The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of its foundations. The ...
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus - a person whose very existence has long been doubted by most historians of mathematics - will be ...
A leading critic of Polish literature, Artur Sandauer (1913-1989) takes a hard, at times painful, look at the critical role that Jews and individuals of 'Jewish descent' played as both creators and objects of literature and culture in twentieth-century Poland. Through an engaging series of essays, Sandauer analyses major figures in Polish ...
This is an examination of Bernhard Riemann's scientific work from a unifying perspective. His development of a conceptual approach to maths at a time when conventional algorithmic thinking dictated that formulas and figures were the only legitimate means of studying the subject is discussed.
This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean ...
For more than 20 years, this treasure of the Russian bio-physicist Michail W. Volkenstein was only available in Russian and will now be available for the first time as English translation. The book "Entropy and Information" deals with the thermodynamical concept of entropy and its relationship to information theory. This book is successful in ...
The familiar plane geometry of secondary school - figures composed of lines and circles - takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries. ...
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