Items related to Complex Analysis
Synopsis
As an introduction to Complex Analysis at the undergraduate and postgraduate levels, this new edition features an integrated approach to various areas; the concept of differentiation for complex valued functions of a complex variable, unified Cauchy Riemann equations, a detailed discussion on the construction of Riemann surfaces for elementary functions leading to its abstract concept, step-by-step development of the most general form of Cauchy's theorem, the complex version of the real intermediate value theorem, exhaustive treatment of contour integration and an introduction to the theory of univalent functions on the unit disc. Karunakaran's contributions also include a brief history of the Bieberbach's conjecture and its solution and a complete section on Analytic automorphisms on plane domains, exclusive to the Second Edition.
Table of Contents
• Preface to the Second Edition
•
• Preface to the First Edition
• A Bird's eye view of the complex plane
• Elementary Properties of Analytic Functions
• Conformal Mappings
• Complex Integral Calculus
• Riemann Mapping Theorem
• Solved Exercises
• Index.
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About the Author
V. Karunakaran.: School of Mathematics, Madurai Kamaraj University
Review
V. Karunakaran presents a distinctive introduction to the theory of a single complex variable in the second edition of Complex Analysis. The book has many noteworthy features. It contains, for example, a thorough list of alternate forms of the Cauchy-Riemann equations. Many readers will enjoy the rigorous treatment of Cauchy’s Theorem and Cauchy’s Integral Formula. ... The author clearly makes a consistent effort to highlight the topological aspects of introductory complex analysis as it flows through many of the topics listed above and continues on to the Riemann Mapping Theorem. ... a solid introduction to graduate complex analysis. Its treatment of topology will tie in nicely with other introductory courses. Proofs are complete and many difficult exercises are posed and fully solved. Anyone planning to teach a course in complex analysis should consider listing it as a reference.
―Dov Chelst, MAA Reviews, December 2011
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Complex Analysis
Published by
Alpha Science International, Ltd, 2005
ISBN 10: 1842651714
ISBN 13: 9781842651711
Used
Hardcover
Seller: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less 1.82. Seller Inventory # G1842651714I5N00
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COMPLEX ANALYSIS *
Published by
ALPHA SCIENCE INTERNATIONAL Ltd., HARROW, U.K. * * * * *, 2006
ISBN 10: 1842651714
ISBN 13: 9781842651711
Used
Hardcover
Seller: L. Michael, North Hollywood, CA, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Fine. Dust Jacket Condition: Near Fine. ALPHA SCIENCE INTERNATIONAL Ltd. B00K: Near Fine/, 2006 (illustrator). 2nd Edition. B00K: Near Fine/, $97.86 1842651714 COMPLEX ANALYSIS * KARUNAKARAN, V. ALPHA SCIENCE INTERNATIONAL Ltd. HARROW, U.K. * * * * * 2006 2nD Edition, 2nD Printing D/j + H/c Two Tone Brown Spine With Title In Red And Black Letters, Dust Jacket: Near Fine/, Slight Shelf, Edge And Corner Wear. Hard Cover B00K: Near Fine/, Slight Shelf, Edge And Corner Wear. 427 Numbered Pages Printed On 0ff~White Paper, Appear To Be Lightly Viewed, Clean And Tight To The Spine, In Fine/ Condition. Corners Are Lightly Bumped. Brown Coffee Run Mark On Long Edges On Pages, At Widest Point, ¼ Inch. Storage Shelf Lean, Where The Top Rear Cover Is Higher Than The Front Corner, Due To UnEven Storage. Spine Is Not Loose. = No Odors, No Writing, No Names, No Rippling, Not Stuck Together, No Book Plate, Not X~Library, No Remainder Or Other Marks. Description Applies To This B00K, Only. = This B00K Is Hard To Find, Will Be Packaged And Shipped = Carefully, To Avoid Shipping Damage And Will Make It, An Excellent Addition To Your Own Personal Library Collection, Or As A Gift, For The Discriminating Reader / Collector. = WORLD WIDE SHIPPING, AVAILABLE *. Seller Inventory # 015325
Quantity: 1 available