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Complex Analysis

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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 350/5 ( reviews)

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Book Synopsis Complex Analysis by : Steven G. Krantz

Download or read book Complex Analysis written by Steven G. Krantz. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Advanced textbook on central topic of pure mathematics.

Function Theory of Several Complex Variables

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Release : 2001
Genre : Mathematics
Kind : eBook
Book Rating : 243/5 ( reviews)

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Book Synopsis Function Theory of Several Complex Variables by : Steven George Krantz

Download or read book Function Theory of Several Complex Variables written by Steven George Krantz. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.

Complex Analysis and CR Geometry

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Author :
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 423/5 ( reviews)

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Book Synopsis Complex Analysis and CR Geometry by : Giuseppe Zampieri

Download or read book Complex Analysis and CR Geometry written by Giuseppe Zampieri. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. Compared to the early days when the purpose of CR geometry was to supply tools for the analysis of the existence and regularity of solutions to the $\bar\partial$-Neumann problem, it has rapidly acquired a life of its own and has became an important topic in differential geometry and the study of non-linear partial differential equations. A full understanding of modern CR geometryrequires knowledge of various topics such as real/complex differential and symplectic geometry, foliation theory, the geometric theory of PDE's, and microlocal analysis. Nowadays, the subject of CR geometry is very rich in results, and the amount of material required to reach competence is daunting tograduate students who wish to learn it.

An Introduction to Complex Analysis and Geometry

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Author :
Release : 2010
Genre : Functions of complex variables
Kind : eBook
Book Rating : 744/5 ( reviews)

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Book Synopsis An Introduction to Complex Analysis and Geometry by : John P. D'Angelo

Download or read book An Introduction to Complex Analysis and Geometry written by John P. D'Angelo. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.

Visual Complex Analysis

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Author :
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 464/5 ( reviews)

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Book Synopsis Visual Complex Analysis by : Tristan Needham

Download or read book Visual Complex Analysis written by Tristan Needham. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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