A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included. Setting it apart from others, the book makes many statements and proofs of classical theorems in complex analysis simpler, shorter and more elegant: for example, the Mittag Leffer theorem is proved using the Bar {Partial}-equation, and the Picard theorem is proved using the methods of differential geometry.
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holomorphic automorphisms, exterior differential form, profound theorem, fundamental parallelogram, holomorphic part, spherical distance, holomorphic function, complex number field, prime number theorem, removable singularity, essential singularity, unit disc, morphic functions, entire function, meromorphic function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Schwarz Lemma, Riemann Mapping Theorem, Great Picard Theorem, Montel Theorem, Little Picard Theorem, Maximum Modulus Principle, Proof Let, Hartogs Theorem, Proof Suppose, Schwarz-Pick Lemma, Weierstrass Factorization Theorem, Ascoli-Arzela Theorem, Cartan Theorem, Proof Choose, Rouché Theorem, Weierstrass M-test, Bloch Theorem, Morera Theorem, Pompeiu Formula New!
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holomorphic automorphisms, exterior differential form, profound theorem, fundamental parallelogram, holomorphic part, spherical distance, holomorphic function, complex number field, prime number theorem, removable singularity, essential singularity, unit disc, morphic functions, entire function, meromorphic function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Schwarz Lemma, Riemann Mapping Theorem, Great Picard Theorem, Montel Theorem, Little Picard Theorem, Maximum Modulus Principle, Proof Let, Hartogs Theorem, Proof Suppose, Schwarz-Pick Lemma, Weierstrass Factorization Theorem, Ascoli-Arzela Theorem, Cartan Theorem, Proof Choose, Rouché Theorem, Weierstrass M-test, Bloch Theorem, Morera Theorem, Pompeiu Formula New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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