{"product_id":"9781441925350","title":"Differential Analysis on Complex Manifolds","description":"\u003cp\u003eIn developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. \u003c\/p\u003e\u003cp\u003eThe third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of the developments in the field during the decades since the book appeared.\u003c\/p\u003e\u003cp\u003eFrom a review of the 2nd Edition:\u003c\/p\u003e\u003cp\u003e\"..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work.\"\u003c\/p\u003e\u003cp\u003e- Nigel Hitchin, Bulletin of the London Mathematical Society\u003c\/p\u003e\u003cp\u003e\"Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material.\"\u003c\/p\u003e","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47043184722160,"sku":"9781441925350","price":64.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781441925350_p0.jpg?v=1763797745","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781441925350","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}