complex variables second edition dover books on mathematics

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Complex Variables

Author : Stephen D. Fisher
ISBN : 9780486406794
Genre : Mathematics
File Size : 44. 77 MB
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Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.

Complex Variables For Scientists And Engineers

Author : John D. Paliouras
ISBN : 9780486493473
Genre : Mathematics
File Size : 76. 62 MB
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Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.

Complex Variables

Author : Robert B. Ash
ISBN : 9780486462509
Genre : Mathematics
File Size : 86. 98 MB
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This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. An introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.

Applied Complex Variables

Author : John W. Dettman
ISBN : 9780486158280
Genre : Mathematics
File Size : 20. 21 MB
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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

A Second Course In Complex Analysis

Author : William A. Veech
ISBN : 9780486151939
Genre : Mathematics
File Size : 48. 91 MB
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Geared toward upper-level undergraduates and graduate students, this clear, self-contained treatment of important areas in complex analysis is chiefly classical in content and emphasizes geometry of complex mappings. 1967 edition.

Elementary Theory Of Analytic Functions Of One Or Several Complex Variables

Author : Henri Cartan
ISBN : 9780486318677
Genre : Mathematics
File Size : 70. 93 MB
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Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Complex Variables

Author : A. K. Kapoor
ISBN : 9789814313520
Genre : Mathematics
File Size : 87. 11 MB
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This textbook introduces the theory of complex variables at undergraduate level. A good collection of problems is provided in the second part of the book. The book is written in a user-friendly style that presents important fundamentals a beginner needs to master the technical details of the subject. Similarly, teachers can also adopt the text for a course on complex variables and for mining problems. The organization of problems into focused sets is an important feature of the book.

Introductory Complex Analysis

Author : Richard A. Silverman
ISBN : 9780486318523
Genre : Mathematics
File Size : 76. 64 MB
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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Complex Variables And The Laplace Transform For Engineers

Author : Wilbur R. LePage
ISBN : 9780486136448
Genre : Technology & Engineering
File Size : 57. 61 MB
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Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.

Fourier Analysis In Several Complex Variables

Author : Leon Ehrenpreis
ISBN : 9780486153032
Genre : Mathematics
File Size : 71. 76 MB
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Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.

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