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A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book is rounded off with an overview of the major conjectures, most of which are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.
This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory and analysis. Among the new topics included are, for example, polyhedral metric space, nearness matrix problems, distances between belief assignments, distance-related animal settings, diamond-cutting distances, natural units of length, Heidegger’s de-severance distance, and brain distances. The publication of this volume coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a c...
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
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An Independent Publisher Book Awards Gold Medal Winner A Progressive Book of the Year A TechCrunch Favorite Read of the Year “Deeply researched and thoughtful.” —Nature “An extended exercise in myth busting.” —Outside “A critique of both popular and scientific understandings of the hormone, and how they have been used to explain, or even defend, inequalities of power.” —The Observer Testosterone is a familiar villain, a ready culprit for everything from stock market crashes to the overrepresentation of men in prisons. But your testosterone level doesn’t actually predict your appetite for risk, sex drive, or athletic prowess. It isn’t the biological essence of manliness...
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This magnificent volume brings together essays from four different leading authorities, covering various aspects of Mazur's life and career, along with a comprehensive catalogue raisonne of his prints. 44 colour& 121 b/w illustrations