Includes new coverage of Sturm-Liouville theory and problems
Trade Review
Praise for Differential Equations: Theory, Technique, and Practice, Second Edition
"Krantz is a very prolific writer. He … creates excellent examples and problem sets."
—Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA
A first course in differential equations lends itself to the introduction of many interesting applications of mathematics. In this well-written text, Krantz (mathematics, Washington Univ. in St. Louis) emphasizes the differential equations needed to succeed as an engineer. This work is similar to Krantz and Simmons’s Differential Equations: Theory, Technique, and Practice (2007), yet the current work adds the necessary exposure to Sturm-Liouville problems and boundary value problems for the intended engineering audience. This enables the reader access to the all-important introduction to the partial differential equations; namely, the heat and wave equations, as well as the Dirichlet problem. This text has two features that differentiate it from all others on the market at this level: the sections entitled, “Anatomy of an Application” and “Problems for Review and Discovery.” The former analyzes a particular application, while the latter introduces open-ended material for further student exploration. These features will serve students well in their pursuit of garnishing the applied fruits of the subject. This text sets a new standard for the modern undergraduate course in differential equations.
--J. T. Zerger, Catawba College
Table of Contents
What Is a Differential Equation? Second-Order Linear Equations. Power Series Solutions and Special Functions. Numerical Methods. Fourier Series: Basic Concepts. Sturm–Liouville Problems and Boundary Value Problems. Partial Differential Equations and Boundary Value Problems. Laplace Transforms. Systems of First-Order Equations. The Nonlinear Theory. Appendix: Review of Linear Algebra.
