Differential Equations
A Primer for Scientists and Engineers
Authors: Constanda, Christian
Free Preview- Second edition includes a new chapter on numerical methods of solution
- Second edition includes 246 worked examples and over 1000 exercises
- Discusses essential topics completely, concisely, and succinctly, in "everyday classroom language" without unnecessary embellishment
- Text to be used both independently by average students and as a basic framework in the fundamentals of the subject for more advanced students
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- About this Textbook
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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 the authors
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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.
- Table of contents (10 chapters)
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Introduction
Pages 1-13
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First-Order Equations
Pages 15-42
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Mathematical Models with First-Order Equations
Pages 43-61
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Linear Second-Order Equations
Pages 63-104
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Mathematical Models with Second-Order Equations
Pages 105-117
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Table of contents (10 chapters)
- Download Preface 1 PDF (138.2 KB)
- Download Sample pages 1 PDF (645.1 KB)
- Download Table of contents PDF (64.3 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Differential Equations
- Book Subtitle
- A Primer for Scientists and Engineers
- Authors
-
- Christian Constanda
- Series Title
- Springer Undergraduate Texts in Mathematics and Technology
- Copyright
- 2017
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-319-50224-3
- DOI
- 10.1007/978-3-319-50224-3
- Hardcover ISBN
- 978-3-319-50223-6
- Softcover ISBN
- 978-3-319-84350-6
- Series ISSN
- 1867-5506
- Edition Number
- 2
- Number of Pages
- XVII, 297
- Number of Illustrations
- 40 b/w illustrations
- Topics
