Applied Differential Equations: The Primary Course: 18 (Textbooks in Mathematics)

Book Details:

• Publisher: Chapman and Hall/CRC

• Author: Vladimir A. Dobrushkin

• Language: English

• Binding: Hardcover

• Edition: 1

• ISBN: 9781439851043

• Number of Pages: 731

• Dimensions: 10.1 x 7.2 x 2.0 inches

• Release Date: 16-12-2014

About The Book:

"Applied Differential Equations: An Introduction" by Vladimir A. Dobrushkin presents a contemporary and comprehensive approach to teaching ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs). Ideal for a two-semester undergraduate course, the book is designed to provide students majoring in engineering, physical sciences, and other related fields with a solid foundation in differential equations.

The book goes beyond traditional content by incorporating modern mathematical modeling techniques, with a particular focus on numerical algorithms and the use of popular computer software packages. Students will gain practical skills in solving differential equations both analytically and numerically.

Key Features:

• Comprehensive Coverage: Covers both traditional material and modern approaches, focusing on the application of differential equations in real-world scenarios.

• Numerical Methods: Introduces techniques for numerical approximation and provides corresponding codes for popular numerical solvers.

• Practical Applications: Includes examples from engineering and the sciences, demonstrating how to use differential equations in various disciplines.

• Step-by-Step Solutions: A wealth of examples and exercises help reinforce key concepts, along with summaries and review questions at the end of each chapter for self-study.

• Numerical Solver Codes: Offers practical codes for solving ODEs and PDEs using mathematical software packages.

Additional Insights:

• The text provides a unique balance between theory and practice, teaching students how to formulate mathematical models, solve them analytically and numerically, and interpret the results.

• The inclusion of advanced material caters to students who wish to deepen their understanding of differential equations, while also being accessible to beginners.

Ideal for:

• Undergraduate students in engineering, physical sciences, and applied mathematics.

• Self-learners or those seeking a comprehensive resource for learning differential equations.

• Instructors looking for a textbook that integrates applications and modern computational methods.

What Reviewers Are Saying:

• "The author covers traditional material along with modern approaches for analyzing, solving, and visualizing ODEs. The text includes a large number of exercises and summary questions, making it well-suited for self-study." — Zentralblatt MATH 1326

• "A very attractive text with lucid writing and clear development of the basic ideas. There is a good range of difficulty in the exercises, making it useful for students at different levels." — MAA Reviews

About the Author:
Vladimir A. Dobrushkin is an associate of Brown University and a noted expert in applied mathematics, particularly in the field of differential equations and mathematical modeling.

This book is a valuable resource for anyone seeking to understand and apply differential equations in the real world, from undergraduate students to professionals looking to refresh or expand their knowledge.