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Basic Concepts of Synthetic Differential Geometry - Texts in the Mathematical Sciences 13 (Hardback)
  • Basic Concepts of Synthetic Differential Geometry - Texts in the Mathematical Sciences 13 (Hardback)
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Basic Concepts of Synthetic Differential Geometry - Texts in the Mathematical Sciences 13 (Hardback)

(author)
£199.99
Hardback 320 Pages / Published: 29/02/1996
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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.

Publisher: Springer
ISBN: 9780792339410
Number of pages: 320
Weight: 1440 g
Dimensions: 234 x 156 x 20 mm
Edition: 1996 ed.

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