This book contains an exposition and various applications of a mathematical theory of games. The theory has been developed by one of us since 1928 and is now published for the first time in its entirety. The applications are of two kinds: On the one hand to games in the proper sense, on the other […]

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 […]

Cope (1878) proposed the genus _Syrrhophus_ for a medium-sized leptodactylid frog from central Texas; in the ensuing 75 years the genus was expanded to include a heterogeneous group of frogs ranging from Texas to Peru. Taylor (1952) and Firschein (1954) limited the genus to several species of frogs occurring in Guatemala, México, and Texas. Lynch […]

The tadpoles of this species have been described by Bragg (Copeia, 1936: 14-20, figs. 1-13; Amer. Midl. Nat., 18:273-284, figs. 1-5, 1937). The drawings and descriptions of the mouthparts, however, appear to have been taken from dried, or immature, or transforming individuals, for they do not agree among themselves nor do they agree with larvae […]

Gaige (1926) described _Allophryne ruthveni_ as a new genus and species of diminutive bufonid from British Guiana. Noble (1931) considered _A. ruthveni_ to be a toothless relative of _Centrolenella_ and placed the genus in the Hylidae. Gallardo (1965) suggested that _Allophryne_ is a leptodactylid of uncertain affinities. Other references to the monotypic genus have consisted […]

The tree frogs of the _Hyla rubra_ group are abundant and form a conspicuous element of the Neotropical frog fauna. Representatives of the group occur from lowland México to Argentina; the greatest diversity is reached in the lowlands of southeastern Brazil (Cochran, 1955). The group apparently originated in South America; the endemic Central American species […]