The Heritage of Thales

The Heritage of Thales

Author: W.S. Anglin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 304

ISBN-13: 1461208033

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The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.


Book Synopsis The Heritage of Thales by : W.S. Anglin

Download or read book The Heritage of Thales written by W.S. Anglin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.

The Heritage of Thales

The Heritage of Thales

Author: W. S. Anglin

Publisher:

Published: 1995

Total Pages: 327

ISBN-13: 9787302214830

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Book Synopsis The Heritage of Thales by : W. S. Anglin

Download or read book The Heritage of Thales written by W. S. Anglin and published by . This book was released on 1995 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thales of Miletus

Thales of Miletus

Author: Patricia F. O'Grady

Publisher: Taylor & Francis

Published: 2017-03-02

Total Pages: 333

ISBN-13: 1351895370

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'What is the basic building block of the universe?' Thales of Miletus was the first to ask this fundamental, yet to be answered, question in the sixth century B.C. This book offers an in-depth account of the answers he gave and of his adventure into many areas of learning: philosophy, science, mathematics and astronomy. Thales proved that the events of nature were comprehensible to man and could be explained without the intervention of mythological beings. Henceforth they became subject to investigation, experiment, questioning and discussion. Presenting for the first time in the English language a comprehensive study of Thales of Miletus, Patricia O'Grady brings Thales out of pre-Socratic shadows into historical illumination and explores why this historical figure has proved to be of lasting significance.


Book Synopsis Thales of Miletus by : Patricia F. O'Grady

Download or read book Thales of Miletus written by Patricia F. O'Grady and published by Taylor & Francis. This book was released on 2017-03-02 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'What is the basic building block of the universe?' Thales of Miletus was the first to ask this fundamental, yet to be answered, question in the sixth century B.C. This book offers an in-depth account of the answers he gave and of his adventure into many areas of learning: philosophy, science, mathematics and astronomy. Thales proved that the events of nature were comprehensible to man and could be explained without the intervention of mythological beings. Henceforth they became subject to investigation, experiment, questioning and discussion. Presenting for the first time in the English language a comprehensive study of Thales of Miletus, Patricia O'Grady brings Thales out of pre-Socratic shadows into historical illumination and explores why this historical figure has proved to be of lasting significance.

Greek Philosophy

Greek Philosophy

Author: Burnet John

Publisher: Legare Street Press

Published: 2022-10-27

Total Pages: 0

ISBN-13: 9781016027809

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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 is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Book Synopsis Greek Philosophy by : Burnet John

Download or read book Greek Philosophy written by Burnet John and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A History of Greek Mathematics

A History of Greek Mathematics

Author: Sir Thomas Little Heath

Publisher: Courier Corporation

Published: 1981-01-01

Total Pages: 465

ISBN-13: 0486240738

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Volume 1 of an authoritative two-volume set that covers the essentials of mathematics and includes every landmark innovation and every important figure. This volume features Euclid, Apollonius, others.


Book Synopsis A History of Greek Mathematics by : Sir Thomas Little Heath

Download or read book A History of Greek Mathematics written by Sir Thomas Little Heath and published by Courier Corporation. This book was released on 1981-01-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 of an authoritative two-volume set that covers the essentials of mathematics and includes every landmark innovation and every important figure. This volume features Euclid, Apollonius, others.

Mathematics: A Concise History and Philosophy

Mathematics: A Concise History and Philosophy

Author: W.S. Anglin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 253

ISBN-13: 1461208750

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This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.


Book Synopsis Mathematics: A Concise History and Philosophy by : W.S. Anglin

Download or read book Mathematics: A Concise History and Philosophy written by W.S. Anglin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.

