Differential equations: theory, technique, and practice. /
George F. Simmons and Steven G. Krantz.
- New York, NY : McGraw-Hill Higher Education, c2007.
- x, 534 p. : ill. ; 24 cm.
- The Walter Rudin student series in advanced mathematics .
Includes bibliographical references (p. 495-496) and index.
Contents: What is a differential equation? -- Second-order linear equations -- Qualitative properties and theoretical aspects -- Power series solutions and special functions -- Fourier series: basic concepts -- Partial differential equations and boundary value problems -- Laplace transforms -- The Calculus of variations -- Numerical methods -- Systems of first-order equations -- The Nonlinear theory -- Dynamical systems.