By H. F. Weinberger
Incorporating a few of the thoughts of utilized arithmetic, the ebook additionally includes lots of the thoughts of rigorous research frequently present in a path in complex calculus. those options and ideas are offered in a atmosphere the place their want is apparent and their software rapid. Chapters I via IV disguise 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 tackle nonhomogeneous difficulties, difficulties in better dimensions and a number of Fourier sequence, Sturm-Liouville idea, and basic Fourier expansions and analytic features of a fancy variable.
The final 4 chapters are dedicated to the assessment of integrals by way of advanced variable equipment, suggestions in keeping with the Fourier and Laplace transforms, and numerical approximation equipment. quite a few routines are integrated in the course of the textual content, with options on the back.
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Extra resources for A First Course in Partial Differential Equations: with Complex Variables and Transform Methods (Dover Books on Mathematics)
A First Course in Partial Differential Equations: with Complex Variables and Transform Methods (Dover Books on Mathematics) by H. F. Weinberger