By H. F. Weinberger
Incorporating a number of the ideas of utilized arithmetic, the booklet additionally comprises lots of the ideas of rigorous research often present in a path in complicated calculus. those suggestions and ideas are provided in a environment the place their want is apparent and their program instant. Chapters I via IV disguise the one-dimensional wave equation, linear second-order partial differential equations in variables, a few houses 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 thought, and basic Fourier expansions and analytic services of a posh variable.
The final 4 chapters are dedicated to the review of integrals by way of complicated variable equipment, suggestions in response to the Fourier and Laplace transforms, and numerical approximation tools. a number of workouts are incorporated during the textual content, with strategies on the back.
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Extra info 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