Colloquium Publications 1927; 305 pp; softcover Volume: 9 ISBN10: 082181009X ISBN13: 9780821810095 List Price: US$66 Member Price: US$52.80 Order Code: COLL/9
 His research in dynamics constitutes the middle period of Birkhoff's scientific career, that of maturity and greatest power. Yearbook of the American Philosophical Society The author's great book ... is well known to all, and the diverse active modern developments in mathematics which have been inspired by this volume bear the most eloquent testimony to its quality and influence. Zentralblatt MATH In 1927, G. D. Birkhoff wrote a remarkable treatise on the theory of dynamical systems that would inspire many later mathematicians to do great work. To a large extent, Birkhoff was writing about his own work on the subject, which was itself strongly influenced by Poincaré's approach to dynamical systems. With this book, Birkhoff also demonstrated that the subject was a beautiful theory, much more than a compendium of individual results. The influence of this work can be found in many fields, including differential equations, mathematical physics, and even what is now known as Morse theory. The present volume is the revised 1966 reprinting of the book, including a new addendum, some footnotes, references added by Jürgen Moser, and a special preface by Marston Morse. Although dynamical systems has thrived in the decades since Birkhoff's book was published, this treatise continues to offer insight and inspiration for still more generations of mathematicians. Readership Graduate students and research mathematicians interested in dynamical systems. Table of Contents  Physical aspects of dynamical systems
 Variational principles and applications
 Formal aspects of dynamics
 Stability of periodic motions
 Existence of periodic motions
 Application of Poincaré's geometric theorem
 General theory of dynamical systems
 The case of two degrees of freedom
 The problem of three bodies
 Addendum
 Footnotes
 Bibliography
 Index
