Advanced Engineering Mathematics, 8/e (SI Edition)(Custom Solutions)
暫譯: 高等工程數學，第8版（國際單位制版）（客製化解決方案）

Peter V. O'Neil

Advanced Engineering Mathematics, 8/e (SI Edition)(Custom Solutions)

買這商品的人也買了...

商品描述

1.Most Course Organizations: Seven distinctive parts clearly focus and differentiate the mathematical ideas and methods while giving you the flexibility to select the sections best suited for your course and student needs.
2.Detailed Examples Illustrate the Use of Notation and the Theory: The numerous examples clarify notation, theory and the underlying computations, followed by the numerical calculations themselves.
3.Specialized and Advanced Topics Added as Web Modules: In order to broaden coverage while keeping the length and cost of the book down, certain topics have been added as convenient web modules rather than appearing in the printed text. These modules include applications of complex analysis to the Dirichlet problem and to inverses of Laplace transforms, Lyapunov functions, the discrete Fourier transform, Maxwell’s equations, numerical methods for solving differential equations, LU factoring of matrices, limit cycles for systems of differential equations, and models of plane fluid flow.

商品描述(中文翻譯)

1. 大多數課程組織：七個獨特的部分清楚地聚焦並區分數學概念和方法，同時給予您靈活性以選擇最適合您的課程和學生需求的部分。

2. 詳細範例說明符號和理論的使用：眾多範例澄清了符號、理論及其背後的計算，隨後是數值計算本身。

3. 專業和進階主題作為網路模組新增：為了擴大涵蓋範圍，同時保持書籍的長度和成本，某些主題已作為方便的網路模組新增，而不是出現在印刷文本中。這些模組包括複雜分析在 Dirichlet 問題及拉普拉斯變換的反函數、Lyapunov 函數、離散傅立葉變換、麥克斯韋方程、解微分方程的數值方法、矩陣的 LU 分解、微分方程系統的極限週期，以及平面流體流動的模型。

作者簡介

作者：Peter V. O'Neil
現職：University of Alabama, Birmingham

作者簡介(中文翻譯)

作者：Peter V. O'Neil
現職：阿拉巴馬大學伯明翰校區

目錄大綱

PART I: ORDER DIFFERENTIAL EQUATIONS
Ch 1 First-Order Differential Equations
Ch 2 Second-Order Differential Equations
Ch 3 The Laplace Transform
Ch 4 Series Solutions

PART II: MATRICES AND LINEAR ALGEBRA
Ch 5 Vectors and the Vector Space Rn
Ch 6 Matrices, Determinants, and Linear Systems
Ch 7 Eigenvalues, Diagonalization, and Special Matrices

PART III: SYSTEMS OF DIFFERENTIAL EQUATIONS
Ch 8 Systems of Linear Differential Equations
Ch 9 Nonlinear Systems and Qualitative Analysis

PART IV: VECTOR ANALYSIS
Ch10 Vector Differential Calculus
Ch11 Vector Integral Calculus

PART V: STURM-LIOUVILLE PROBLEMS, FOURIER ANALYSIS AND EIGENFUNCTION EXPANSIONS
Ch12 Sturm-Liouville Problems and Eigenfunction Expansions
Ch13 Fourier Series
Ch14 Fourier Transforms

PART VI: PARTIAL DIFFERENTIAL EQUATIONS
Ch15 The Heat Equation
Ch16 The Wave Equation
Ch17 Laplace’s Equation
Ch18 Special Functions and Applications
Ch19 Transform Methods of Solution

PART VII COMPLEX FUNCTIONS
Ch20 Complex Numbers and Functions
Ch21 Integration
Ch22 Series Representations of Functions
Ch23 Singularities and the Residue Theorem
Ch24 Conformal Mappings

目錄大綱(中文翻譯)

PART I: ORDER DIFFERENTIAL EQUATIONS

Ch 1 First-Order Differential Equations

Ch 2 Second-Order Differential Equations

Ch 3 The Laplace Transform

Ch 4 Series Solutions



PART II: MATRICES AND LINEAR ALGEBRA

Ch 5 Vectors and the Vector Space Rn

Ch 6 Matrices, Determinants, and Linear Systems

Ch 7 Eigenvalues, Diagonalization, and Special Matrices



PART III: SYSTEMS OF DIFFERENTIAL EQUATIONS

Ch 8 Systems of Linear Differential Equations

Ch 9 Nonlinear Systems and Qualitative Analysis



PART IV: VECTOR ANALYSIS

Ch10 Vector Differential Calculus

Ch11 Vector Integral Calculus



PART V: STURM-LIOUVILLE PROBLEMS, FOURIER ANALYSIS AND EIGENFUNCTION EXPANSIONS

Ch12 Sturm-Liouville Problems and Eigenfunction Expansions

Ch13 Fourier Series

Ch14 Fourier Transforms



PART VI: PARTIAL DIFFERENTIAL EQUATIONS

Ch15 The Heat Equation

Ch16 The Wave Equation

Ch17 Laplace’s Equation

Ch18 Special Functions and Applications

Ch19 Transform Methods of Solution



PART VII COMPLEX FUNCTIONS

Ch20 Complex Numbers and Functions

Ch21 Integration

Ch22 Series Representations of Functions

Ch23 Singularities and the Residue Theorem

Ch24 Conformal Mappings

類似商品