The present volume continues the theory of series begun in Volume II, and then proceeds to the theory of measurement. Geometry we have found it necessary to reserve for a separate final volume, In the theory of well-ordered series and compact series, we have followed Cantor closely, except in dealing with Zermelo’s theorem (#257 — […]

Principia Mathematica was first published in 19 1 0—13 ; this is the fifth impression of the second edition of 192^-7. The Principia has long been recognized as one of the intellectual landmarks of the century. It was the first book to show clearly the close relationship between mathematics and formal logic. Starting from a […]

Symmetry is one of the ideas by which man through the ages has tried to comprehend and create order, beauty, and perfection. Starting from the somewhat vague notion of symmetry = harmony of proportions, this book gradually develops first the geometric concept of symmetry in its several forms as bilateral, translator^, rotational, ornamental and crystallographic […]

“It was a perfectly ordinary night at Christ’s high table, except that Hardy was’ dining as a guest. He had just returned to Cambridge as Sadleirian professor, and I had heard some- thing of him from young Cambridge mathematicians. They were delighted to have him back: he was a real mathematician, they said, not like […]

[My father’s autobiographical recollections, given in the present chapter, were written for his children,–and written without any thought that they would ever be published. To many this may seem an impossibility; but those who knew my father will understand how it was not only possible, but natural. The autobiography bears the heading, ‘Recollections of the […]