Complex Analysis The Geometric Viewpoint Second Edition
DOWNLOAD eBooks
Download Complex Analysis The Geometric Viewpoint Second Edition PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Complex Analysis The Geometric Viewpoint Second Edition book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Complex Analysis The Geometric Viewpoint Second Edition
DOWNLOAD eBooks
Author : Steven G. Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2004-12-31
Complex Analysis The Geometric Viewpoint Second Edition written by Steven G. Krantz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-31 with Mathematics categories.
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 1994! In this second edition of a Carus Monograph Classic, Steven Krantz develops material on classical non-Euclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disc. He also introduces the Bergman kernel and metric and provides profound applications, some of them never having appeared before in print. In general, the new edition represents a considerable polishing and re-thinking of the original successful volume. This is the first and only book to describe the context, the background, the details, and the applications of Ahlfors's celebrated ideas about curvature, the Schwarz lemma, and applications in complex analysis. Beginning from scratch, and requiring only a minimal background in complex variable theory, this book takes the reader up to ideas that are currently active areas of study. Such areas include a) the Caratheodory and Kobayashi metrics, b) the Bergman kernel and metric, and c) boundary continuation of conformal maps. There is also an introduction to the theory of several complex variables. Poincaré's celebrated theorem about the biholomorphic inequivalence of the ball and polydisc is discussed and proved.
Complex Analysis
DOWNLOAD eBooks
Author :
language : en
Publisher:
Release Date : 2004
Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Functions of complex variables categories.
Complex Analysis
DOWNLOAD eBooks
Author : Steven G. Krantz
language : en
Publisher: MAA Press
Release Date : 2004
Complex Analysis written by Steven G. Krantz and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Functions of complex variables categories.
Complex Functions
DOWNLOAD eBooks
Author : Gareth A. Jones
language : en
Publisher: Cambridge University Press
Release Date : 1987-03-19
Complex Functions written by Gareth A. Jones and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-03-19 with Mathematics categories.
An elementary account of many aspects of classical complex function theory, including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. The book is based on lectures given to advanced undergraduate students and is well suited as a textbook for a second course in complex function theory.
Complex Analysis
DOWNLOAD eBooks
Author : Steven G. Krantz
language : en
Publisher: Cambridge University Press
Release Date : 2004
Complex Analysis written by Steven G. Krantz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Advanced textbook on central topic of pure mathematics.
Handbook Of Complex Analysis
DOWNLOAD eBooks
Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2022-03-07
Handbook Of Complex Analysis written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-07 with Mathematics categories.
In spite of being nearly 500 years old, the subject of complex analysis is still today a vital and active part of mathematics. There are important applications in physics, engineering, and other aspects of technology. This Handbook presents contributed chapters by prominent mathematicians, including the new generation of researchers. More than a compilation of recent results, this book offers students an essential stepping-stone to gain an entry into the research life of complex analysis. Classes and seminars play a role in this process. More, though, is needed for further study. This Handbook will play that role. This book is also a reference and a source of inspiration for more seasoned mathematicians—both specialists in complex analysis and others who want to acquaint themselves with current modes of thought. The chapters in this volume are authored by leading experts and gifted expositors. They are carefully crafted presentations of diverse aspects of the field, formulated for a broad and diverse audience. This volume is a touchstone for current ideas in the broadly construed subject area of complex analysis. It should enrich the literature and point in some new directions.
A Course In Complex Analysis And Riemann Surfaces
DOWNLOAD eBooks
Author : Wilhelm Schlag
language : en
Publisher: American Mathematical Society
Release Date : 2014-08-06
A Course In Complex Analysis And Riemann Surfaces written by Wilhelm Schlag and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-06 with Mathematics categories.
Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces. The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor. From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: the Hodge decomposition theorem, the Riemann-Roch theorem, and the uniformization theorem. These chapters present the core technical apparatus of Riemann surface theory at this level. This text is intended as a detailed, yet fast-paced intermediate introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics, including geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. More than seventy figures serve to illustrate concepts and ideas, and the many problems at the end of each chapter give the reader ample opportunity for practice and independent study.
All The Math You Missed
DOWNLOAD eBooks
Author : Thomas A. Garrity
language : en
Publisher: Cambridge University Press
Release Date : 2021-07
All The Math You Missed written by Thomas A. Garrity and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07 with Business & Economics categories.
Fill in any gaps in your knowledge with this overview of key topics in undergraduate mathematics, now with four new chapters.
Hyperbolic Manifolds And Holomorphic Mappings
DOWNLOAD eBooks
Author : Shoshichi Kobayashi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-11-02
Hyperbolic Manifolds And Holomorphic Mappings written by Shoshichi Kobayashi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-02 with Mathematics categories.
The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections “invariant metrics and pseudo-distances” and “hyperbolic complex manifolds” within the section “holomorphic mappings”. The invariant distance introduced in the first edition is now called the “Kobayashi distance”, and the hyperbolicity in the sense of this book is called the “Kobayashi hyperbolicity” to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.
All The Mathematics You Missed
DOWNLOAD eBooks
Author : Thomas A. Garrity
language : en
Publisher: Cambridge University Press
Release Date : 2001-11-12
All The Mathematics You Missed written by Thomas A. Garrity and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-12 with Mathematics categories.
Beginning graduate students in mathematics and other quantitative subjects are expected to have a daunting breadth of mathematical knowledge. But few have such a background. This book will help students to see the broad outline of mathematics and to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, probability, complex analysis, abstract algebra, and more. An annotated bibliography then offers a guide to further reading and to more rigorous foundations. This book will be an essential resource for advanced undergraduate and beginning graduate students in mathematics, the physical sciences, engineering, computer science, statistics, and economics who need to quickly learn some serious mathematics.