This is a best-selling introduction to differential equations, used in undergraduate classrooms across the country. Fully understandable to readers who have had one year of calculus, this book differentiates itself from other differential equations texts through its application of the subject matter to interesting scenarios. Highlights also include material on bifurcation theory, Sturm-Liouville boundary value problems and computer programs in C, Pascal and Fortran.
This is a best-selling introduction to differential equations, used in undergraduate classrooms across the country. Fully understandable to readers who have had one year of calculus, this book differentiates itself from other differential equations texts through its application of the subject matter to interesting scenarios. Highlights also include material on bifurcation theory, Sturm-Liouville boundary value problems and computer programs in C, Pascal and Fortran.
Martin Braun is Professor of Differential Equations at Queen's College, The City University of New York, USA.
Inhaltsangabe
Chapter 1 First-order differential equations Chapter 2 Second-order linear differential equations Chapter 3 Systems of differential equations Chapter 4 Qualitative theory of differential equations Chapter 5 Separation of variables and Fourier series Chapter 6 Sturm -Liouville boundary value problems Appendix A Some simple facts concerning functions of several variables Appendix B Sequences and series Appendix C C Programs Answers to odd-numbered exercises Index
Chapter 1 First-order differential equations * Chapter 2 Second-order linear differential equations * Chapter 3 Systems of differential equations * Chapter 4 Qualitative theory of differential equations * Chapter 5 Separation of variables and Fourier series * Chapter 6 Sturm -Liouville boundary value problems * Appendix A Some simple facts concerning functions of several variables * Appendix B Sequences and series * Appendix C C Programs * Answers to odd-numbered exercises * Index
Chapter 1 First-order differential equations Chapter 2 Second-order linear differential equations Chapter 3 Systems of differential equations Chapter 4 Qualitative theory of differential equations Chapter 5 Separation of variables and Fourier series Chapter 6 Sturm -Liouville boundary value problems Appendix A Some simple facts concerning functions of several variables Appendix B Sequences and series Appendix C C Programs Answers to odd-numbered exercises Index
Chapter 1 First-order differential equations * Chapter 2 Second-order linear differential equations * Chapter 3 Systems of differential equations * Chapter 4 Qualitative theory of differential equations * Chapter 5 Separation of variables and Fourier series * Chapter 6 Sturm -Liouville boundary value problems * Appendix A Some simple facts concerning functions of several variables * Appendix B Sequences and series * Appendix C C Programs * Answers to odd-numbered exercises * Index
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