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Now you can make rigorous mathematical topics accessible to your students by emphasizing visuals, numerous examples, and interesting mathematical models with O'Neil’s Advanced Engineering Mathematics. New "Math in Context" broadens the engineering connections for your students by clearly demonstrating how mathematical concepts are applied to current engineering problems. You have the flexibility to select additional topics that are best for your individual course.
作者簡介
Peter V. O'Neil
現職：University of Alabama, Birmingham
PART I: ORDINARY DIFFERENTIAL EQUATIONS
Ch 1 First-Order Differential Equations
Ch 2 Second-Order Differential Equations
Ch 3 The Laplace Transform
Ch 4 Sturm-Liouville Problems and Eigenfunction Expansions
PART II: PARTIAL DIFFERENTIAL EQUATIONS
Ch 5 The Heat Equation
Ch 6 The Wave Equation
Ch 7 Laplace’s Equation
Ch 8 Special Functions and Applications
Ch 9 Transform Methods of Solution
PART III: MATRICES AND LINEAR ALGEBRA
Ch10 Vectors and the Vector Space Rn
Ch11 Matrices, Determinants, and Linear Systems
Ch12 Eigenvalues, Diagonalization, and Special Matrices
PART IV: SYSTEMS DIFFERENTIAL EQUATIONS
Ch13 Systems of Linear Differential Equations
Ch14 Nonlinear Systems and Qualitative Analysis
PART V: VECTOR ANALYSIS
Ch15 Vector Differential Calculus
Ch16 Vector Integral Calculus
PART VI: FOURIER ANALYSIS
Ch17 Fourier Series
Ch18 Fourier Transforms
Ch19 Complex Numbers and Functions
Ch20 Integration
Ch21 Series Representations of Functions
Ch22 Singularities and the Residue theorem
Ch23 Conformal Mappings
