Differential Equations: Theory, Technique and Practice, Second Edition (Textbooks in Mathematics) - Hardcover

"Retaining many of the strong aspects of the first edition, which received positive feedback from readers, the new edition focuses on clarity of exposition and examples, many of which feature applications of differential equations. ... Being an homage to the excellent writing skills of George Simmons and his well-known text on differential equations written back in 1972, this updated edition maintains the highest standards of mathematics exposition. Warmly recommended as a comprehensive and modern textbook on theory, methods, and applications of differential equations!"
―Zentralblatt MATH 1316

"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

"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

Designed for a one- or two-semester undergraduate course, Differential Equations: Theory, Technique and Practice, Second Edition educates a new generation of mathematical scientists and engineers on differential equations. This edition continues to emphasize examples and mathematical modeling as well as promote analytical thinking to help students in future studies.

New to the Second Edition

• Improved exercise sets and examples
• Reorganized material on numerical techniques
• Enriched presentation of predator-prey problems
• Updated material on nonlinear differential equations and dynamical systems
• A new appendix that reviews linear algebra

In each chapter, lively historical notes and mathematical nuggets enhance students’ reading experience by offering perspectives on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight rich applications from engineering, physics, and applied science. Problems for review and discovery also give students some open-ended material for exploration and further learning.