{"product_id":"9780792350064","title":"Mathematics and Its Applications: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications","description":"\u003ch1\u003eMathematics and Its Applications: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications\u003c\/h1\u003e \u003ch2\u003eMallios, Anastasios\u003c\/h2\u003e \u003cp\u003eThis two-volume monograph obtains fundamental notions and  results of the standard differential geometry of smooth  (C\u003csup\u003eINFINITY\u003c\/sup\u003e) manifolds, without using differential  calculus. Here, the sheaf-theoretic character is emphasised. This has  theoretical advantages such as greater perspective, clarity and  unification, but also practical benefits ranging from elementary  particle physics, via gauge theories and theoretical cosmology  (`differential spaces'), to non-linear PDEs (generalised functions).  Thus, more general applications, which are no longer `smooth' in the  classical sense, can be coped with. The treatise might also be  construed as a new systematic endeavour to confront the  ever-increasing notion that the `world around us is far from being  smooth enough'. \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e This work is intended for postgraduate students and  researchers whose work involves differential geometry, global  analysis, analysis on manifolds, algebraic topology, sheaf theory,  cohomology, functional analysis or abstract harmonic analysis.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1998-04-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792350064\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-011-5006-4\u003c\/p\u003e \u003cp\u003eDimensions: 244cm x170cm\u003c\/p\u003e \u003cp\u003ePages: 438\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46539684053132,"sku":"9780792350064","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792350064.jpg?v=1775678865","url":"https:\/\/lateknightbooks.com\/products\/9780792350064","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}