Ebook: Applied Mathematics

This volume is a textbook for a year-long graduate level course in All research universities have applied mathematics for scientists and engineers. such a course, which could be taught in different departments, such as mathematics, physics, or engineering. I volunteered to teach this course when I realized that my own research students did not learn much in this course at my university. Then I learned that the available textbooks were too introduc­ tory. While teaching this course without an assigned text, I wrote up my lecture notes and gave them to the students. This textbook is a result of that endeavor. When I took this course many, many, years ago, the primary references were the two volumes of P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953). The present text returns the contents to a similar level, although the syllabus is quite different than given in this venerable pair of books.

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Content:
Front Matter....Pages i-xi
Determinants....Pages 1-12
Matrices....Pages 13-45
Group Theory....Pages 47-71
Complex Variables....Pages 73-118
Series....Pages 119-140
Conformal Mapping....Pages 141-176
Markov Averaging....Pages 177-194
Fourier Transforms....Pages 195-215
Equations of Physics....Pages 217-236
One Dimension....Pages 237-264
Two Dimensions....Pages 265-296
Three Dimensions....Pages 297-332
Odds and Ends....Pages 333-363
Back Matter....Pages 365-368

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Content:
Front Matter....Pages i-xi
Determinants....Pages 1-12
Matrices....Pages 13-45
Group Theory....Pages 47-71
Complex Variables....Pages 73-118
Series....Pages 119-140
Conformal Mapping....Pages 141-176
Markov Averaging....Pages 177-194
Fourier Transforms....Pages 195-215
Equations of Physics....Pages 217-236
One Dimension....Pages 237-264
Two Dimensions....Pages 265-296
Three Dimensions....Pages 297-332
Odds and Ends....Pages 333-363
Back Matter....Pages 365-368
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