By H. F. Weinberger
Incorporating some of the innovations of utilized arithmetic, the ebook additionally comprises lots of the thoughts of rigorous research often present in a path in complicated calculus. those thoughts and ideas are offered in a atmosphere the place their want is obvious and their program speedy. 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 handle nonhomogeneous difficulties, difficulties in better dimensions and a number of Fourier sequence, Sturm-Liouville thought, and basic Fourier expansions and analytic features of a fancy variable.
The final 4 chapters are dedicated to the evaluate of integrals by way of complicated variable equipment, strategies in line with the Fourier and Laplace transforms, and numerical approximation equipment. a number of workouts are incorporated through the textual content, with ideas 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