Ordinary Differential Equations Books

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Ordinary Differential Equations


Ordinary Differential Equations
  • Author : Vladimir I. Arnold
  • Publisher : Springer Science & Business Media
  • Release : 1992-05-08
  • ISBN : 3540548130
  • Language : En, Es, Fr & De
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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

Ordinary Differential Equations


Ordinary Differential Equations
  • Author : Morris Tenenbaum
  • Publisher : Courier Corporation
  • Release : 1963
  • ISBN : 9780486649405
  • Language : En, Es, Fr & De
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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.

Ordinary Differential Equations


Ordinary Differential Equations
  • Author : Philip Hartman
  • Publisher : SIAM
  • Release : 2002-01-01
  • ISBN : 9780898715101
  • Language : En, Es, Fr & De
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Covers the fundamentals of the theory of ordinary differential equations.

Ordinary Differential Equations


Ordinary Differential Equations
  • Author : Jack K. Hale
  • Publisher : Courier Corporation
  • Release : 2009-01-01
  • ISBN : 9780486472119
  • Language : En, Es, Fr & De
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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.

INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION


INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION
  • Author : V. DHARMAIAH
  • Publisher : PHI Learning Pvt. Ltd.
  • Release : 2012-09-19
  • ISBN : 9788120346666
  • Language : En, Es, Fr & De
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This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the Sturm–Liouville problem, Green’s function, the Picard’s theorem, and the Sturm–Picone theorem. The text is supported by a number of worked-out examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations. The book is intended to serve as a text for the postgraduate students of mathematics and applied mathematics. It will also be useful to the candidates preparing to sit for the competitive examinations such as NET and GATE.