worked examples which allow one to begin to use these techniques without attempting to decipher formal proofs.
The breadth of topics covered and the quality of the writing make this book a valuable addition to any physicist's workbench.
3 von 3 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Taschenbuch
This book combines the standard topics covered in a Goldstein-type course; but in a fresh light. Using techniques of modern geometry, presented in an understandable way, it explores not just the solutions of dynamical equations, but the behavior of those solutions over the manifold in which they operate. The book begins by applying this geometry to well established Newtonian mechanics. Once you have that under your belt you are propelled into the Lagrangian formulation in a way that seems quite natural and reveals, easily, the symmetries that lay within. This book is written in a tight and readable style that makes even the most difficult concepts accessable. I highly recommend it and hope that it becomes the standard by which other mechanics texts of this level are measured.
0 von 7 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Taschenbuch
Understandable concepts. Challenging. On theother hand, ANYTHING beats the lame Marion/Thornton text which is lost in a sea ofmindlesss formalism.
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