Classical Complex Analysis
Classical Complex Analysis

Author: I-Hsiung Lin

Publisher: World Scientific

Published: 2011

Total Pages: 1085

ISBN-13: 9814261238

DOWNLOAD EBOOK

Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.

Classical Complex Analysis
Classical Complex Analysis

Author: I-Hsiung Lin

Publisher: World Scientific

Published: 2011

Total Pages: 713

ISBN-13: 9814271284

DOWNLOAD EBOOK

Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.

Classical Complex Analysis
Classical Complex Analysis

Author: I-Hsiung Lin

Publisher: World Scientific

Published: 2011

Total Pages: 1085

ISBN-13: 981426122X

DOWNLOAD EBOOK

Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.

Classical Complex Analysis: A Geometric Approach (Volume 2)
Classical Complex Analysis: A Geometric Approach (Volume 2)

Author: I-hsiung Lin

Publisher: World Scientific Publishing Company

Published: 2010-09-09

Total Pages: 713

ISBN-13: 9813101075

DOWNLOAD EBOOK

Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 2 begins with analytic continuation. The Riemann mapping theorem is proved and used in solving Dirichlet's problem for an open disk and, hence, a class of general domains via Perron's method. Finally, proof of the uniformization theorem of Riemann surfaces is given.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.

Classical Complex Analysis
Classical Complex Analysis

Author: Liong-shin Hahn

Publisher: Jones & Bartlett Publishers

Published: 1996

Total Pages: 0

ISBN-13: 9780867204940

DOWNLOAD EBOOK

Classic Complex Analysis is a text that has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses on the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mobius transformations are presented with emphasis on the geometric aspect, and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Functions, Analytic Continuation, Normal Families, Conformal Mapping, and Harmonic Functions.

Visual Complex Analysis
Visual Complex Analysis

Author: Tristan Needham

Publisher: Oxford University Press

Published: 1997

Total Pages: 620

ISBN-13: 9780198534464

DOWNLOAD EBOOK

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Complex Analysis
Complex Analysis

Author: Steven G. Krantz

Publisher: Cambridge University Press

Published: 2004

Total Pages: 252

ISBN-13: 9780883850350

DOWNLOAD EBOOK

Advanced textbook on central topic of pure mathematics.

Visual Complex Functions
Visual Complex Functions

Author: Elias Wegert

Publisher: Springer Science & Business Media

Published: 2012-08-30

Total Pages: 374

ISBN-13: 3034801807

DOWNLOAD EBOOK

This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains. Reading Visual Complex Functions requires no prerequisites except some basic knowledge of real calculus and plane geometry. The text is self-contained and covers all the main topics usually treated in a first course on complex analysis. With separate chapters on various construction principles, conformal mappings and Riemann surfaces it goes somewhat beyond a standard programme and leads the reader to more advanced themes. In a second storyline, running parallel to the course outlined above, one learns how properties of complex functions are reflected in and can be read off from phase portraits. The book contains more than 200 of these pictorial representations which endow individual faces to analytic functions. Phase portraits enhance the intuitive understanding of concepts in complex analysis and are expected to be useful tools for anybody working with special functions – even experienced researchers may be inspired by the pictures to new and challenging questions. Visual Complex Functions may also serve as a companion to other texts or as a reference work for advanced readers who wish to know more about phase portraits.