Elementary Differential Equations With Boundary Value Problems

For courses in differential equations. This book, with enough material for 2 terms, provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics students take following calculus. This is a strongly algebraic-oriented text with some computer enhancements for numerical methods. Matters of definition, classification, and logical structure deserve (and receive here) careful attention for the first time in the mathematical experience of many of the students. While it is neither feasible nor desirable to include proofs of the fundamental existence and uniqueness theorems along the way in an elementary course, students need to see precise and clear-cut statements of these theorems, and understand their role in the subject. Appropriate existence and uniqueness proofs in the Appendix are included, and referred to where appropriate in the main body of the text.

Key Benefit:Anticipates and addresses the questions and difficulties that students typically encounter when they study standard elementary techniques of solution of differential equations and the mathematical modeling of real-world situations. Key Topics: Features computer-generated artwork to illustrate geometric aspects of differential equations; revised discussion of numerical methods; simple BASIC programs; and over 1800 computational drill problems and diverse applications to help explain first order differential equations, linear equations of higher order, nonlinear differential equations and systems, fourier series and separation of variables, Eigenvalues and boundary value problems. and more. Market: For sophomore/junior-level professors of differential equations.