Graduate Texts in Mathematics

Differential Analysis on Complex Manifolds

Authors: Wells, Raymond O.

  • Presents a concise introduction to the basics of analysis and geometry on compact complex manifolds
  • Provides tools which are the building blocks of many mathematical developments over the past 30 years
  • The new edition contains a 40 page appendix which updates the text for the modern reader
  • Includes exercises and examples which are ideal for use in a classroom setting
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eBook $49.99
price for USA (gross)
  • ISBN 978-0-387-73892-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $64.95
price for USA
  • ISBN 978-0-387-73891-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $64.95
price for USA
  • ISBN 978-1-4419-2535-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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

Reviews

From the reviews of the third edition:

“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.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, May, 2014)

"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)


Table of contents (6 chapters)

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-0-387-73892-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $64.95
price for USA
  • ISBN 978-0-387-73891-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $64.95
price for USA
  • ISBN 978-1-4419-2535-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differential Analysis on Complex Manifolds
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
65
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-73892-5
DOI
10.1007/978-0-387-73892-5
Hardcover ISBN
978-0-387-73891-8
Softcover ISBN
978-1-4419-2535-0
Series ISSN
0072-5285
Edition Number
3
Number of Pages
XIII, 299
Topics