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Analysis on real and complex manifolds

Author: Raghavan Narasimhan
Publisher: Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985, ©1968.
Series: North-Holland mathematical library, v. 35.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Narasimhan, Raghavan.
Analysis on real and complex manifolds.
Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985, ©1968
(DLC) 85010155
(OCoLC)12049887
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Raghavan Narasimhan
ISBN: 9780080960227 0080960227 128276991X 9781282769915
OCLC Number: 671655810
Description: 1 online resource (xiv, 246 pages).
Contents: Front Cover; Analysis on Real and Complex Manifolds; Copyright Page; Preface; Preface to the third printing; Contents; Chapter 1 Differentiable functions in Rn; Chapter 2 Manifolds; Chapter 3 Linear elliptic differential operators; References; Subject index.
Series Title: North-Holland mathematical library, v. 35.
Responsibility: R. Narasimhan.

Abstract:

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.

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