Analysis of Real & Complex Manifolds - Raghavan Narasimhan, R. Narasimhan, Narasimhan (1985)
ISBN 9780444877765
Subject Differentiable manifolds; Complex manifolds; Differential operators
Publisher North-Holland
Publication Date 1985
Format Hardcover (233 x 155 mm)
Language English
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 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.

Personal Details
Collection Status In Collection
Index 1490
Read It Yes
Links Powell's
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Product Details
LoC Classification QA614.3.N37 1985
Dewey 516.3/6
Cover Price $165.55
No. of Pages 264
Original Publication Year 1968
Includes index.