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Table of Content | Part I: ORDINARY DIFFERENTIAL EQUATIONS 1. First-Order Differential Equations 2. Linear Second-Order Equations 3. The Laplace Transform 4. Series Solutions Part II: VECTORS, LINEAR ALGEBRA, AND SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS. 5. Algebra and Geometry of Vectors 6. Matrices and Systems of Linear Equations 7. Determinants 8. Eigenvalues and Diagonalization 9. Systems of Linear Differential Equations Part III: VECTOR ANALYSIS 10. Vector Differential Calculus 11. Vector Integral Calculus Part IV: FOURIER ANALYSIS AND EIGENFUNCTION EXPANSIONS 12. Fourier Series 13. The Fourier Integral and Transforms 14 Eigenfunction Expansions Part V: PARTIAL DIFFERENTIAL EQUATIONS 15. The Wave Equation 16. The Heat Equation 17. The Potential Equation |
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