{"product_id":"basic-concepts-of-synthetic-differential-geometry-9781441947567","title":"Basic Concepts of Synthetic Differential Geometry","description":"\u003cp\u003e • Author(s): R. Lavendhomme\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Geometry - Differential\u003c\/p\u003e\u003cp\u003eStarting 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. \u003cbr\u003e \u003cem\u003eAudience: \u003c\/em\u003e The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282894643351,"sku":"9781441947567","price":14553.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781441947567.webp?v=1769303491","url":"https:\/\/atlanticbooks.com\/products\/basic-concepts-of-synthetic-differential-geometry-9781441947567","provider":"Atlantic Books","version":"1.0","type":"link"}