Fourier Analysis and Boundary Value Problems
eBook - ePub

Fourier Analysis and Boundary Value Problems

  1. 551 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Fourier Analysis and Boundary Value Problems

About this book

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. - Topics are covered from a historical perspective with biographical information on key contributors to the field - The text contains more than 500 exercises - Includes practical applications of the equations to problems in both engineering and physics

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Yes, you can access Fourier Analysis and Boundary Value Problems by Enrique A. Gonzalez-Velasco in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright page
  5. Preface
  6. 1: A Heated Discussion
  7. 2: Fourier Series
  8. 3: Return to the Heated Bar
  9. 4: Generalized Fourier Series
  10. 5: The Wave Equation
  11. 6: Orthogonal Systems
  12. 7: Fourier Transforms
  13. 8: Laplace Transforms
  14. 9: Boundary Value Problems in Higher Dimensions
  15. 10: Boundary Value Problems with Circular Symmetry
  16. 11: Boundary Value Problems with Spherical Symmetry
  17. 12: Distributions and Green's Functions
  18. Appendix A: Uniform Convergence
  19. Appendix B: Improper Integrals
  20. Appendix C: Tables of Fourier and Laplace Transforms
  21. Appendix D: Historical Bibliography
  22. Index