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Complex Variables: A Physical Approach with Applications and MATLAB

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by Steven G. Krantz
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Complex Variables: A Physical Approach with Applications and MATLAB by Steven G. Krantz

From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice.

The first five chapters encompass the core material of the book. These chapters cover fundamental concepts, holomorphic and harmonic functions, Cauchy theory and its applications, and isolated singularities. Subsequent chapters discuss the argument principle, geometric theory, and conformal mapping, followed by a more advanced discussion of harmonic functions. The author also presents a detailed glimpse of how complex variables are used in the real world, with chapters on Fourier and Laplace transforms as well as partial differential equations and boundary value problems. The final chapter explores computer tools, including Mathematica?, Mapleā„¢, and MATLAB?, that can be employed to study complex variables. Each chapter contains physical applications drawing from the areas of physics and engineering. Offering new directions for further learning, this text provides modern students with a powerful toolkit for future work in the mathematical scien

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Ebook Details
Pages: 440
Size: 2.9 MB
Publisher: CRC Press
Date published:   2007
ISBN: 9781420010954 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics > Functional Analysis

This author has products in the following categories:

Nonfiction > Mathematics > Discrete Mathematics
Nonfiction > Mathematics > Calculus
Nonfiction > Technology
Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Study & Teaching
Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Functional Analysis
Nonfiction > Science > Mathematical Physics
Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Set Theory
Nonfiction > Mathematics > Arithmetic

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