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PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER AND THEIR APPLICATIONS TO PHYSICS
by Gustavo López (University of Guadalajara, Mexico)
This book is about the theory and applications of Partial Differential Equations of First Order (PDEFO). Many interesting topics in physics such as constant motion of dynamical systems, renormalization theory, Lagrange transformation, ray trajectories, and Hamilton–Jacobi theory are or can be formulated in terms of partial differential equations of first order. In this book, the author illustrates the utility of the powerful method of PDEFO in physics, and also shows how PDEFO are useful for solving practical problems in different branches of science. The book focuses mainly on the applications of PDEFO, and the mathematical formalism is treated carefully but without diverging from the main objective of the book.
Contents:
- Geometric Concepts and Generalities
- Partial Differential
Equations of First Order
- Physical Applications I
- Nonlinear Partial Differential Equations of First Order
- Physical Applications II
- Characteristic Surfaces of Linear Partial Differential Equation of Second Order
Readership: Physicists, mathematicians and engineers.
"... this book, as a careful introduction, may be highly recommended to students and to scientists, mathematicians and physicists, who may find in it important and nontrivial applications of first-order PDEs in physics."
| Mathematical Reviews, 2002 |
| 124pp |
Pub. date: Dec 1999 |
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