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History of Mathematics
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  • Making up Numbers: A History of Invention in Mathematics

    The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries.

  • The Story of Euclid (W. B. Frankland)

    Euclid was a Greek mathematician, often referred to as the "Father of Geometry". His Elements is one of the most influential works in the history of mathematics, serving as the main textbook until the late 19th or early 20th century.

  • Non-Euclidean Geometry: A Critical and Historical Study

    This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible.

  • The Legacy of Felix Klein (Hans-Georg Weigand, et al)

    This open access book provides an overview of Felix Klein's ideas. It discusses the meaning, importance and the legacy of Klein's ideas today and in the future, within an international, global context.

  • Mathematical Discovery (A.M. Bruckner, et al)

    A course introducing the idea of mathematical discovery, especially to students who may not be particularly enthused about mathematics as yet, in which the students could actually participate in the discovery of mathematics.

  • Topological Groups: Yesterday, Today, Tomorrow (Sidney A. Morris)

    In 1900, David Hilbert asked whether each locally euclidean Topological Group admits a Lie group structure. This book should give the reader an overview of topological group theory as it developed over the last 115 years, as well as current research.

  • Analytic Number Theory: A Tribute to Gauss and Dirichlet

    The book begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet.

  • Euclid and His Twentieth Century Rivals (Nathaniel Miller)

    Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to the use of diagrams in proofs. It introduces a diagrammatic computer proof system, based on this formal system.

  • Mathematics in the Age of the Turing Machine (Thomas C. Hales)

    Computers have rapidly become so pervasive in mathematics that future generations may look back to this day as a golden dawn. The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.

  • Mathematical Omnibus: Thirty Lectures on Classic Mathematics

    This is an enjoyable book with suggested uses ranging from a text for a undergraduate Honors Mathematics Seminar to a coffee table book. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics.

  • Euclidean Plane and its Relatives: A Minimalist Introduction

    The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist. It promotes the art and the skills of developing logical proofs.

  • A Beautiful Math: John Nash, Game Theory, and a Code of Nature

    Today neuroscientists peer into game players brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks.

  • History of Mathematics

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