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Basic Concepts of Synthetic Differential Geometry (Paperback, Softcover reprint of hardcover 1st ed. 1996) Loot Price: R5,591
Discovery Miles 55 910
Basic Concepts of Synthetic Differential Geometry (Paperback, Softcover reprint of hardcover 1st ed. 1996): R. Lavendhomme

Basic Concepts of Synthetic Differential Geometry (Paperback, Softcover reprint of hardcover 1st ed. 1996)

R. Lavendhomme

Series: Texts in the Mathematical Sciences, 13

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Loot Price R5,591 Discovery Miles 55 910 | Repayment Terms: R524 pm x 12*

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Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Texts in the Mathematical Sciences, 13
Release date: November 2010
First published: 1996
Authors: R. Lavendhomme
Dimensions: 235 x 155 x 17mm (L x W x T)
Format: Paperback
Pages: 320
Edition: Softcover reprint of hardcover 1st ed. 1996
ISBN-13: 978-1-4419-4756-7
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > General
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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LSN: 1-4419-4756-6
Barcode: 9781441947567

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