H. F. Weinberger's A First Course in Partial Differential Equations: with PDF

By H. F. Weinberger

ISBN-10: 048668640X

ISBN-13: 9780486686400

This renowned textual content used to be created for a one-year undergraduate direction or starting graduate direction in partial differential equations, together with the common idea of complicated variables. It employs a framework within which the final homes of partial differential equations, similar to features, domain names of independence, and greatest rules, could be essentially obvious. the single prerequisite is an efficient path in calculus.
Incorporating the various thoughts of utilized arithmetic, the publication additionally comprises many of the techniques of rigorous research often present in a direction in complex calculus. those recommendations and ideas are offered in a atmosphere the place their want is apparent and their software speedy. Chapters I via IV conceal the one-dimensional wave equation, linear second-order partial differential equations in variables, a few homes of elliptic and parabolic equations and separation of variables, and Fourier sequence. Chapters V via VIII deal with nonhomogeneous difficulties, difficulties in larger dimensions and a number of Fourier sequence, Sturm-Liouville idea, and normal Fourier expansions and analytic services of a fancy variable.
The final 4 chapters are dedicated to the review of integrals by way of advanced variable equipment, ideas in line with the Fourier and Laplace transforms, and numerical approximation tools. various workouts are integrated during the textual content, with suggestions on the back.

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A First Course in Partial Differential Equations: with Complex Variables and Transform Methods (Dover Books on Mathematics) by H. F. Weinberger

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