Differential Equations : For Scientists and Engineers

✍ Scribed by Allan Struthers, Merle Potter

Publisher: Springer International Publishing
Year: 2019
Tongue: English
Leaves: 522
Edition: 2nd ed. 2019
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations.

✦ Table of Contents

Front Matter ....Pages i-xvii
Essentials of Linear Algebra (Allan Struthers, Merle Potter)....Pages 1-104
First-Order Differential Equations (Allan Struthers, Merle Potter)....Pages 105-153
Linear Systems of Differential Equations (Allan Struthers, Merle Potter)....Pages 155-241
Higher-Order Differential Equations (Allan Struthers, Merle Potter)....Pages 243-308
Laplace Transforms (Allan Struthers, Merle Potter)....Pages 309-372
Numerical Methods for Differential Equations (Allan Struthers, Merle Potter)....Pages 373-407
Series Solutions for Differential Equations (Allan Struthers, Merle Potter)....Pages 409-455
Back Matter ....Pages 457-514

✦ Subjects

Engineering; Engineering Mathematics; Ordinary Differential Equations; Mathematical Methods in Physics

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