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 three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.

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Text: English (translation)

Original Language: Japanese

The book ... remains an excellent introduction to foliation theory which leads very quickly to current areas of research. -- *Mathematical Reviews*

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American Mathematical Society, United States
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ISBN 10: 0821842005
ISBN 13: 9780821842003

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**Book Description **American Mathematical Society, United States, 2006. Paperback. Book Condition: New. Language: English . Brand New Book. 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 three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds. Bookseller Inventory # AAN9780821842003

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ISBN 10: 0821842005
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**Book Description **Book Condition: New. Bookseller Inventory # 15824327-n

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Published by
American Mathematical Society, United States
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ISBN 10: 0821842005
ISBN 13: 9780821842003

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**Book Description **American Mathematical Society, United States, 2006. Paperback. Book Condition: New. Language: English . Brand New Book. 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 three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds. Bookseller Inventory # AAN9780821842003

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Published by
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ISBN 13: 9780821842003

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**Book Description **American Mathematical Society, 2006. Paperback. Book Condition: New. book. Bookseller Inventory # M0821842005

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Published by
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**Book Description **American Mathematical Society, 2006. Paperback. Book Condition: New. Bookseller Inventory # DADAX0821842005

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**Book Description **Amer Mathematical Society, 2006. Paperback. Book Condition: Brand New. 193 pages. 9.90x6.90x0.50 inches. In Stock. Bookseller Inventory # __0821842005

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**Book Description **American Mathematical Society, 2006. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P110821842005

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