Integration in Finite Terms : : Liouville’S Theory of Elementary Methods / / Joseph Fels Ritt.

• Superior document: Title is part of eBook package: De Gruyter Columbia University Press eBook-Package Archive 1898-1999
• VerfasserIn: Ritt, Joseph Fels,
• Place / Publishing House: New York, NY : : Columbia University Press, , [1948]; ©1948
• Year of Publication: 1948
• Language: English
• Physical Description: 1 online resource (102 p.)
• Other title: Frontmatter --; PREFACE --; CONTENTS --; Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE --; Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS --; Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS --; Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS --; Chapter V. SERIES OF FRACTIONAL POWERS --; Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES --; Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER --; Chapter VIII. FURTHER IMPLICIT PROBLEMS --; REFERENCES
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9780231884518; 9783110442489
• DOI: 10.7312/ritt91596
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Joseph Fels Ritt.

Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and the work of some of his followers.