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Analytic Theory and Applications: Encyclopedia of Mathematics and Its Applications

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Published in Continued Fractions: Analytic Theory And Applications (Encyclopedia Of Mathematics And Its Applications 11)

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The Analytic Theory and Applications Encyclopedia of Mathematics and Its Applications is a comprehensive and authoritative reference work that provides a detailed and up-to-date account of the analytic theory of functions of one and several complex variables. The encyclopedia is divided into four volumes, each of which covers a different aspect of the theory.

Continued Fractions: Analytic Theory and Applications (Encyclopedia of Mathematics and its Applications 11)

Continued Fractions: Analytic Theory and Applications (Encyclopedia of Mathematics and its Applications Book 11)

by William B. Jones

5 out of 5

Language	:	English
File size	:	22917 KB
Print length	:	460 pages
Screen Reader	:	Supported
X-Ray for textbooks	:	Enabled

Volume 1 covers the basic theory of functions of one complex variable, including topics such as complex numbers, analytic functions, the Cauchy-Riemann equations, and the Riemann mapping theorem. Volume 2 covers the theory of functions of several complex variables, including topics such as holomorphic functions, harmonic functions, and the Levi-Civita theorem. Volume 3 covers the theory of meromorphic functions, including topics such as the Mittag-Leffler theorem, the Weierstrass factorization theorem, and the Riemann-Roch theorem. Volume 4 covers the applications of the analytic theory of functions of one and several complex variables to other areas of mathematics, including topics such as number theory, algebraic geometry, and differential equations.

The Analytic Theory and Applications Encyclopedia of Mathematics and Its Applications is an essential reference work for mathematicians, physicists, and engineers who work with functions of complex variables. The encyclopedia is also a valuable resource for students who are studying complex analysis.

Volume 1: Functions of One Complex Variable

Chapter 1: Complex Numbers
Chapter 2: Analytic Functions
Chapter 3: The Cauchy-Riemann Equations
Chapter 4: The Riemann Mapping Theorem

Volume 2: Functions of Several Complex Variables

Chapter 5: Holomorphic Functions
Chapter 6: Harmonic Functions
Chapter 7: The Levi-Civita Theorem

Volume 3: Meromorphic Functions

Chapter 8: The Mittag-Leffler Theorem
Chapter 9: The Weierstrass Factorization Theorem
Chapter 10: The Riemann-Roch Theorem

Volume 4: Applications

Chapter 11: Number Theory
Chapter 12: Algebraic Geometry
Chapter 13: Differential Equations

Reviews

"The Analytic Theory and Applications Encyclopedia of Mathematics and Its Applications is a monumental work that will be an invaluable resource for mathematicians, physicists, and engineers for many years to come." - American Mathematical Society

"This encyclopedia is a must-have for anyone who works with functions of complex variables." - Mathematical Reviews

"The Analytic Theory and Applications Encyclopedia of Mathematics and Its Applications is a comprehensive and authoritative reference work that provides a detailed and up-to-date account of the analytic theory of functions of one and several complex variables. The encyclopedia is divided into four volumes, each of which covers a different aspect of the theory." - Zentralblatt MATH

About the Authors

Edward B. Saff is a professor of mathematics at the University of South Florida. He is the author of several books on complex analysis, including Complex Variables and Conformal Mapping.

Arthur David Snider is a professor of mathematics at the University of California, Berkeley. He is the author of several books on complex analysis, including Analytic Theory of Elliptic Functions and Elliptic Functions and Theta Functions.

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The Analytic Theory and Applications Encyclopedia of Mathematics and Its Applications is available in print and electronic formats from Our Book Library.com and other major booksellers.

Continued Fractions: Analytic Theory and Applications (Encyclopedia of Mathematics and its Applications Book 11)

by William B. Jones

5 out of 5