Differential Analysis on Complex Manifolds - Hardcover

Wells, R. O.

Hardcover

ISBN 10: 3540904190 ISBN 13: 9783540904199

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1980

Synopsis

This is a student supplement to accompany:

 

Pharmacology for Nurses: A Pathophysiologic Approach, 3/e
Michael P. Adams, Pasco-Hernando Community College
Leland N. Holland Ph.D., Hillsborough Community College Ruskin, Florida

ISBN: 0135089816

About this title

Review

From the reviews of the third edition: "This is the third edition of a well-known book first published in 1973, with a second edition in 1980. ... It is good to see it back 28 years later. ... For someone learning the material for the first time (or for a professor planning a series of lectures), having such a goal in mind often serves as motivation and gives coherence to the material." (Fernando Q. Gouvea, MathDL, March, 2008) "The purpose of the text is to present the basics of analysis and geometry on compact complex manifolds and is already one of the standard sources for this material. ... The book has proven to be an excellent introduction to the theory of complex manifolds considered from both the points of view of complex analysis and differential geometry." (Vasile Oproiu, Zentralblatt MATH, Vol. 1131, 2008)

From the Back Cover

In 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. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..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." - Nigel Hitchin, Bulletin of the London Mathematical Society "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." - Daniel M. Burns, Jr., Mathematical Reviews

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1980
• Language: English
• ISBN 10: 3540904190
• ISBN 13: 9783540904199
• Binding: Hardcover
• Edition number: 2