Handbook of Exact Solutions to Mathematical Equations
eBook - ePub

Handbook of Exact Solutions to Mathematical Equations

  1. 659 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Handbook of Exact Solutions to Mathematical Equations

About this book

This reference book describes the exact solutions of the following types of mathematical equations:

? Algebraic and Transcendental Equations
? Ordinary Differential Equations
? Systems of Ordinary Differential Equations
? First-Order Partial Differential Equations
? Linear Equations and Problems of Mathematical Physics
? Nonlinear Equations of Mathematical Physics
? Systems of Partial Differential Equations
? Integral Equations
? Difference and Functional Equations
? Ordinary Functional Differential Equations
? Partial Functional Differential Equations

The book delves into equations that find practical applications in a wide array of natural and engineering sciences, including the theory of heat and mass transfer, wave theory, hydrodynamics, gas dynamics, combustion theory, elasticity theory, general mechanics, theoretical physics, nonlinear optics, biology, chemical engineering sciences, ecology, and more. Most of these equations are of a reasonably general form and dependent on free parameters or arbitrary functions.

The Handbook of Exact Solutions to Mathematical Equations generally has no analogs in world literature and contains a vast amount of new material. The exact solutions given in the book, being rigorous mathematical standards, can be used as test problems to assess the accuracy and verify the adequacy of various numerical and approximate analytical methods for solving mathematical equations, as well as to check and compare the effectiveness of exact analytical methods.

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Yes, you can access Handbook of Exact Solutions to Mathematical Equations by Andrei D. Polyanin 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 Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Contents
  7. Preface
  8. Author
  9. Notations and Remarks
  10. 1 Algebraic and Transcendental Equations
  11. 2 Ordinary Differential Equations
  12. 3 Systems of Ordinary Differential Equations
  13. 4 First-Order Partial Differential Equations
  14. 5 Linear Equations and Problems of Mathematical Physics
  15. 6 Nonlinear Equations of Mathematical Physics
  16. 7 Systems of Partial Differential Equations
  17. 8 Integral Equations
  18. 9 Difference and Functional Equations
  19. 10 Ordinary Functional Differential Equations
  20. 11 Partial Functional Differential Equations
  21. Index