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Ordinary Differential Equations

Edward L. Ince
Publisher: 
Dover Publications
Publication Date: 
1956
Number of Pages: 
558
Format: 
Paperback
Price: 
21.95
ISBN: 
0486603490
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

We do not plan to review this book.

 

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
 
 

 

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