Analysis on Real and Complex Manifolds (North-Holland Mathematical Library)

Analysis on Real and Complex Manifolds (North-Holland Mathematical Library) pdf epub mobi txt 电子书 下载 2025

出版者:North Holland
作者:R. Narasimhan
出品人:
页数:264
译者:
出版时间:1985-12-01
价格:USD 165.00
装帧:Hardcover
isbn号码:9780444877765
丛书系列:North-Holland Mathematical Library
图书标签:
  • 数学 
  • 复分析7 
  • global-analysis 
  • differential-topology 
  • differential-manifold 
  •  
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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.

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