Ordinary and Partial Differential Equations for the Beginner
eBook - ePub

Ordinary and Partial Differential Equations for the Beginner

  1. 256 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Ordinary and Partial Differential Equations for the Beginner

About this book

This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary differential equations to advanced methods for first order partial differential equations.

In addition to the theoretical background, solution methods are strongly emphasized. Each section is completed with problems and exercises, and the solutions are also provided. There are special sections devoted to more applied tools such as implicit equations, Laplace transform, Fourier method, etc. As a novelty, a method for finding exponential polynomial solutions is presented which is based on the author's work in spectral synthesis. The presentation is self-contained, provided the reader has general undergraduate knowledge.

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Yes, you can access Ordinary and Partial Differential Equations for the Beginner by László Székelyhidi in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Halftitle
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. 1. ORDINARY DIFFERENTIAL EQUATIONS
  9. 2. ELEMENTARY SOLUTION METHODS
  10. 3. LINEAR DIFFERENTIAL EQUATIONS
  11. 4. FUNCTIONAL DEPENDENCE, INDEPENDENCE
  12. 5. HIGHER ORDER DIFFERENTIAL EQUATIONS
  13. 6. FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS
  14. 7. THEORY OF CHARACTERISTICS
  15. 8. HIGHER ORDER PARTIAL DIFFERENTIAL EQUATIONS
  16. 9. SECOND ORDER QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS
  17. 10. SPECIAL PROBLEMS IN TWO VARIABLES
  18. 11. TABLE OF LAPLACE TRANSFORMS
  19. 12. ANSWERS TO SELECTED PROBLEMS
  20. Bibliography
  21. Index