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Advanced Engineering Mathematics with MATLAB Hardcover â€“ 29 December 1999
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Product details
 ASIN : 0534371647
 Publisher : CL Engineering; 2 edition (29 December 1999)
 Language : English
 Hardcover : 788 pages
 ISBN10 : 9780534371647
 ISBN13 : 9780534371647
 Dimensions : 19.69 x 3.81 x 24.77 cm
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1. INTRODUCTION Introduction to MATLAB(R) / MATLAB(R) Commands for Display and Plotting / Creating MATLAB(R) Programs / MATLAB(R) Programming Language / Problem Solving and Programming (Optional) / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 2. NUMBERS AND VECTORS Properties of Real Numbers / MATLAB(R) Computer Numbers (Optional) / Complex Numbers / Vectors in Two Dimensions and Three Dimensions / Vectors in Higher Dimensions / MATLAB(R) Vectors / Complex Vectors / Vector Spaces / Vector Spaces of Functions / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 3. MATRICES Basic Properties of Matrices / MATLAB(R) Matrix Operations / Square and Symmetric Matrices / Determinants and Matrix Inverses / Orthogonal and Triangular Matrices / Systems of Linear Equations / MATLAB(R) Matrix Functions / Linear Transformations / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 4. EIGENVALUES AND EIGENVECTORS General Discussion of Eigenvalues / Eigenvalues and Eigenvectors / Matrix Eigenvalue Theorems / Complex Vectors and Matrices / MATLAB(R) Commands for Eigenvectors / Matrix Calculus / Similar and Diagonalizable Matrices / Special Matrices and Their Eigenvalues (Optional) / Applications to Differential Equations / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 5. LINEAR DIFFERENTIAL EQUATIONS Classification of Differential Equations / Linear Differential Equations / Higher Order Differential Equations / Second Order Differential Equations / Particular Solutions of Differential Equations / Systems of Differential Equations / MATLAB(R) Solutions of Systems of Differential Equations / Homogeneous Systems with Repeated Eigenvalues / Nonhomogeneous Systems of Differential Equations / Transforming Differential Equations / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 6. ADVANCED DIFFERENTIAL EQUATIONS Functions and Differential Equations / Sequences and Series / Taylor Series / Numerical Methods for Differential Equations / Stiff Differential Equations / Vector Equations / Boundary Value Problems / Equations with Variable Coefficients / Bessel and Legendre Equations / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 7. APPROXIMATION OF FUNCTIONS Polynomial Interpolation / Interpolation by Spline Functions / LeastSquares Curve Fitting / Orthogonal Functions / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 8. FOURIER ANALYSIS Fourier Series / Properties of Fourier Series / Fourier Transforms / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 9. LAPLACE TRANSFORMS Definition and Properties of the Laplace Transform / Computation of Inverse Laplace Transforms / MATLAB(R) and Laplace Transforms / Applications to Differential Equations / Applications of Laplace Transforms to Linear Systems / Relationship of Fourier and Laplace Transforms / Summary of Laplace Transform Properties / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 10. DISCRETE SYSTEMS Introduction to the Sequences and Discrete Functions / Linear Difference Equations / Approximation to Differential Equations / Smoothing and Digital Filters / Introduction to zTransforms / MATLAB(R) Commands for Discrete Systems / zTransform Solution of Difference Equations / Applications of ztransforms to Linear Discrete Systems / Frequency Response and Fourier Analysis / Summary of ztransform Properties / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 11. THE DISCRETE FOURIER TRANSFORM AND THE FFT Frequency Analysis of Signals / Discrete and Fast Fourier Transforms / MATLAB(R) Fourier Commands / Practical Signal Analysis / Practical Signal Sampling and DFT Errors / Analysis of DFT for Computation (Optional) / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 12. ADVANCED CALCULUS Functions of Several Variables / Derivatives of a Multivariate Function / Differentials and Linear Approximation / TwoDimensional Taylor Series / MATLAB(R) TwoDimensional Interpolation / MATLAB(R) Differentiation / Extrema of RealValued Functions / Constrained Extrema and Lagrange Multipliers / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 13. VECTOR DIFFERENTIAL OPERATORS Vector and Scalar Fields / MATLAB(R) Commands for Vector Differential Calculus / Directional Derivatives and the Gradient / The Divergence / The Curl / The Laplacian and Laplace's Equation / Vector Field Theory / Physical Application and Interpretation / Curvilinear Coordinates / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 14. VECTOR INTEGRAL CALCULUS Integration / Applications of Single Integrals / Double and Triple Integrals / Change of Variables in Double Integrals / Change of Variables in Triple Integrals / Applications of Multiple Integrals / MATLAB(R) Commands for Integration / Line Integrals / Surface Integrals / Theorems of Vector Integral Calculus / Applications of Vector Field Theory / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers 15. PARTIAL DIFFERENTIAL EQUATIONS Introduction to Partial Differential Equations / Laplace's Equation / The Heat Equation / The Wave Equation / Reinforcement Exercises and Exploration Problems / Annotated Bibliography / Answers / INDEX / INDEX OF MATLAB(R) COMMANDS
About the Author
Dr. Thomas Harman is Professor and Chair of the Engineering Division at Rice University. He earned his B.S.E.E. with Honors from the University of Maryland in 1965 and his Ph.D. from Rice University in Electrical Engineering in 1972.
Dr. James B. Dabney is Assistant Professor of Systems Engineering at University of Houston  Clear Lake. He earned his B.S. in 1974 from Virginia Polytechnic Institute and State University, his M.S. in 1993 University of Houston  Clear Lake and his Ph.D. in 1998 Rice University.
Norman John Richert of the University of HoustonClear Lake.
Dr. James B. Dabney is Assistant Professor of Systems Engineering at University of Houston  Clear Lake. He earned his B.S. in 1974 from Virginia Polytechnic Institute and State University, his M.S. in 1993 University of Houston  Clear Lake and his Ph.D. in 1998 Rice University.
Norman John Richert of the University of HoustonClear Lake.
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Different version than posted.