المصدر: A Brief Introduction to Classical, Statistical, and Quantum Mechanics في منتدى : قسم الفيزياء A Brief Introduction to Classical, Statistical, and Quantum Mechanics by Oliver Bühler American Mathematical Society | 2006 | ISBN: 0821842323 | Pages: 153 | DJVU | Size: 12 MB This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains.
