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Inversive Geometry
This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.
Geometry Revisited
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Chases and Escapes
We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.
Classical Algebraic Geometry
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
Algebra of Quantics
None
Wordsworth's Reading 1800-1815
A comprehensive 1996 listing of authors and books read by William Wordsworth during the years of his greatest poetry.
The American Mathematical Monthly
Includes section "Recent publications."
The Life of Ezra Pound
First published in 1970, this is a detailed and balanced biography of one of the most controversial literary figures of the twentieth century. Ezra Pound, an American who left home for Venice and London at the age of twenty-three, was a leading member of ‘the modern movement’, a friend and helper of Joyce, Eliot, Yeats, Hemingway, an early supporter of Lawrence and Frost. As a critic of modern society his far-reaching and controversial theories on politics, economics and religion led him to broadcast over Rome Radio during the Second World War, after which he was indicted for treason but declared insane by an American court. He then spent more than twelve years in St Elizabeth’s Hospital for the Criminally Insane in Washington, D.C. In 1958 the changes against him were dropped and he returned to Italy where he had lived between 1924 and 1945.
