Analysis on real and complex manifolds /

Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theore...

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Bibliographic Details
Main Author: Narasimhan, Raghavan
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985, ©1968.
Series:North-Holland mathematical library ; v. 35.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalit.
Physical Description:1 online resource (xiv, 246 pages)
Bibliography:Includes bibliographical references (pages 242-244) and index.
ISBN:9780080960227
0080960227
128276991X
9781282769915