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Marcellliesz's lectures delivered on October 1957 -January 1958 at
the Uni versity of Maryland, College Park, have been previously
published only infor mally as a manuscript entitled CLIFFORD
NUMBERS AND SPINORS (Chap ters I - IV). As the title says, the
lecture notes consist of four Chapters I, II, III and IV. However,
in the preface of the lecture notes lliesz refers to Chapters V and
VI which he could not finish. Chapter VI is mentioned on pages 1,
3, 16, 38 and 156, which makes it plausible that lliesz was well
aware of what he was going to include in the final missing
chapters. The present book makes lliesz's classic lecture notes
generally available to a wider audience and tries somewhat to fill
in one of the last missing chapters. This book also tries to
evaluate lliesz's influence on the present research on Clifford
algebras and draws special attention to lliesz's contributions in
this field - often misunderstood."
Originally published in 1915 as number eighteen in the Cambridge
Tracts in Mathematics and Mathematical Physics series, and here
reissued in its 1952 reprinted form, this book contains a condensed
account of Dirichlet's Series, which relates to number theory. This
tract will be of value to anyone with an interest in the history of
mathematics or in the work of G. H. Hardy.
Marcel Riesz (1886-1969) was the younger of the famed pair of
mathematicians and brothers. Although Hungarian he spent most of
his professional life in Sweden. He worked on summability theory,
analytic functions, the moment problem, harmonic and functional
analysis, potential theory and the wave equation. The depth of his
research and the clarity of his writing place his work on the same
level as that of his brother Frederic Riesz. This edition of his
Collected Papers contains most of Marcel Riesz's published papers
with the exception of a few papers in Hungarian that were subsumed
into later books. It also includes a translation by J. Horvath of
Riesz's thesis on summable trigonometric series and summable power
series. They are thus a valuable reference work for libraries and
for researchers.
Marcellliesz's lectures delivered on October 1957 -January 1958 at
the Uni versity of Maryland, College Park, have been previously
published only infor mally as a manuscript entitled CLIFFORD
NUMBERS AND SPINORS (Chap ters I - IV). As the title says, the
lecture notes consist of four Chapters I, II, III and IV. However,
in the preface of the lecture notes lliesz refers to Chapters V and
VI which he could not finish. Chapter VI is mentioned on pages 1,
3, 16, 38 and 156, which makes it plausible that lliesz was well
aware of what he was going to include in the final missing
chapters. The present book makes lliesz's classic lecture notes
generally available to a wider audience and tries somewhat to fill
in one of the last missing chapters. This book also tries to
evaluate lliesz's influence on the present research on Clifford
algebras and draws special attention to lliesz's contributions in
this field - often misunderstood."
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