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Education General

Trigonometric Series

A Survey

by (author) Ralph Jeffery

Publisher
University of Toronto Press
Initial publish date
Dec 2018
Category
General, General, History & Philosophy
  • eBook

    ISBN
    9781487599959
    Publish Date
    Dec 2018
    List Price
    $22.95

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Description

A survey of some of the main-line developments in trigonometric series. It is an extension of a Presidential address to Section III of the Royal Society of Canada. Part I deals briefly, in chronological order, with the mathematical problems that arose out of trigonometric series and the interactions between these problems and general mathematical analysis. There is mention of the contributions of Euler, Daniel Bernoulli, d'Alembert, Fourier, Lagrange, Dirichlet. This is followed by a description of some of the problems still open at the end of the period covered by these men, and a description of the way these problems were later solved by Denjoy, by Zygmund and Marcinkiewicz, by Burkill and by James. Part II gives complete proofs of the results of the earlier period outlined in Part I, and concludes with the essential details of the approach of Denjoy and of James.

 

Canadian Mathematical Congress Lecture Series, No. 2.

About the author

Ralph L. Jeffery (1889-1975) was the head of the Mathematics Department at Queen's University for 18 years until his retirement in 1960.

Ralph Jeffery's profile page

Other titles by Ralph Jeffery