A Mathematical Gift, III: The Interplay Between Topology, Functions, Geometry, and Algebra (Mathematical World) (v. 3)

This book brings 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 talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding t...

By Toshikazu Sunada Koju Shiga
Series: Mathematical World
Paperback: 129 pages
Publisher: American Mathematical Society (July 21, 2005)
Language: English
ISBN-10: 0821832840
ISBN-13: 978-0821832844
Product Dimensions: 6.8 x 0.2 x 10 inches
Amazon Rank: 3825685
Format: PDF ePub djvu book

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I'm a masters student who recently completed an introductory course in differential geometry, and another in algebraic topology. I enjoyed the courses and did well, but if I'd read this book beforehand, the going would've been even better.The authors

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