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A Mathematical Gift: The Interplay Between Topology, Functions, Geometry, and Algebra: v. 1 (Mathematical World)
Kenji Ueno
€ 79.76
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Description for A Mathematical Gift: The Interplay Between Topology, Functions, Geometry, and Algebra: v. 1 (Mathematical World)
paperback. Discusses the Poincare-Hopf theorem on critical points of vector fields on surfaces and the Gauss-Bonnet theorem on the relation between curvature and topology (the Euler characteristic). This book addresses various aspects of the concept of dimension, including the Peano curve and the Poincare approach. Series: Mathematical World. Num Pages: 136 pages, Illustrations. BIC Classification: PB. Category: (P) Professional & Vocational. Dimension: 252 x 176 x 9. Weight in Grams: 278.
This book will bring the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the Poincare-Hopf theorem on critical points of vector fields on surfaces and the Gauss-Bonnet theorem on the relation between curvature and topology (the Euler characteristic).The second chapter addresses various aspects of the concept of dimension, including the Peano curve and the Poincare approach. Also addressed is the structure of three-dimensional manifolds. In ... Read more
This book will bring the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the Poincare-Hopf theorem on critical points of vector fields on surfaces and the Gauss-Bonnet theorem on the relation between curvature and topology (the Euler characteristic).The second chapter addresses various aspects of the concept of dimension, including the Peano curve and the Poincare approach. Also addressed is the structure of three-dimensional manifolds. In ... Read more
Product Details
Format
Paperback
Publication date
2004
Publisher
American Mathematical Society United States
Number of pages
136
Condition
New
Series
Mathematical World
Place of Publication
Providence, United States
ISBN
9780821832820
SKU
V9780821832820
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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