Book:E.L. Ince/Ordinary Differential Equations

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E.L. Ince: Ordinary Differential Equations

Published $1926$, Longmans.


Subject Matter


Contents

Preface
Part I: Differential Equations in the Real Domain
Chapter I. Introductory
Chapter II. Elementary Methods of Integration
Chapter III. The Existence and Nature of Solutions of Ordinary Differential Equations
Chapter IV. Continuous Transformation Groups
Chapter V. The General Theory of Linear Differential Equations
Chapter VI. Linear Equations with Constant Coefficients
Chapter VII. The Solution of Linear Differential Equations in an Infinite Form
Chapter VIII. The Solution of Linear Differential Equations by Definite Integrals
Chapter IX. The Algebraic Theory of Linear Differential Equations
Chapter X. The Sturmian Theory and its Later Developments
Chapter XI. Further Developments in the Theory of Boundary Problems


Part II: Differential Equations in the Complex Domain
Chapter XII. Existence Theorems in the Complex Domain
Chapter XIII. Equations of the First Order but not of the First Degree
Chapter XIV. Non-Linear Equations of Higher Order
Chapter XV. Linear Equations in the Complex Domain
Chapter XVI. The Solution of Linear Differential Equations in Series
Chapter XVII. Equations with Irregular Singular Points
Chapter XVIII. The Solution of Linear Differential Equations by Methods of Contour Integration
Chapter XIX. Systems of Linear Equations of the First Order
Chapter XX. Classification of Linear Differential Equations of the Second Order with Rational Coefficients
Chapter XXI. Oscillation Theorems in the Complex Domain


Appendices
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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