Differential Equations

A Primer for Scientists and Engineers

Christian Constanda (Autor)

Buch | Softcover

XVII, 297 Seiten

2018 | 2. Softcover reprint of the original 2nd ed. 2017
Springer International Publishing (Verlag)
978-3-319-84350-6 (ISBN)

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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.

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.

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.

Erscheint lt. Verlag	20.7.2018
Reihe/Serie	Springer Undergraduate Texts in Mathematics and Technology
Zusatzinfo	XVII, 297 p. 40 illus.
Verlagsort	Cham
Sprache	englisch
Maße	178 x 254 mm
Gewicht	6674 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	differential equations engineers • differential equations textbook • multistep methods • Numerical Methods • Runge-Kutta Method • undergraduate differential equations
ISBN-10	3-319-84350-8 / 3319843508
ISBN-13	978-3-319-84350-6 / 9783319843506
Zustand	Neuware