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Differential Equations

A Primer for Scientists and Engineers

  • Christian Constanda

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Christian Constanda
    Pages 1-13
  3. Christian Constanda
    Pages 15-42
  4. Christian Constanda
    Pages 43-61
  5. Christian Constanda
    Pages 63-104
  6. Christian Constanda
    Pages 105-117
  7. Christian Constanda
    Pages 119-138
  8. Christian Constanda
    Pages 139-187
  9. Christian Constanda
    Pages 189-220
  10. Christian Constanda
    Pages 221-245
  11. Christian Constanda
    Pages 247-258
  12. Back Matter
    Pages 259-297

About this book

Introduction

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.

Other Springer publications by Christian ConstandaDude, 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.

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).

Keywords

differential equations textbook numerical methods Runge-Kutta method multistep methods undergraduate differential equations differential equations engineers

Authors and affiliations

  • Christian Constanda
    • 1
  1. 1.Department of MathematicsThe University of TulsaTulsaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-50224-3
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-50223-6
  • Online ISBN 978-3-319-50224-3
  • Series Print ISSN 1867-5506
  • Series Online ISSN 1867-5514
  • Buy this book on publisher's site
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