ordinary differential equations dover books on mathematics

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Ordinary Differential Equations

Author : Morris Tenenbaum
ISBN : 9780486649405
Genre : Mathematics
File Size : 26. 52 MB
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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.

An Introduction To Ordinary Differential Equations

Author : Earl A. Coddington
ISBN : 9780486131832
Genre : Mathematics
File Size : 32. 31 MB
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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.

Ordinary Differential Equations

Author : Edward L. Ince
ISBN : 9780486158211
Genre : Mathematics
File Size : 57. 37 MB
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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.

The Qualitative Theory Of Ordinary Differential Equations

Author : Fred Brauer
ISBN : 9780486151519
Genre : Mathematics
File Size : 55. 3 MB
Format : PDF
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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.

Ordinary Differential Equations And Their Solutions

Author : George Moseley Murphy
ISBN : 9780486485911
Genre : Mathematics
File Size : 41. 80 MB
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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.

Ordinary Differential Equations And Stability Theory

Author : David A. Sánchez
ISBN : 9780486638287
Genre : Mathematics
File Size : 90. 13 MB
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Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

Ordinary Differential Equations

Author : Vladimir I. Arnold
ISBN : 3540548130
Genre : Mathematics
File Size : 78. 44 MB
Format : PDF
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Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW

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