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Ordinary Differential Equations

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Ordinary Differential Equations Cover

 

Synopses & Reviews

Publisher Comments:

The theory of ordinary differential equations in real and complex domains is here clearly explained and analyzed. Not only classical theory, but also the main developments of modern times are covered. Exhaustive sections on the existence and nature of solutions, continuous transformation groups, the algebraic theory of linear differential systems, and the solution of differential equations by contour integration are as valuable to the pure mathematician as the fine treatment of the equations of Legendre, Bessel, and Mathieu, the conditions for the oscillatory character of solutions of a differential equation, and the relation between a linear differential system and an integral equation are to the engineer and the physicist.

Partial contents: real domain (elementary methods of integration, the existence and nature of solutions, continuous transformation-groups, linear differential equations-the general theory, with constant coefficients, solutions, algebraic theory, Sturmian theory, and later developments); complex domain (existence theorems, equations of first order, non-linear equations of higher order, solutions, systems, classifications of linear equations, oscillation theorems).

"Highly recommended." — Electronics Industries.

"Deserves the highest praise." — Bulletin, American Mathematical Society.

Synopsis:

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.

Synopsis:

Explains and analyzes theory of ordinary differential equations in real and complex domains. "Highly recommended,"--"Electronics Industries."

Synopsis:

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.

Table of Contents

Part I. Differential Equations in the Real Domain

  I. Introduction

  II. Elementary Methods of Integration

  III. The Existence and Nature of Solutions of Ordinary Differential Equations

  IV. Continuous Transformation-Groups

  V. The General Theory of Linear Differential Equations

  VI. Linear Equations with Constant Coefficients

  VII. The Solution of Linear Differential Equations in an Infinite Form

  VIII. The Solution of Linear Differential Equations by Definite Integrals

  IX. The Algebraic Theory of Linear Differential Systems

  X. The Sturmian Theory and its Later Developments

  XI. Further Developments in the Theory of Boundary Problems

Part II. Differential Equations in the Complex Domain

  XII. Existence Theorems in the Complex Domain

  XIII. Equations of the First Order But Not of the First Degree

  XIV. Non-Linear Equations of Higher Order

  XV. Linear Equations in the Complex Domain

  XVI. The Solution of Linear Differential Equations in Series

  XVII. Equations with Irregular Singular Points

  XVIII. The Solution of Linear Differential Equations by Methods of Contour Integration

  XIX. Systems of Linear Equations of the First Order

  XX. Classification of Linear Differential Equations of the Second Order with Rational Coefficients

  XXI. Oscillation Theorems in the Complex Domain

Appendix A. Historical Note on Formal Methods of Integration

Appendix B. Numerical Integration of Ordinary Differential Equations

Appendix C. List of Journals Quoted in Footnotes to the Text

Appendix D. Bibliography

  Index of Authors; General index

Product Details

ISBN:
9780486603490
Author:
Ince, Edward Lindsay
Publisher:
Dover Publications
Author:
Ince, Edward Lindsay
Author:
Ince, Edward L.
Author:
Mathematics
Subject:
Mathematics
Subject:
Calculus
Subject:
Differential Equations
Subject:
General Mathematics
Subject:
Mathematics-Calculus
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
19560631
Binding:
TRADE PAPER
Language:
English
Pages:
558
Dimensions:
8.5 x 5.38 in 1.43 lb

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Related Subjects

Humanities » Philosophy » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General

Ordinary Differential Equations Used Trade Paper
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Product details 558 pages Dover Publications - English 9780486603490 Reviews:
"Synopsis" by ,
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.

"Synopsis" by , Explains and analyzes theory of ordinary differential equations in real and complex domains. "Highly recommended,"--"Electronics Industries."

"Synopsis" by ,
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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