Mathematics of Physics and Engineering - Edward K Blum

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Résumé :
While Mathematics of Physics and Engineering conceivably implies all of mathematics, a course with this title usually includes very specific topics like review of vector calculus, introduction to partial differential equations, Fourier series and integrals, and selected topics from complex analysis. Most universities offer this course in various forms. However, there is no textbook specifically designed for it. This descriptive text aims at filling the gap with a self-contained treatment of the above topics. Instead of the traditional end-of section problems, this book presents relatively easy exercises throughout the text. Complicated and comprehensive problems are compiled in a separate chapter titled Further Developments. Special emphasis is placed on incorporating historical developments into the presentation. The use of computer algebra systems, such as Matlab or Maple, is encouraged throughout the text to visualize or confirm analytical results and/or to implement certain numerical schemes.