Advanced Engineering Mathematics, 10th Edition

PREFACE

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Purpose and Structure of the Book

This book provides a comprehensive, thorough, and up-to-date treatment of engineering mathematics. It is intended to introduce students of engineering, physics, mathematics, computer science, and related fields to those areas of applied mathematics that are most relevant for solving practical problems. A course in elementary calculus is the sole prerequisite. (However, a concise refresher of basic calculus for the student is included on the inside cover and in Appendix 3.)

The subject matter is arranged into seven parts as follows:

1. Ordinary Differential Equations (ODEs) in Chapters 1–6
2. Linear Algebra. Vector Calculus. See Chapters 1–10
3. Fourier Analysis. Partial Differential Equations (PDEs). See Chapters 11 and 12
4. Complex Analysis in Chapters 1–18
5. Numeric Analysis in Chapters 1–21
6. Optimization, Graphs in Chapters 22 and 23
7. Probability, Statistics in Chapters 24 and 25.

These are followed by five appendices: 1. References, 2. Answers to Odd-Numbered Problems, 3. Auxiliary Materials (see also inside covers of book), 4. Additional Proofs, 5. Table of Functions. This is shown in a block diagram on the next page.

The parts of the book are kept independent. In addition, individual chapters are kept as independent as possible. (If so needed, any prerequisites—to the level of individual sections of prior chapters—are clearly stated at the opening of each chapter.) We give the instructor maximum flexibility ...