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.
著者信息
作者简介
Peter V. O'Neil
现职:University of Alabama, Birmingham
图书目录
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