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

By Steven G. Krantz

From the algebraic homes of an entire quantity box, to the analytic homes imposed by way of the Cauchy essential formulation, to the geometric features originating from conformality, complicated Variables: A actual procedure with purposes and MATLAB explores all features of this topic, with specific emphasis on utilizing idea in practice.

The first 5 chapters surround the middle fabric of the e-book. those chapters disguise basic strategies, holomorphic and harmonic capabilities, Cauchy idea and its functions, and remoted singularities. next chapters talk about the argument precept, geometric conception, and conformal mapping, by means of a extra complicated dialogue of harmonic services. the writer additionally provides an in depth glimpse of ways complicated variables are utilized in the true global, 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 review complicated variables. every one bankruptcy includes actual purposes drawing from the components of physics and engineering.

Offering new instructions for extra studying, this article offers glossy scholars with a robust toolkit for destiny paintings within the mathematical sciences.

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

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