For one-semester/-year, junior-/senior-level courses in Quantum Mechanics and Quantum Chemistry. This text first teaches students how to do quantum mechanics, and then provides them with a more insightful discussion of what it means. Fundamental principles are covered, quantum theory presented, and special techniques developed for attacking realistic problems. Two-part coverage organizes topics under basic theory, and assembles an arsenal of approximation schemes with illustrative applications.

《经典力学的数学方法(第4版)》以最优美的现代数学形式讨论经典力学问题，它本是数学或力学专业的学生学习理论力学的教材，但实际上。它的范围已经远远超越理论力学，是现代数学的一个重要方面——辛几何。原书被译为多国文字出版，并由Springer收入GTM丛书，以英文广泛发行。本书已修订为第4版，主要内容包括牛顿力学、拉格朗日力学和哈密顿力学三大部分，通过经典力学的数学工具，考察了动力学的所有基本问题。特别是16个附录，使原书的主题更为鲜明：辛几何与辛拓扑，它们反映了几十年来数学科学在一个方面的发展。这些附录都属于专题介绍性质，是作者和他的学生们在有关方面近年来研究工作的总结。
《经典力学的数学方法(第4版)》可供高等学校数学、物理、力学及相关专业的本科生、研究生、教师，以及相关领域的研究人员参考使用。本书由阿诺尔德著。

"The standard work in the fundamental principles of quantum mechanics, indispensable both to the advanced student and to the mature research worker, who will always find it a fresh source of knowledge and stimulation." --Nature
"This is the classic text on quantum mechanics. No graduate student of quantum theory should leave it unread"--W.C Schieve, University of Texas

Reviews from the First Edition: 'An excellent text? The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner' - ("American Scientist"). 'No matter how gently one introduces students to the concept of Dirac's bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of' - ("Physics Bulletin").Reviews of the Second Edition: 'This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details - all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. It would be particularly useful to beginning students and those in allied areas like quantum chemistry' - ("Mathematical Reviews").R. Shankar has introduced major additions and updated key presentations in this second edition of "Principles of Quantum Mechanics". New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: clear, accessible treatment of underlying mathematics; a review of Newtonian, Lagrangian, and Hamiltonian mechanics; student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates; and, unsurpassed coverage of path integrals and their relevance in contemporary physics.The requisite text for advanced undergraduate- and graduate-level students, "Principles of Quantum Mechanics, Second Edition" is fully referenced and is supported by many exercises and solutions. The book's self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics.
The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.

《经典力学(第3版·影印版)》是一本有着很高知名度的经典力学教材，长期以来被世界上多所大学选用。本影印版是2002年出版的第3版。与前两版相比，第3版在保留基本经典力学内容的基础上，做了不少调整。例如，增加了混沌一章；引入了一些对新研究问题的方法的讨论，例如张量、群论的等；对于第二版中的一些内容做了适当的压缩和调整。
全书共13章，可作为为物理类专业经典力学课程的教材，尤其适合开展双语教学的学校，对于有志出国深造的人员也是一本必不可少的参考书。

In the years since it was first published in 1973 by McGraw-Hill, this classic introductory textbook has established itself as one of the best-known and most highly regarded descriptions of Newtonian mechanics. Intended for undergraduate students with foundation skills in mathematics and a deep interest in physics, it systematically lays out the principles of mechanics: vectors, Newton's laws, momentum, energy, rotational motion, angular momentum and noninertial systems, and includes chapters on central force motion, the harmonic oscillator, and relativity. Numerous worked examples demonstrate how the principles can be applied to a wide range of physical situations, and more than 600 figures illustrate methods for approaching physical problems. The book also contains over 200 challenging problems to help the student develop a strong understanding of the subject. Password-protected solutions are available for instructors at www.cambridge.org/9780521198219.

This book provides a series of concise lectures on the fundamental theories of statistical mechanics, carefully chosen examples and a number of problems with complete solutions.
Modern physics has opened the way for a thorough examination of infra-structure of nature and understanding of the properties of matter from an atomistic point of view. Statistical mechanics is an essential bridge between the laws of nature on a microscopic scale and the macroscopic behaviour of matter. A good training in statistical mechanics thus provides a basis for modern physics and is indispensable to any student in physics, chemistry, biophysics and engineering sciences who wishes to work in these rapidly developing scientific and technological fields.
The collection of examples and problems is comprehensive. The problems are grouped in order of increasing difficulty.

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Beginning students of quantum mechanics frequently experience difficulties separating essential underlying principles from the specific examples to which these principles have been historically applied. Nobel–Prize–winner Claude Cohen–Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a clarity of organization, careful attention to pedagogical details, and a wealth of topics and examples which make this work a textbook as well as a timeless reference, allowing to tailor courses to meet students′ specific needs. Each chapter starts with a clear exposition of the problem which is then treated, and logically develops the physical and mathematical concept. These chapters emphasize the underlying principles of the material, undiluted by extensive references to applications and practical examples which are put into complementary sections. The book begins with a qualitative introduction to quantum mechanical ideas using simple optical analogies and continues with a systematic and thorough presentation of the mathematical tools and postulates of quantum mechanics as well as a discussion of their physical content. Applications follow, starting with the simplest ones like e.g. the harmonic oscillator, and becoming gradually more complicated (the hydrogen atom, approximation methods, etc.). The complementary sections each expand this basic knowledge, supplying a wide range of applications and related topics as well as detailed expositions of a large number of special problems and more advanced topics, integrated as an essential portion of the text.

Analytical Mechanics provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.