|Differential Equations: A Concise Course |
by H. S. Bear
First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
|Differential Equations with Applications |
by Paul D. Ritger, Nicholas J. Rose
Coherent introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and differences between linear and nonlinear systems. Answers to most problems.
|A First Look at Perturbation Theory |
by James G. Simmonds, James E. Mann, Jr.
This introductory text explains methods for obtaining approximate solutions to mathematical problems by exploiting the presence of small, dimensionless parameters. For engineering and physical science undergraduates.
|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.
|Ordinary Differential Equations |
by Edward L. Ince
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; much more. "Highly recommended" — Electronics Industries.
|An Introduction to Ordinary Differential Equations |
by Earl A. Coddington
A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.
|A Second Course in Elementary Differential Equations |
by Paul Waltman
Focusing on applicable rather than applied mathematics, this text is appropriate for advanced undergraduates majoring in any discipline. The author emphasizes basic real analysis as well as differential equations. 1986 edition. Includes 39 figures.
|The Qualitative Theory of Ordinary Differential Equations: An Introduction |
by Fred Brauer, John A. Nohel
Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.
|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.
|Stability Theory of Differential Equations |
by Richard Bellman
Suitable for advanced undergraduates and graduate students, this text introduces the stability theory and asymptotic behavior of solutions of linear and nonlinear differential equations. 1953 edition.
|Asymptotic Expansions |
by A. Erdélyi
Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.
|Elements of Pure and Applied Mathematics |
by Harry Lass
This completely self-contained survey explores important topics in pure and applied mathematics. Each chapter can be read independently, and all are unified by cross-references to the complete work. 1957 edition.
|An Introduction to Differential Equations and Their Applications |
by Stanley J. Farlow
This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
|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.
|Applied Partial Differential Equations |
by Paul DuChateau, David Zachmann
Book focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included.
|Introduction to Partial Differential Equations with Applications |
by E. C. Zachmanoglou, Dale W. Thoe
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
|Partial Differential Equations: Sources and Solutions |
by Arthur David Snider
This newly updated text explores the solution of partial differential equations by separating variables, reviewing the tools for the technique, and examining the algorithmic nature of the process. 1999 edition.
|Partial Differential Equations for Scientists and Engineers |
by Stanley J. Farlow
Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.