Differential Equations: A Primer for Scientists and Engineers (Springer Undergraduate Texts in Mathematics and Technology) - Hardcover

Constanda, Christian

Hardcover

ISBN 10: 3319502239 ISBN 13: 9783319502236

Publisher: Springer, 2017

Synopsis

This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution.

The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference.

About this title

About the Author:

Christian Constanda, MS, PhD, DSc, is the holder of the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa, USA. He is also the Chairman of the International Consortium on Integral Methods in Science and Engineering (IMSE).Other Springer publications by Christian Constanda: Dude, Can you Count? ISBN: 978-1-84882-538-3; (with D. Doty and W. Hamill) Boundary Integral Equation Methods and Numerical Solutions ISBN: 978-3-319-26307-6; Mathematical Methods for Elastic Plates ISBN: 978-1-4471-6433-3; (with G.R. Thomson) Stationary Oscillations of Elastic Plates, ISBN: 978-0-8176-8340-8.

Review:

From the reviews:

“The author of this book does a does a very creditable job of providing the basic material of ordinary differential equations. ... The book is largely aimed at average students in mathematics, science or engineering. The author suggests that stronger students can use the text as a bridge to more specialized books or more advanced courses. ... There are many exercises.” (William J. Satzer, MAA Reviews, November, 2013)

“The author writes this book respecting his readers and caring about the way of exposing his ideas. The book is written in a style that uses words as a bonding agent between consecutive mathematical passages, which creates a pleasant and comfortable lecture. ... The book contains 232 worked examples and 810 exercises. ... We kindly recommend this book to future engineers and scientists as well as to all those interested in the topic, who encounter differential equations in their professional work.” (Alexandru Negrescu, zbMATH, Vol. 1272, 2013)

About this edition

• Publisher: Springer
• Publication date: 2017
• ISBN 10: 3319502239
• ISBN 13: 9783319502236
• Binding: Hardcover
• Edition number: 2
• Number of pages: 314