9780486498768, Elements of Partial Differential Equations, Sneddon (Author), Dover Publications, Inc., English, Worldwide

Ian N. Sneddon was a Scottish mathematician and physicist known for his contributions to applied mathematics. He specialized in partial differential equations, mathematical physics, and elasticity theory. Sneddon authored several influential books, including Elements of Partial Differential Equations, which remains widely used in academia. He held prestigious positions, including Professor of Mathematics at the University of Glasgow. His research significantly advanced the understanding of boundary value problems and integral transform techniques. Sneddon’s work continues to be a fundamental reference for students and researchers in mathematics, physics, and engineering.

1. Introduction

   • Basic concepts and definitions related to partial differential equations.

2. Ordinary Differential Equations in More Than Two Variables

   • Exploration of ordinary differential equations involving multiple variables.

3. Partial Differential Equations of the First Order

   • Methods of solving first-order partial differential equations.

4. Partial Differential Equations of the Second Order

   • Classification and solutions of second-order partial differential equations.

5. Laplace's Equation

   • Detailed study of Laplace's equation and its applications.

6. The Wave Equation

   • Analysis of the wave equation and its solutions.

7. The Diffusion Equation

   • Examination of the diffusion equation and related phenomena.

8. The Solution of Linear Hyperbolic Equations

   • Techniques for solving linear hyperbolic partial differential equations.

9. Separation of Variables

   • Method of separation of variables applied to various equations.

10. The Method of Integral Transforms

    • Utilization of integral transforms in solving partial differential equations.

11. Nonlinear Equations of Mathematical Physics

    • Investigation of nonlinear equations arising in mathematical physics.

Appendix

• Additional mathematical tools and references to support the main content.

• Publisher ‏ : ‎ Dover Publications, Inc. (1 January 2006)
• Language ‏ : ‎ English
• ISBN-13 ‏ : ‎ 978-0486498768
• Item Weight ‏ : ‎ 0.38 Kg
• Dimensions ‏ : ‎ 20.3 x 25.4 x 4.7 cm