The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.
Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research.
The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added.
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences.
Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables.
Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included.
While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave ...
This book is an introduction to methods for solving partial differential equations (PDEs).
This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics.
Provides students with the fundamental concepts, the underlying principles, and various well-known mathematical techniques and methods, such as Laplace and Fourier transform techniques, the variable separable method, and Green's function ...
The text represents a new approach to PDEs at the undergraduate level by presenting computation as an integral part of the study of differential equations.