{"product_id":"cohomology-and-differential-forms-dover-books-on-mathematics","title":"Cohomology and Differential Forms (Dover Books on Mathematics)","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eBiographical Note\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tIzu Vaisman is Professor Emeritus of Mathematics at the University of Haifa. His research areas are differential geometry and symplectic manifolds, and his other books include \n\u003ci\u003eAnalytical Geometry, Foundations of Three Dimensional Euclidean Geometry, \u003c\/i\u003e and \n\u003ci\u003eA First Course in Differential Geometry.\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBrief Description\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\t\"Translation editor: Samuel I. Goldberg, University of Illinois at Urbana-Champaigne, Urbana, Illinois\"--Galley t.p. verso.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBrief Description\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\t\"Cohomology \u0026amp; differential forms\"--Cover.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eJacket Description\/Back\u003c\/strong\u003e:\u003cbr\u003e\n\u003c\/p\u003e\n\u003cp\u003eThis monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romania's University of Iasi, the treatment is suitable for advanced undergraduates and graduate students of mathematics as well as mathematical researchers in differential geometry, global analysis, and topology.\u003cbr\u003eA self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.\u003cbr\u003eDover (2016) republication with minor corrections of the edition originally published by Marcel Dekker, Inc., New York, 1973. \u003cbr\u003e\u003cb\u003ewww.doverpublications.com\u003c\/b\u003e\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tPreface1. Categories and Functors2. Sheaves and Cohomology3. Fiber and Vector Bundles4. Differential Geometry5. Cohomology Classes and Differential FormsReferencesIndex\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tThis monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romania's University of Iasi, the treatment is suitable for advanced undergraduates and graduate students of mathematics as well as mathematical researchers in differential geometry, global analysis, and topology. \n\u003cbr\u003eA self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.\u003cbr\u003e\u003cbr\u003e\n\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46581128429699,"sku":"SPTM-9780486804835","price":19.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486804835_spiral_744d7847-1fa6-4257-971d-36e3eb87ff0d.png?v=1770802667","url":"https:\/\/sebink.com\/products\/cohomology-and-differential-forms-dover-books-on-mathematics","provider":"Sebink","version":"1.0","type":"link"}