Bibliographic Information

Ordinary linear equations

by Andrew Russell Forsyth

(Theory of differential equations, pt. 3)

Cambridge University Press, 2011

  • v. 4: pbk.

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Note

"First published 1902, first paperback edition 2011"--T.p. verso

Description and Table of Contents

Description

Andrew Russell Forsyth (1858-1942) was an influential Scottish mathematician notable for incorporating the advances of Continental mathematics within the British tradition. Originally published in 1902, this book constitutes the fourth of six volumes in Forsyth's Theory of Differential Equations series, concentrating specifically on ordinary linear equations. The text contains detailed information on the development of this area and substantial contributions made to it. All sources are quoted in their proper connection and a few fresh investigations are added. Examples are given, where necessary, in order to provide illustrations of various methods. This book will be of value to anyone with an interest in differential equations and the history of mathematics.

Table of Contents

  • 1. Linear equations: existence of synectic integrals: fundamental systems
  • 2. General form and properties of integrals near a singularity
  • 3. Regular equations: equation having all its integrals regular near a singularity
  • 4. Equations having their integrals regular in the vicinity of every singularity (including infinity)
  • 5. Linear equations of the second and the third orders possessing algebraic integrals
  • 6. Equations having only some of their integrals regular near a singularity
  • 7. Normal integrals: subnormal integrals
  • 8. Infinite determinants, and their application to the solution of linear equations
  • 9. Equations with uniform periodic coefficients
  • 10. Equations having algebraic coefficients
  • Index to Part III.

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Details

  • NCID
    BB10312747
  • ISBN
    • 9781107696815
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    xvi, 534 p.
  • Size
    22 cm
  • Parent Bibliography ID
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