ELEMENTARY DIFFERENTIAL EQUATIONS (Hardcover)

Preface; 1 Some Prerequisite Topics; I First Order Scalar Differential Equations, Methods; 2 The Idea Of A Differential Equation; 3 Homogeneous Linear Equations; 4 Nonhomogeneous Equations; 5 Laplace Transform Methods; III Series Methods For Scalar; 6 Power Series; 7 Power Series Methods; IV First Order Linear Systems; 8 First Order Systems Of Differential Equations, Theory; 9 Methods For First Order Systems; V Partial Differential Equations; 10 Boundary Value Problems And Fourier Series; 11 Some Famous Partial Differential Equations; VI Non-linear Systems Of O.D.E.; 12 Theory Of Ordinary Differential Equations; 13 Equilibrium Points And Limit Cycles; 14 The Center Manifold; Appendix A: Calculus Review 381; Appendix B Series, Appendix C Review Of Linear Algebra; Appendix D Theory Of Functions Of Many Variables; Appendix E Spectral Theory; Appendix F Linear Transformations; Appendix G Implicit Function Theorem; Appendix H The Jordan Curve Theorem; Bibliography; Index