Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the theory of boundary problems; existence theorems, equations of first order; nonlinear equations of higher order; more. "Highly recommended" — Electronics Industries.
Here's a sample of other books in this Dover category
A Treatise on Differential Equations by A. R. Forsyth Sixth edition (1928) of the 19th-century classic covers differential equations of the 1st order, general linear equations with constant coefficients, integration in series, much more. Over 800 examples.
Ordinary Differential Equations in the Complex Domain by Einar Hille Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.
Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson This accessible introduction offers the keys to an important technique in computational mathematics. It outlines clear connections with applications and considers numerous examples from a variety of specialties. 1987 edition.
Ordinary Differential Equations by Richard K. Miller, Anthony N. Michel Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, this self-contained treatment is appropriate for courses in nonlinear system analysis. "A welcome addition." — IEEE Control Systems Magazine. 1982 edition.
Ordinary Differential Equations by Jack K. Hale This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.
Existence Theorems for Ordinary Differential Equations by Francis J. Murray, Kenneth S. Miller This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.
Algebraic Theories by Leonard Dickson This in-depth introduction to classical topics in higher algebra provides rigorous, detailed proofs for its explorations of some of mathematics' most significant concepts, including matrices, invariants, and groups. 1926 edition.
