Translations of Mathematical Monographs 1992; 193 pp; softcover Volume: 97 ISBN10: 0821842005 ISBN13: 9780821842003 List Price: US$80 Member Price: US$64 Order Code: MMONO/97.S
 This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the threesphere, local and global stability theorems for foliations, the existence of compact leaves on threespheres, and foliated cobordisms on threespheres. Also included is a short introduction to the theory of differentiable manifolds. Table of Contents  Nonsingular dynamical systems on the torus
 \(C^r\) manifolds and tangent spaces
 Dynamical systems and limit sets
 Foliations
 Stability theorems on foliations
 The existence of compact leaves
 Foliations and differential forms
 Cobordisms of foliations
 Appendices
 Translator's afterword
 Subject index
