{"product_id":"9789819792016","title":"Infosys Science Foundation Series: Manifolds, Bundles and Characteristic Classes (Book I-A)","description":"\u003ch1\u003eInfosys Science Foundation Series: Manifolds, Bundles and Characteristic Classes (Book I-A)\u003c\/h1\u003e \u003ch2\u003eBarletta, Elisabetta; Dragomir, Sorin; Shahid, Mohammad Hasan; Al-Solamy, Falleh R.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book, \u003cem\u003eDifferential Geometry: Manifolds, Bundles and Characteristic Classes\u003c\/em\u003e \u003cem\u003e(Book I-A)\u003c\/em\u003e, is the first in a captivating series of four books presenting a choice of topics, among fundamental and more advanced, in differential geometry (DG), such as manifolds and tensor calculus, differentiable actions and principal bundles, parallel displacement and exponential mappings, holonomy, complex line bundles and characteristic classes. The inclusion of an appendix on a few elements of algebraic topology provides a didactical guide towards the more advanced Algebraic Topology literature. The subsequent three books of the series are:\u003c\/p\u003e\n\n\u003cp\u003e\u003cem\u003eDifferential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B) \u003c\/em\u003e\u003c\/p\u003e\n\n\u003cp\u003e\u003cem\u003eDifferential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry (Book I-C)\u003c\/em\u003e\u003c\/p\u003e\n\n\u003cp\u003e\u003cem\u003eDifferential Geometry: Advanced Topics in Cauchy–Riemann and Pseudohermitian Geometry (Book I-D)\u003c\/em\u003e\u003c\/p\u003e\n\n\u003cp\u003eThe four books belong to an ampler book project \u003cem\u003e(Differential Geometry, Partial Differential Equations, and Mathematical Physics,\u003c\/em\u003e by the same authors) and aim to demonstrate how certain portions of DG and the theory of partial differential equations apply to general relativity and (quantum) gravity theory. These books supply some of the ad hoc DG machinery yet do not constitute a comprehensive treatise on DG, but rather Authors’ choice based on their scientific (mathematical and physical) interests. These are centered around the theory of immersions - isometric, holomorphic, and Cauchy-Riemann (CR) -and pseudohermitian geometry, as devised by Sidney Martin Webster for the study of nondegenerate CR structures, themselves a DG manifestation of the tangential CR equations.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-02-07\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9789819792016\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-981-97-9202-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 572\u003c\/p\u003e ","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":45228189941900,"sku":"9789819792016","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789819792016_065a992a-6281-4ef8-9332-1e5aa4931370.jpg?v=1772930428","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789819792016","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}