euclid and his twentieth century rivals diagrams in the logic of euclidean geometry studies in the theory and applications of diagrams

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Euclid And His Twentieth Century Rivals

Author : Nathaniel Miller
ISBN : 1575865076
Genre : Mathematics
File Size : 22. 52 MB
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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. InEuclid and His Twentieth-Century Rivals, Nathaniel Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system. This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.

Diagrammatic Representation And Inference

Author : Mateja Jamnik
ISBN : 9783319423333
Genre : Computers
File Size : 33. 64 MB
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This book constitutes the refereed proceedings of the 9th InternationalConference on the Theory and Application of Diagrams, Diagrams 2016,held in Philadelphia, PA, USA, in August 2016. The 12 revised full papers and 11 short papers presented together with 5 posters were carefully reviewed and selected from 48 submissions. The papers are organized in the following topical sections: cognitive aspects of diagrams; logic and diagrams; Euler and Venn diagrams; diagrams and education; design principles for diagrams; diagrams layout.

The Contents Of The Fifth And Sixth Books Of Euclid

Author : M. J. M. HILL
ISBN : UOMDLP:acv0762:0001.001
Genre :
File Size : 77. 70 MB
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Euclid S Elements

Author : Euclid
ISBN : CORNELL:31924096124197
Genre : Mathematics
File Size : 55. 34 MB
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The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.

Euclidean And Non Euclidean Geometries

Author : Marvin J. Greenberg
ISBN : 0716724464
Genre : Mathematics
File Size : 44. 86 MB
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This classic text provides overview of both classic and hyperbolic geometries, placing the work of key mathematicians/ philosophers in historical context. Coverage includes geometric transformations, models of the hyperbolic planes, and pseudospheres.

Rigor And Structure

Author : John P. Burgess
ISBN : 9780198722229
Genre : Mathematics
File Size : 22. 16 MB
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John P. Burgess presents an illuminating study of the nature of mathematical rigour and of mathematical structure, and above all of the relation between them. He considers recent developments in the field including experimental mathematics and computerised formal proofs, and surveys many historical developments in mathematics, philosophy, and logic.

Diagrammatic Representation And Inference

Author : Dave Barker-Plummer
ISBN : 9783540356240
Genre : Computers
File Size : 56. 5 MB
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Proceedings of the 4th International Conference on Theory and Application of Diagrams, Stanford, CA, USA in June 2006. 13 revised full papers, 9 revised short papers, and 12 extended abstracts are presented together with 2 keynote papers and 2 tutorial papers. The papers are organized in topical sections on diagram comprehension by humans and machines, notations: history, design and formalization, diagrams and education, reasoning with diagrams by humans and machines, and psychological issues in comprehension, production and communication.

The Shaping Of Deduction In Greek Mathematics

Author : Reviel Netz
ISBN : 0521541204
Genre : History
File Size : 46. 93 MB
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An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.

A Book Of Abstract Algebra

Author : Charles C Pinter
ISBN : 9780486474175
Genre : Mathematics
File Size : 84. 48 MB
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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

The Britannica Guide To The History Of Mathematics

Author : Erik Gregersen
ISBN : 9781615301270
Genre : Juvenile Nonfiction
File Size : 46. 1 MB
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Traces the origins and development of arithmetic, geometry, trigonometry, analytic geometry, and calculus from the ancient civilizations to the present.

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