
| PART1 Ordinary Differential Equations Chapter1 Firest-Order Differential Equations Chapter2 Second-Order Differential Equations Chapter3 The Laplace Transform Chapter4 Series Solutions PART2 Vectors and Linear Algbra Chapte5 Vectors and Vector Spaces Chapte6 Matrices and Systems of Linear Equations Chapte7 Determinants Chapte8 Eigenvalues, Diagonaliaztion, an Special Matrices PART3 Sysetems of Differential Equaions and Qualitative Methods Chapte9 Systems of Linear Differential Equations Chapte10 Qualitative Methods and Systems of Nonlinear Differential Equations PART4 Vector Analysis Chapte11 Vector Analysis Chapte12 Vector Differntial Calculus PART5 Fourier Analysis, Orthogonal Expansions, an Wavelets Chapte13 Fourier Series Chapte14 The Fourier Integral an Fourier Transforms Chapte15 Special Functions Equations PART6 Partial Differential Equations Chapte16 The Wave Equation Chapte17 The Heat Equation Chapte18 The Potential Equation Chapte19 Canonical Forms, Existence and Uniqueness of Soutions, an Well-Posed Problems PART7 Complex Analysis Chapte20 Geometry and Arithmetic of Complex Numbers Chapte21 Complex Functions Chapte22 Complex Integration Chapte23 Series Representations of Functions Chapte24 Singularities and the Residue Theorem Chapte25 Conformal Mappings PART8 Historical Notes Chapte26 Developmne of areas of mathematics Chapte27 Bigraphical Sketches Answers and Solutions to Selected Odd-Numbered Problems Index |
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