New PDF release: Complex Variables: A Physical Approach with Applications and

By Steven G. Krantz

ISBN-10: 1584885807

ISBN-13: 9781584885801

From the algebraic houses of a whole quantity box, to the analytic homes imposed through the Cauchy quintessential formulation, to the geometric traits originating from conformality, complicated Variables: A actual strategy with purposes and MATLAB explores all aspects of this topic, with specific emphasis on utilizing conception in practice.

The first 5 chapters surround the center fabric of the e-book. those chapters disguise primary options, holomorphic and harmonic features, Cauchy conception and its purposes, and remoted singularities. next chapters talk about the argument precept, geometric thought, and conformal mapping, by way of a extra complicated dialogue of harmonic capabilities. the writer additionally offers a close glimpse of the way complicated variables are utilized in the genuine international, with chapters on Fourier and Laplace transforms in addition to partial differential equations and boundary price difficulties. the ultimate bankruptcy explores machine instruments, together with Mathematica®, Maple™, and MATLAB®, that may be hired to check advanced variables. each one bankruptcy includes actual purposes drawing from the components of physics and engineering.

Offering new instructions for additional studying, this article presents smooth scholars with a robust toolkit for destiny paintings within the mathematical sciences.

Show description

By Steven G. Krantz

ISBN-10: 1584885807

ISBN-13: 9781584885801

From the algebraic houses of a whole quantity box, to the analytic homes imposed through the Cauchy quintessential formulation, to the geometric traits originating from conformality, complicated Variables: A actual strategy with purposes and MATLAB explores all aspects of this topic, with specific emphasis on utilizing conception in practice.

The first 5 chapters surround the center fabric of the e-book. those chapters disguise primary options, holomorphic and harmonic features, Cauchy conception and its purposes, and remoted singularities. next chapters talk about the argument precept, geometric thought, and conformal mapping, by way of a extra complicated dialogue of harmonic capabilities. the writer additionally offers a close glimpse of the way complicated variables are utilized in the genuine international, with chapters on Fourier and Laplace transforms in addition to partial differential equations and boundary price difficulties. the ultimate bankruptcy explores machine instruments, together with Mathematica®, Maple™, and MATLAB®, that may be hired to check advanced variables. each one bankruptcy includes actual purposes drawing from the components of physics and engineering.

Offering new instructions for additional studying, this article presents smooth scholars with a robust toolkit for destiny paintings within the mathematical sciences.

Show description

Read or Download Complex Variables: A Physical Approach with Applications and MATLAB (Textbooks in Mathematics) PDF

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Complex Variables: A Physical Approach with Applications and MATLAB (Textbooks in Mathematics) by Steven G. Krantz


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