Lecture Notes on Elementary Topology and Geometry (Undergraduate Texts in Mathematics)
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Lecture Notes on Elementary Topology and Geometry (Undergraduate Te...
Book Details:
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Publisher: Springer
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Author: I.M. Singer
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Language: English
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ISBN: 9781461573494
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Cover: Paperback
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Binding: Softcover reprint of the original 1st ed. 1967
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Edition: Illustrated
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Release Date: 11-07-2012
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Number of Pages: 232
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Package Dimensions: 9.3 x 6.1 x 0.6 inches
About The Book:
"I.M. Singer's work in Topology and Geometry offers a profound and unique perspective on the interconnections within mathematics. Originally published in 1967, this reprint edition makes the insightful work accessible once again to students and professionals.
Designed to break the traditional compartmentalization of mathematics, this text connects algebra, calculus, topology, and geometry, giving students an integrated understanding of the subject. The author presents advanced concepts like De Rham's theorem, the Gauss-Bonnet theorem for surfaces, and the fundamental group's connection to covering spaces. These are carefully explained with the help of essential point set topology and functional analysis concepts.
The book contains black & white illustrations and a bibliography, offering both visual aids and references to further explore the subject. The first chapters lay the groundwork, preparing the reader to appreciate the deeper links between topology, geometry, and group theory."
