Complex Manifolds without Potential Theory: with an appendix on the geometry of characteristic classes (Universitext) 2nd Edition by Shiing-shen Chern (PDF)

Description

From the reviews of the second edition: “The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern’s works. The present book is a second edition… It can serve as an introduction to, and a survey of, this theory and is based on the author’s lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress….The text is illustrated by many examples… The book is warmly recommended to everyone interested in complex differential geometry.” #Acta Scientiarum Mathematicarum, 41, 3-4#

User’s Reviews

Editorial Reviews: Review From the reviews of the second edition: “The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern’s works. The present book is a second edition… It can serve as an introduction to, and a survey of, this theory and is based on the author’s lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress…. The text is illustrated by many examples… The book is warmly recommended to everyone interested in complex differential geometry.” #Acta Scientiarum Mathematicarum, 41, 3-4#

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Simply a masterpiece. This classic book remains one of the best rapid introductions to complex manifolds, emphasising the link between local and global throughout (a trend that S-S. Chern was famous for), while being detailed enough that a sufficiently motivated maths or physics undergraduate/postgraduate can easily work through almost all calculations, quickly pick up the central concepts and apply them as necessary to their own research (should this be desirable). I cannot recommend this book strongly enough to anyone interested in this beautiful and subject area.

⭐

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