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Basic Concepts of Synthetic Differential Geometry
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(Buch) |
Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!
Lieferstatus: |
i.d.R. innert 14-24 Tagen versandfertig |
Veröffentlichung: |
Februar 1996
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Genre: |
Schulbücher |
ISBN: |
9780792339410 |
EAN-Code:
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9780792339410 |
Verlag: |
Springer Us |
Einband: |
Gebunden |
Sprache: |
English
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Dimensionen: |
H 241 mm / B 160 mm / D 23 mm |
Gewicht: |
676 gr |
Seiten: |
340 |
Zus. Info: |
HC runder Rücken kaschiert |
Bewertung: |
Titel bewerten / Meinung schreiben
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Inhalt: |
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. |
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