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Differential Equations (2nd Edition)

A Primer for Scientists and Engineers

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Publisher:

Springer

Pages: 297
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Hardcover - 9783319502236

23 March 2017

$74.99

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Ebook - 9783319502243

14 March 2017

$59.99

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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...

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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.

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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

1. Introduction
2. First Order Equations
3. Mathematical Models with First-Order Equations
4. Linear Second-Order Equations
4. Higher-Order Equations
5. Mathematical Models with Second-Order Equations
6. Higher-Order Linear Equations
7. Systems of Differential Equations
8. The Laplace Transformation
9. Series Solutions
10. Numerical Methods
A. Algebra Techniques
B. Calculus Techniques
C. Table of Laplace Transforms
D. The Greek Alphabet
Further Reading
Answers to Odd-Numbered Exercises
Index.

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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 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.

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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 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.

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