# Advanced Engineering Mathematics, 7th Edition

## Book Description

Through previous editions, Peter O'Neil has made rigorous engineering mathematics topics accessible to thousands of students by emphasizing visuals, numerous examples, and interesting mathematical models. Now, ADVANCED ENGINEERING MATHEMATICS features revised examples and problems as well as newly added content that has been fine-tuned throughout to improve the clear flow of ideas. The computer plays a more prominent role than ever in generating computer graphics used to display concepts and problem sets. In this new edition, computational assistance in the form of a self contained Maple Primer has been included to encourage students to make use of such computational tools. The content has been reorganized into six parts and covers a wide spectrum of topics including Ordinary Differential Equations, Vectors and Linear Algebra, Systems of Differential Equations and Qualitative Methods, Vector Analysis, Fourier Analysis, Orthogonal Expansions, and Wavelets, and much more.

### Table of Contents

PART 1: Ordinary Differential Equations

CHAPTER 1: First-Order Differential Equations

CHAPTER 2: Linear Second-Order Equations

CHAPTER 3: The Laplace Transform

CHAPTER 4: Series Solutions

CHAPTER 5: Approximation of Solutions

PART 2: Vectors, Linear Algebra, and Systems of Linear Differential Equations

CHAPTER 6: Vectors and Vector Spaces

CHAPTER 7: Matrices and Linear Systems

CHAPTER 8: Determinants

CHAPTER 9: Eigenvalues, Diagonalization, and Special Matrices

CHAPTER 10: Systems of Linear Differential Equations

PART 3: Vector Analysis

CHAPTER 11: Vector Differential Calculus

CHAPTER 12: Vector Integral Calculus

PART 4: Fourier Analysis, Special Functions, and Eigenfunction Expansions

CHAPTER 13: Fourier Series

CHAPTER 14: The Fourier Integral and Transforms

CHAPTER 15: Special Functions and Eigenfunction Expansions

PART 5: Partial Differential Equations

CHAPTER 16: The Wave Equation

CHAPTER 17: The Heat Equation

CHAPTER 18: The Potential Equation

PART 6: Complex Functions

CHAPTER 19: Complex Numbers and Functions

CHAPTER 20: Complex Integration

CHAPTER 21: Series Representations of Functions

CHAPTER 22: Singularities and the Residue Theorem

CHAPTER 23: Conformal Mappings and Applications

APPENDIX A: A MAPLE Primer

Answers to Selected Problems

## Book Details

- Title: Advanced Engineering Mathematics, 7th Edition
- Author: Peter V. O'Neil
- Length: 912 pages
- Edition: 7
- Language: English
- Publisher: CL-Engineering
- Publication Date: 2011-01-01
- ISBN-10: 1111427410
- ISBN-13: 9781111427412

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