Beginning Partial Differential Equations
eBook - ePub

Beginning Partial Differential Equations

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

Beginning Partial Differential Equations

About this book

A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields

Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burger's equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems.

The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations. With a primary focus on wave and diffusion processes, Beginning Partial Differential Equations, Third Edition also includes:

  • Proofs of theorems incorporated within the topical presentation, such as the existence of a solution for the Dirichlet problem
  • The incorporation of Maple™ to perform computations and experiments
  • Unusual applications, such as Poe's pendulum
  • Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics
  • Fourier and Laplace transform techniques to solve important problems

Beginning of Partial Differential Equations, Third Edition is an ideal textbook for upper-undergraduate and first-year graduate-level courses in analysis and applied mathematics, science, and engineering.

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Yes, you can access Beginning Partial Differential Equations by Peter V. O'Neil 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

Publisher
Wiley
Year
2014
Print ISBN
9781118629949
eBook ISBN
9781118629987

Table of contents

  1. Cover
  2. Half Title page
  3. Title page
  4. Copyright page
  5. Preface
  6. Chapter 1: First Ideas
  7. Chapter 2: Solutions of the Heat Equation
  8. Chapter 3: Solutions of the Wave Equation
  9. Chapter 4: Dirichlet and Neumann Problems
  10. Chapter 5: Fourier Integral Methods of Solution
  11. Chapter 6: Solutions Using Eigenfunction Expansions
  12. Chapter 7: Integral Transform Methods of Solution
  13. Chapter 8: First-Order Equations
  14. Chapter 9: End Materials
  15. Index