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Applied Mathematics

  • Book
  • © 2002

Overview

Authors:
  1. Gerald Dennis Mahan

    1. Pennsylvania State University, University Park, USA

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xi
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  2. Determinants

    • Gerald Dennis Mahan
    Pages 1-12

  3. Matrices

    • Gerald Dennis Mahan
    Pages 13-45

  4. Group Theory

    • Gerald Dennis Mahan
    Pages 47-71

  5. Complex Variables

    • Gerald Dennis Mahan
    Pages 73-118

  6. Series

    • Gerald Dennis Mahan
    Pages 119-140

  7. Conformal Mapping

    • Gerald Dennis Mahan
    Pages 141-176

  8. Markov Averaging

    • Gerald Dennis Mahan
    Pages 177-194

  9. Fourier Transforms

    • Gerald Dennis Mahan
    Pages 195-215

  10. Equations of Physics

    • Gerald Dennis Mahan
    Pages 217-236

  11. One Dimension

    • Gerald Dennis Mahan
    Pages 237-264

  12. Two Dimensions

    • Gerald Dennis Mahan
    Pages 265-296

  13. Three Dimensions

    • Gerald Dennis Mahan
    Pages 297-332

  14. Odds and Ends

    • Gerald Dennis Mahan
    Pages 333-363

  15. Back Matter

    Pages 365-368
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Keywords

About this book

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.

Reviews

`...the treatment is user-friendly. [...] The printing is excellent and the publishers are to be thanked for producing a hard back volume for what is, these days, a reasonable price. I have no hesitation giving a warm recommendation for this book.'
Mathematical Reviews, 2003

Authors and Affiliations

  • Pennsylvania State University, University Park, USA

    Gerald Dennis Mahan

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