Differential Equations : A Primer for Scientists and Engineers. 2nd ed. 2017

種類:

電子ブック

責任表示:

by Christian Constanda

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Constanda, Christian.
• SpringerLink (Online service)

シリーズ名:

Springer Undergraduate Texts in Mathematics and Technology ;

ISBN:

9783319502243 [3319502247]    

注記:

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.
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"

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