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Analysis on Real and Complex Manifolds

Name: Analysis on Real and Complex Manifolds
Brand: Elsevier Science & Technology
SKU: 04612532
Price: 27941 HUF
Availability: InStock
Author: R. Narasimhan
ISBN: 9780444877765

R. Narasimhan

Language

English

Book Hardback

Libristo code: 04612532

Publishers Elsevier Science & Technology

Chapter 1 presents theorems on differentiable functions often used in differential topology, such as... Full description

Libristo code: 04612532

186 b

27 941 Ft

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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 Poincare 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 inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.