Euclid And His Twentieth Century Rivals
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Euclid And His Twentieth Century Rivals
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Author : Nathaniel Miller
language : en
Publisher: Center for the Study of Language and Information Publica Tion
Release Date : 2007
Euclid And His Twentieth Century Rivals written by Nathaniel Miller and has been published by Center for the Study of Language and Information Publica Tion this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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. In Euclid 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
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Author : Dave Barker-Plummer
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-22
Diagrammatic Representation And Inference written by Dave Barker-Plummer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-22 with Computers categories.
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.
Euclid And His Modern Rivals
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Author : Charles Lutwidge Dodgson
language : en
Publisher: DigiCat
Release Date : 2022-05-29
Euclid And His Modern Rivals written by Charles Lutwidge Dodgson and has been published by DigiCat this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-29 with Art categories.
Euclid and His Modern Rivals is a mathematical book by the British mathematician Charles Lutwidge Dodgson, known under his literary pseudonym "Lewis Carroll." The book evaluates the educational merits of thirteen contemporary geometry textbooks compared to Euclid's Elements. Caroll demonstrates that every of the presented geometry books of his time was inferior to or functionally identical to Wuclid's oeuvre.
Euclid And His Modern Rivals 1885
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Author : Charles Lutwidge Dodgson
language : en
Publisher:
Release Date : 2009-03
Euclid And His Modern Rivals 1885 written by Charles Lutwidge Dodgson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03 with Literary Collections categories.
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Episodes In Nineteenth And Twentieth Century Euclidean Geometry
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Author : Ross Honsberger
language : en
Publisher: Cambridge University Press
Release Date : 1995
Episodes In Nineteenth And Twentieth Century Euclidean Geometry written by Ross Honsberger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.
Euclid And His Modern Rivals
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Author : Lewis Carroll
language : en
Publisher: Courier Corporation
Release Date : 2014-03-05
Euclid And His Modern Rivals written by Lewis Carroll and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
The author of Alice in Wonderland (and an Oxford professor of mathematics) employs the fanciful format of a play set in Hell to take a hard look at late-19th-century interpretations of Euclidean geometry. Carroll's penetrating observations on geometry are accompanied by ample doses of his famous wit. 1885 edition.
The First Six Books Of The Elements Of Euclid
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Author : John Casey
language : en
Publisher:
Release Date : 2020-05-24
The First Six Books Of The Elements Of Euclid written by John Casey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-24 with categories.
(LARGE SIZE 8.5 X 11 INCH) EASY TO READ The Elements of Euclid is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.Euclid's Elements has been referred to as the most successful[ and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, with the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read.
The First Six Books Of The Elements Of Euclid
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Author : John Casey and Euclid
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-06-21
The First Six Books Of The Elements Of Euclid written by John Casey and Euclid and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-21 with categories.
The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, with the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read.
Shifting The Paradigm
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Author : Paolo C. Biondi
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-05-26
Shifting The Paradigm written by Paolo C. Biondi and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-26 with Philosophy categories.
Induction, which involves a leap from the particular to the universal, has always been a puzzling phenomenon for those attempting to investigate the origins of knowledge. Although traditionally accepted as the engine of first principles, the authority of inductive reasoning has been undermined in the modern age by empiricist criticisms that derive notably from Hume, who insisted that induction is an invalid line of reasoning that ends in unreliable future predictions. The present volume challenges this Humean orthodoxy. It begins with a thorough consideration of Hume’s original position and continues with a series of state-of-the-art essays that critique the received view while offering positive alternatives. The experts assembled here draw on a perennial historical tradition that stretches as far back as Socrates and extends through such luminaries as Aristotle, Aquinas, Whewell, Goethe, Lonergan, and Rescher. They inquire into the creative moment of intellectual insight that makes induction possible, consider relevant episodes from the history of science, advance scholarly exegeses of historical interpretations of inductive reasoning, and reflect critically on the scientific and logical ramifications of epistemological and metaphysical realism.
The First Six Books Of The Elements Of Euclid
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Author : Euclid
language : en
Publisher:
Release Date : 2021-11-24
The First Six Books Of The Elements Of Euclid written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-24 with categories.
The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing, with the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read.