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History of Mathematics
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  • 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.

  • 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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