Analysis on Real and Complex Manifolds (North-Holland Mathematical Library) 在線電子書 圖書標籤: 數學 復分析7 global-analysis differential-topology differential-manifold
發表於2024-11-24
Analysis on Real and Complex Manifolds (North-Holland Mathematical Library) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
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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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Analysis on Real and Complex Manifolds (North-Holland Mathematical Library) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024