Basic Partial Differential Equations
eBook - ePub

Basic Partial Differential Equations

  1. 765 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Basic Partial Differential Equations

About this book

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text:

  • the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks
  • convergence of numerical solutions of PDEs and implementation on a computer
  • convergence of Laplace series on spheres
  • quantum mechanics of the hydrogen atom
  • solving PDEs on manifolds

    The text requires some knowledge of calculus but none on differential equations or linear algebra.
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    Yes, you can access Basic Partial Differential Equations by David. Bleecker 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.

    Table of contents

    1. Cover
    2. Half Title
    3. Title Page
    4. Copyrigt Page
    5. Table of Contents
    6. Preface
    7. 1. Review and Introduction
    8. 2. First-Order PDEs
    9. 3. The Heat Equation
    10. 4. Fourier Series and Sturm—Liouville Theory
    11. 5. The Wave Equation
    12. 6. Laplace’s Equation
    13. 7. Fourier Transforms
    14. 8. Numerical Solutions. An Introduction.
    15. 9. PDEs in Higher Dimensions
    16. Appendix
    17. References
    18. Selected Answers
    19. Index of Notation
    20. Index