Nagle R.K., Saff E.B., Snider A.D. Fundamentals of Differential Equations

9th Edition. — Pearson Education, 2018. — 728 p. — ISBN: 9780321977069.An introduction to the basic theory and applications of differential equations.Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. For the first time, MyLab Math is available for this text, providing online homework with immediate feedback, the complete eText, and more.Note that a longer version of this text, entitled Fundamentals of Differential Equations and Boundary Value Problems, 7th Edition, contains enough material for a two-semester course. This longer text consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).First-Order Differential Equations
Mathematical Models and Numerical Methods Involving First-Order Equations
Linear Second-Order Equations
Introduction to Systems and Phase Plane Analysis
Theory of Higher-Order Linear Differential Equations
Laplace Transforms
Series Solutions of Differential Equations
Matrix Methods for Linear Systems
Partial Differential Equations
Appendices:
Review of Integration Techniques
Newton’s Method
Simpson’s Rule
Cramer’s Rule
Method of Least Squares
Runge-Kutta Procedure for n Equations
Software for Analyzing Differential Equations
Answers to Odd-Numbered Problems
Index (with direct page links)True PDF