Analysis on Real and Complex Manifolds is popular PDF and ePub book, written by R. Narasimhan in 1985-12-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Analysis on Real and Complex Manifolds can be Read Online from any device for your convenience.
Analysis on Real and Complex Manifolds Book PDF 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 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.
Detail Book of Analysis on Real and Complex Manifolds PDF
- Author : R. Narasimhan
- Release : 01 December 1985
- Publisher : Elsevier
- ISBN : 9780080960227
- Genre : Mathematics
- Total Page : 263 pages
- Language : English
- PDF File Size : 19,5 Mb
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