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A mathematical gift : the interplay between topology, functions, geometry, and algebra

Author: Kenji Ueno; Kōji Shiga; Shigeyuki Morita
Publisher: Providence, R.I. : American Mathematical Society, ©2003-<©2005>
Series: Mathematical world, v. 19-20, 23.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This is the first of three volumes originating from a series of lectures in mathematics for high school students, given by professors of Kyoto University in Japan. The main purpose of the lectures was the show students the beauty of mathematics using material that is accessible to people with little preliminary knowledge. A chapter on topology contains three lectures on the Euler characteristics, vortices created by  Read more...
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Document Type: Book
All Authors / Contributors: Kenji Ueno; Kōji Shiga; Shigeyuki Morita
ISBN: 0821832824 9780821832820 0821832832 9780821832837 0821832840 9780821832844
OCLC Number: 52980701
Notes: Vol. 3 by Koji Shiga, Toshikazu Sunada.
Description: volumes <1-3> : illustrations ; 26 cm.
Contents: The story of the birth of manifolds --
The story of area and volume from everyday notions to mathematical concepts.
Series Title: Mathematical world, v. 19-20, 23.
Other Titles: Kōkōsei ni okuru sūgaku.
Responsibility: Kenji Ueno, Koji Shiga, Shigeyuki Morita ; translated by Eiko Tyler.

Abstract:

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  Read more...

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