AEM_3e_Table_Of_Contents

# AEM_3e_Table_Of_Contents - 12 Orthogonal Functions and...

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Table of Contents Part I Ordinary Differential Equations 1 Introduction to Differential Equations 1 2 First-Order Differential Equations 8 3 Higher-Order Differential Equations 29 4 The Laplace Transform 57 5 Series Solutions of Linear Differential Equations 75 6 Numerical Solutions of Ordinary Differential Equations 95 Part II Vectors, Matrices, and Vector Calculus 7 Vectors 101 8 Matrices 113 9 Vector Calculus 137 Part III Systems of Differential Equations 10 Systems of Linear Differential Equations 177 11 Systems of Nonlinear Differential Equations 194 Part IV Fourier Series and Partial Differential Equations

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Unformatted text preview: 12 Orthogonal Functions and Fourier Series 205 13 Boundary-Value Problems in Rectangular Coordinates 220 14 Boundary-Value Problems in Other Coordinate Systems 244 15 Integral Trans±orm Method 255 16 Numerical Solutions o± Partial Diferential Equations 268 Part V Complex Analysis 17 Functions of a Complex Variable 276 18 Integration in the Complex Plane 285 19 Series and Residues 292 20 Conformal Mappings 301 Appendices Appendix II Gamma Function 310...
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