Differential Equations

Theory,Technique and Practice with Boundary Value Problems

By: Steven G. Krantz

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Paperback | 14 October 2024

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Paperback
464 Pages

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23.4 x 15.6

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Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning.

Streamlined for the interests of engineers, this version:

Includes new coverage of Sturm-Liouville theory and problems
Discusses PDEs, boundary value problems, and dynamical systems
Features an appendix that provides a linear algebra review
Augments the substantial and valuable exercise sets
Enhances numerous examples to ensure clarity

A solutions manual is available with qualifying course adoption.

Differential Equations: Theory, Technique, and Practice with Boundary Value Problems delivers a stimulating exposition of modeling and computing, preparing students for higher-level mathematical and analytical thinking.

Industry Reviews

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

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