Integration in Finite Terms : : Liouville’S Theory of Elementary Methods /

Integration in Finite Terms : : Liouville’S Theory of Elementary Methods / / 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 th...

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Bibliographic Details
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
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Physical Description:1 online resource (102 p.)
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Table of Contents:
  • 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

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