高等工程数学 英文第7版 Peter V· O’Neil

最近更新：

中文名: 高等工程数学

原名: Advanced Engineering Mathematics

作者: Peter V. O’Neil

图书分类: 科技

资源格式: PDF

版本: 第7版

出版社: Cengage

书号: 978-1-111-42741-2

发行时间: 2012年

地区: 美国

语言: 英文

简介: 

目录: 

Preface xi
PART
1
Ordinary Differential Equations 1
CHAPTER 1 First-Order Differential Equations 3
1.1 Terminology and Separable Equations 3
1.2 Linear Equations 16
1.3 Exact Equations 21
1.4 Homogeneous, Bernoulli, and Riccati Equations 26
1.4.1 The Homogeneous Differential Equation 26
1.4.2 The Bernoulli Equation 27
1.4.3 The Riccati Equation 28
1.5 Additional Applications 30
1.6 Existence and Uniqueness Questions 40
CHAPTER 2 Linear Second-Order Equations 43
2.1 The Linear Second-Order Equation 43
2.2 The Constant Coefficient Case 50
2.3 The Nonhomogeneous Equation 55
2.3.1 Variation of Parameters 55
2.3.2 Undetermined Coefficients 57
2.3.3 The Principle of Superposition 60
2.4 Spring Motion 61
2.4.1 Unforced Motion 62
2.4.2 Forced Motion 66
2.4.3 Resonance 67
2.4.4 Beats 69
2.4.5 Analogy with an Electrical Circuit 70
2.5 Euler’s Differential Equation 72
CHAPTER 3 The Laplace Transform 77
3.1 Definition and Notation 77
3.2 Solution of Initial Value Problems 81
3.3 Shifting and the Heaviside Function 84

内容介绍：

本书介绍了工程技术中常用的数学工具，包括常微分方程，矢量分析，傅里叶分析，特殊函数，偏微分方程，复变函数等。

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.

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