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Analysis on Real and Complex Manifolds (Volume 35) (North-Holland Mathematical Library, Volume 35) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
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ANLYS REAL & COMPLEX MANIFOLDS 2E
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Analysis on Real and Complex Manifolds
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Analysis on Real and Complex Manifolds
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Analysis on Real and Complex Manifolds,: Volume 35 (North-Holland Mathematical Library)
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Analysis on Real and Complex Manifolds
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Analysis on Real and Complex Manifolds: Volume 35
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Elsevier Science & Technology, 1985
ISBN 10: 0444877762
ISBN 13: 9780444877765
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Analysis on Real and Complex Manifolds
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Analysis on Real and Complex Manifolds
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Elsevier Science & Technology, North Holland, 1985
ISBN 10: 0444877762
ISBN 13: 9780444877765
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. Englisch. Seller Inventory # 9780444877765
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Analysis on Real and Complex Manifolds
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