Functions of One Complex Variable II, John B. Conway
Автор: Conway Название: Functions of One Complex Variable I ISBN: 0387903283 ISBN-13(EAN): 9780387903286 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year`s course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis.
Автор: John B. Conway Название: Functions of One Complex Variable I ISBN: 0387942343 ISBN-13(EAN): 9780387942346 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year`s course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis.
Автор: John B. Conway Название: Functions of One Complex Variable II ISBN: 0387944605 ISBN-13(EAN): 9780387944609 Издательство: Springer Рейтинг: Цена: 6841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addresses many problems on the theory of functions of one complex variable. This book treats several topics in geometric function theory and potential theory in the plane, such as conformal equivalence for simply connected regions, de Branges` proof of the Bieberbach conjecture, Hardy spaces on the disk, and potential theory in the plane.
Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Автор: Raghavan Narasimhan; Yves Nievergelt Название: Complex Analysis in One Variable ISBN: 1461266475 ISBN-13(EAN): 9781461266471 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The original edition of this book has been out of print for some years. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included.
Описание: The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu- lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ- ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com- plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.
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