Advanced Engineering Mathematics SI Edition (8 Ed.) | 誠品線上

Advanced Engineering Mathematics SI Edition (8 Ed.)

內容簡介

內容簡介 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.

作者介紹

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

產品目錄

產品目錄 PART I: ORDER DIFFERENTIAL EQUATIONSCh 1 First-Order Differential EquationsCh 2 Second-Order Differential EquationsCh 3 The Laplace TransformCh 4 Series SolutionsPART II: MATRICES AND LINEAR ALGEBRACh 5 Vectors and the Vector Space RnCh 6 Matrices, Determinants, and Linear SystemsCh 7 Eigenvalues, Diagonalization, and Special MatricesPART III: SYSTEMS OF DIFFERENTIAL EQUATIONSCh 8 Systems of Linear Differential EquationsCh 9 Nonlinear Systems and Qualitative AnalysisPART IV: VECTOR ANALYSISCh10 Vector Differential CalculusCh11 Vector Integral CalculusPART V: STURM-LIOUVILLE PROBLEMS, FOURIER ANALYSIS AND EIGENFUNCTION EXPANSIONSCh12 Sturm-Liouville Problems and Eigenfunction ExpansionsCh13 Fourier SeriesCh14 Fourier TransformsPART VI: PARTIAL DIFFERENTIAL EQUATIONSCh15 The Heat EquationCh16 The Wave EquationCh17 Laplace’s EquationCh18 Special Functions and ApplicationsCh19 Transform Methods of SolutionPART VII COMPLEX FUNCTIONSCh20 Complex Numbers and FunctionsCh21 IntegrationCh22 Series Representations of FunctionsCh23 Singularities and the Residue TheoremCh24 Conformal Mappings

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