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- About this Textbook
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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development ofnewcourses is a natural consequence of a high levelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied mathe matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface In Egypt, geometry was created to measure the land. Similar motivations, on a somewhat larger scale, led Gauss to the intrinsic differential geometry of surfaces in space. Newton created the calculus to study the motion of physical objects (apples, planets, etc.) and Poincare was similarly impelled toward his deep and far-reaching topological view of dynamical systems.
- Table of contents (6 chapters)
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Physical and Geometrical Motivation
Pages 1-26
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Topological Spaces
Pages 27-100
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Homotopy Groups
Pages 101-164
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Principal Bundles
Pages 165-184
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Differentiable Manifolds and Matrix Lie Groups
Pages 185-290
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Topology, Geometry, and Gauge Fields
- Book Subtitle
- Foundations
- Authors
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- Gregory Naber
- Series Title
- Texts in Applied Mathematics
- Series Volume
- 25
- Copyright
- 1997
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4757-2742-5
- DOI
- 10.1007/978-1-4757-2742-5
- Series ISSN
- 0939-2475
- Edition Number
- 1
- Number of Pages
- XVIII, 396
- Number of Illustrations
- 14 b/w illustrations
- Topics
