Differential Equations: From Calculus to Dynamical Systems

See Mark Hunacek’s review of the first edition. The major change in the second edition is signaled by the change in the title: while the first edition was called Ordinary Differential Equations, this one is just Differential Equations. The reason is that two chapters on partial differential equations have been added to make the book usable for the two-semester course typically offered at engineering schools. The new chapters

...contain all of the standard material on second-order linear PDEs, including a section on Fourier series and a section on Sturm-Liouville boundary-value problems; there is also enough material on numerical solutions to make it possible for students to write their own simple programs to solve the type of nonlinear PDEs that appear, for example, in population biology problems. (p. ix)

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Fernando Q. Gouvêa is Carter Professor of Mathematics at Colby College. He was the editor of MAA Reviews until January 2019.