A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. 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. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.

Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, 65)

Science & Math

Wells, Raymond O.

Mathematics

Springer

A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. This comprehensive, well-organized treatment is a concise introduction to the basics of analysis and geometry on compact complex manifolds.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century. Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash. Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.

Differential and Complex Geometry: Origins, Abstractions and Embeddings

See the best price to sell, buy, or rent books by Wells, Raymond O.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Wells, Raymond O.

See the best price to sell, buy, or rent books by Wells, Raymond O.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, 65)

Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, 65)

Differential and Complex Geometry: Origins, Abstractions and Embeddings