Differential equations : Theory, technique and practice /
George F. Simmons and Steven G. Krantz.
- New York : McGraw Hill, 2007.
- x, 534 p.
- The Walter Rudin student series in advanced mathematics .
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.