{"product_id":"9781441947567","title":"Texts in the Mathematical Sciences","description":"\u003ch1\u003eTexts in the Mathematical Sciences\u003c\/h1\u003e \u003ch2\u003eLavendhomme, R.\u003c\/h2\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-11-19\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781441947567\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4757-4588-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 320\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":45987358277772,"sku":"9781441947567","price":215.1,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781441947567.jpg?v=1775735184","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781441947567","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}