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Nine Introductions in Complex Analysis - Revised Edition, Volume 208 (North-Holland Mathematics Studies) [Hardcover]

Sanford L. Segal (Author)

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Book Description

ISBN-10: 0444518312 | ISBN-13: 978-0444518316 | Publication Date: October 24, 2007 | Edition: 1

The book addresses many topics not usually in "second course in complex analysis" texts. It also contains multiple proofs of several central results, and it has a minor historical perspective.

- Proof of Bieberbach conjecture (after DeBranges)
- Material on asymptotic values
- Material on Natural Boundaries
- First four chapters are comprehensive introduction to entire and metomorphic functions
- First chapter (Riemann Mapping Theorem) takes up where "first courses" usually leave off

#outer_postBodyPS { display: none; } #psGradient { display: none; } #psPlaceHolder { display: none; } #psExpand { display: none; } The book addresses many topics not usually in "second course in complex analysis" texts. It also contains multiple proofs of several central results, and it has a minor historical perspective.

- Proof of Bieberbach conjecture (after DeBranges)
- Material on asymptotic values
- Material on Natural Boundaries
- First four chapters are comprehensive introduction to entire and metomorphic functions
- First chapter (Riemann Mapping Theorem) takes up where "first courses" usually leave off

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Product Details

Hardcover: 500 pages
Publisher: Elsevier Science; 1 edition (October 24, 2007)
Language: English
ISBN-10: 0444518312
ISBN-13: 978-0444518316
Product Dimensions: 9.4 x 6.5 x 1.1 inches
Shipping Weight: 2.4 pounds (View shipping rates and policies)
Amazon Best Sellers Rank: #3,569,522 in Books (See Top 100 in Books)

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Front Cover | Table of Contents | First Pages | Index | Surprise Me!

Inside This Book (learn more)

Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
theta functions, dirichlet series, integral functions, algebraic addition theorem, finite positive order, mapping radius, transcendental singularities, fundamental parallelogram, isolated essential singularity, finite asymptotic values, maximum modulus theorem, transcendental entire function, period parallelogram, asymptotic paths, distortion theorems, finite determination, simple pole with residue, deleted neighborhood, elliptic modular function, elliptic functions, univalent functions, canonical product, functions meromorphic, prime number theory, meromorphic functions

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Nevanlinna's Second Fundamental Theorem, Natural Boundaries, The Fabry Gap Theorem, The Functional Equation, Riemann Zeta-function, Julia's Theorem, Some Coefficient Theorems, Liouville's Theorem, Picard's Little Theorem, Some Applications, The Denjoy-Carleman-Ahlfors Theorem, Picard's Theorems, Elementary Properties, Stirling's Formula, Landau's Theorem, The Phragm�n-Lindel�f Indicator, The P�lya-Carlson Theorem, Schottky's Theorem, Bieberbach's Analytische Fortsetzung, Casorati-Weierstrass Theorem, Bieberbach Conjecture, The Hadamard Multiplication Theorem, Wigert's Theorem, Fabry's Theorem, Jensen's Theorem

Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!

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