Ordinary Differential Equations

An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences

Author: Morris Tenenbaum,Harry Pollard

Publisher: Courier Corporation

ISBN: 0486649407

Category: Mathematics

Page: 808

View: 6611

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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
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Lectures on Ordinary Differential Equations

Author: Witold Hurewicz

Publisher: Courier Corporation

ISBN: 048679721X

Category: Mathematics

Page: 144

View: 6091

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Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.
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The Qualitative Theory of Ordinary Differential Equations

An Introduction

Author: Fred Brauer,John A. Nohel

Publisher: Courier Corporation

ISBN: 0486151514

Category: Mathematics

Page: 320

View: 8152

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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.
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Ordinary Differential Equations

Author: Jack K. Hale

Publisher: Courier Corporation

ISBN: 0486472116

Category: Mathematics

Page: 361

View: 6437

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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.
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An Introduction to Ordinary Differential Equations

Author: Earl A. Coddington

Publisher: Courier Corporation

ISBN: 0486131831

Category: Mathematics

Page: 320

View: 4724

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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.
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Ordinary Differential Equations

Author: Edward L. Ince

Publisher: Courier Corporation

ISBN: 0486158217

Category: Mathematics

Page: 576

View: 5128

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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.
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Ordinary Differential Equations in the Complex Domain

Author: Einar Hille

Publisher: Courier Corporation

ISBN: 9780486696201

Category: Mathematics

Page: 484

View: 8524

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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.
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Ordinary Differential Equations and Stability Theory:

Author: David A. Sanchez

Publisher: Courier Dover Publications

ISBN: 0486837599

Category: Mathematics

Page: 176

View: 9979

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This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations. The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.
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Ordinary Differential Equations and Their Solutions

Author: George Moseley Murphy

Publisher: Courier Corporation

ISBN: 0486485919

Category: Mathematics

Page: 451

View: 1328

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This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.
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Ordinary Differential Equations

Author: Richard K. Miller,Anthony N. Michel

Publisher: Courier Corporation

ISBN: 048646248X

Category: Mathematics

Page: 351

View: 3068

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Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, this self-contained treatment is appropriate for a course in nonlinear system analysis. Its highlight is a scholarly treatment of the stability of dynamical systems, including the absolute stability problem. Acclaimed by IEEE Control Systems Magazine as "a welcome addition" to books in the field of nonlinear control systems, the text opens with the modeling of a number of electrical, mechanical, and electromechanical systems, which provide the setting for later analysis. Subsequent chapters review results regarding the existence and uniqueness of solutions of ordinary differential equations; matrix analysis of the linear system of differential equations; and boundary value problems. The rest of the book is devoted chiefly to the stability of nonlinear systems, including issues of stability related to perturbations; periodic solutions of two-dimensional systems and the Poincaré-Bendixson theorem; and the stability of the equilibrium point. Each chapter is complemented with a series of well-chosen problems.
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