Ordinary Differential Equations

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