Advanced Engineering Mathematics, 8/e (SI Edition)(Custom Solutions)
Peter V. O'Neil
- 出版商: Cengage Learning
- 出版日期: 2018-01-01
- 定價: $1,420
- 售價: 9.8 折 $1,392
- 語言: 英文
- 頁數: 845
- ISBN: 957928203X
- ISBN-13: 9789579282031
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相關分類:
工程數學 Engineering-mathematics
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相關翻譯:
高等工程數學 (O'Neil, 8/e)(SI Edition) (繁中版)
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相關主題
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：七個不同的部分明確地聚焦和區分數學思想和方法，同時給予您選擇最適合您課程和學生需求的部分的靈活性。
2. 詳細的例子說明符號和理論的使用：眾多的例子澄清了符號、理論和底層計算，接著是數值計算本身。
3. 專業和高級主題作為網絡模塊添加：為了擴大覆蓋範圍，同時保持書籍的長度和成本，某些主題被添加為方便的網絡模塊，而不是出現在印刷文本中。這些模塊包括將復分析應用於迪利克雷問題和拉普拉斯變換的反函數、李雅普諾夫函數、離散傅立葉變換、麥克斯韋方程組、求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和平面流體流動模型。
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：阿拉巴馬大學伯明罕分校
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)
第一部分：常微分方程
第1章：一階常微分方程
第2章：二階常微分方程
第3章：拉普拉斯變換
第4章：級數解
第二部分：矩陣和線性代數
第5章：向量和向量空間Rn
第6章：矩陣、行列式和線性系統
第7章：特徵值、對角化和特殊矩陣
第三部分：常微分方程系統
第8章：線性常微分方程系統
第9章：非線性系統和定性分析
第四部分：向量分析
第10章：向量微分計算
第11章：向量積分計算
第五部分：斯特姆-李維爾問題、傅立葉分析和特徵函數展開
第12章：斯特姆-李維爾問題和特徵函數展開
第13章：傅立葉級數
第14章：傅立葉變換
第六部分：偏微分方程
第15章：熱方程
第16章：波動方程
第17章：拉普拉斯方程
第18章：特殊函數和應用
第19章：變換解法
第七部分：複數函數
第20章：複數和函數
第21章：積分
第22章：函數的級數表示
第23章：奇異點和殘餘定理
第24章：保角映射