Early Greek Science

Early Greek Science

Author: G E R Lloyd

Publisher: Random House

Published: 2012-09-30

Total Pages: 149

ISBN-13: 1448156718

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In this new series leading classical scholars interpret afresh the ancient world for the modern reader. They stress those questions and institutions that most concern us today: the interplay between economic factors and politics, the struggle to find a balance between the state and the individual, the role of the intellectual. Most of the books in this series centre on the great focal periods, those of great literature and art: the world of Herodotus and the tragedians, Plato and Aristotle, Cicero and Caesar, Virgil, Horace and Tacitus. This study traces Greek science through the work of the Pythagoreans, the Presocratic natural philosophers, the Hippocratic writers, Plato, the fourth-century B.C. astronomers and Aristotle. G. E. R. Lloyd also investigates the relationships between science and philosophy and science and medicine; he discusses the social and economic setting of Greek science; he analyses the motives and incentives of the different groups of writers.


Book Synopsis Early Greek Science by : G E R Lloyd

Download or read book Early Greek Science written by G E R Lloyd and published by Random House. This book was released on 2012-09-30 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new series leading classical scholars interpret afresh the ancient world for the modern reader. They stress those questions and institutions that most concern us today: the interplay between economic factors and politics, the struggle to find a balance between the state and the individual, the role of the intellectual. Most of the books in this series centre on the great focal periods, those of great literature and art: the world of Herodotus and the tragedians, Plato and Aristotle, Cicero and Caesar, Virgil, Horace and Tacitus. This study traces Greek science through the work of the Pythagoreans, the Presocratic natural philosophers, the Hippocratic writers, Plato, the fourth-century B.C. astronomers and Aristotle. G. E. R. Lloyd also investigates the relationships between science and philosophy and science and medicine; he discusses the social and economic setting of Greek science; he analyses the motives and incentives of the different groups of writers.

Thales the Measurer

Thales the Measurer

Author: Livio Rossetti

Publisher: Taylor & Francis

Published: 2022-07-01

Total Pages: 234

ISBN-13: 1000601862

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Thales the Measurer offers a comprehensive and iconoclastic account of Thales of Miletus, considering the full extent of our evidence to build a new picture of his intellectual interests and activity. Thales is most commonly associated with the claim that ‘everything is water’, but closer examination of the evidence that we have suggests that he could not have said anything of the sort. His real interests, and his real innovations, lay in challenges of quantitative measurement, especially measurements related to the movement of the sun. In this he had no predecessors – and, for centuries to follow, no real successors either. This book is of interest for scholars in the history of philosophy, science, and life sciences. It is aimed especially at researchers in the field, but is also accessible to students and a more general readership.


Book Synopsis Thales the Measurer by : Livio Rossetti

Download or read book Thales the Measurer written by Livio Rossetti and published by Taylor & Francis. This book was released on 2022-07-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thales the Measurer offers a comprehensive and iconoclastic account of Thales of Miletus, considering the full extent of our evidence to build a new picture of his intellectual interests and activity. Thales is most commonly associated with the claim that ‘everything is water’, but closer examination of the evidence that we have suggests that he could not have said anything of the sort. His real interests, and his real innovations, lay in challenges of quantitative measurement, especially measurements related to the movement of the sun. In this he had no predecessors – and, for centuries to follow, no real successors either. This book is of interest for scholars in the history of philosophy, science, and life sciences. It is aimed especially at researchers in the field, but is also accessible to students and a more general readership.

A Short Account of the History of Mathematics

A Short Account of the History of Mathematics

Author: Walter William Rouse Ball

Publisher:

Published: 1908

Total Pages: 576

ISBN-13:

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Book Synopsis A Short Account of the History of Mathematics by : Walter William Rouse Ball

Download or read book A Short Account of the History of Mathematics written by Walter William Rouse Ball and published by . This book was released on 1908 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Excursions in Geometry

Excursions in Geometry

Author: Charles Stanley Ogilvy

Publisher: Courier Corporation

Published: 1990-01-01

Total Pages: 191

ISBN-13: 0486265307

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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.


Book Synopsis Excursions in Geometry by : Charles Stanley Ogilvy

Download or read book Excursions in Geometry written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1990-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.