TY  - BOOK
AU  - David Logan,J.
ED  - SpringerLink (Online service)
TI  - A First Course in Differential Equations
T2  - Undergraduate Texts in Mathematics,
SN  - 9780387299303
AV  - QA372 
U1  - 515.352 23
PY  - 2006///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Matrix theory
KW  - Algebra
KW  - Differential equations
KW  - Partial differential equations
KW  - Ordinary Differential Equations
KW  - Linear and Multilinear Algebras, Matrix Theory
KW  - Partial Differential Equations
N1  - Preface -- Differential Equations and Models -- Analytic Solutions and Approximations.-Second-Order Differential Equations -- Laplace Transforms -- Linear Systems -- Nonlinear Systems -- Appendix A: References -- Appendix B: A Brief on MATLAB -- Appendix C: Maple Commands -- Appendix D: Sample Examinations -- Appendix E: Solutions to Selected Exercises
N2  - This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations
UR  - http://dx.doi.org/10.1007/0-387-29930-0
ER  -