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The Heritage Of Thales
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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 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.
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:
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 1994 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.
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.
Book Synopsis Greek Philosophy, Thales to Plato by : John Burnet
Download or read book Greek Philosophy, Thales to Plato written by John Burnet 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.
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 . This book was released on 1921 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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:
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.
Book Synopsis The Metaphysics of the Pythagorean Theorem by : Robert Hahn
Download or read book The Metaphysics of the Pythagorean Theorem written by Robert Hahn and published by State University of New York Press. This book was released on 2017-05-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Plato's Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahn's book will enrich the study of ancient philosophy and mathematics alike.
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.
Book Synopsis The History of Philosophy by : A. C. Grayling
Download or read book The History of Philosophy written by A. C. Grayling and published by Penguin UK. This book was released on 2019-06-20 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: AUTHORITATIVE AND ACCESSIBLE, THIS LANDMARK WORK IS THE FIRST SINGLE-VOLUME HISTORY OF PHILOSOPHY SHARED FOR DECADES 'A cerebrally enjoyable survey, written with great clarity and touches of wit' Sunday Times The story of philosophy is an epic tale: an exploration of the ideas, views and teachings of some of the most creative minds known to humanity. But there has been no comprehensive history of this great intellectual journey since 1945. Intelligible for students and eye-opening for philosophy readers, A. C. Grayling covers with characteristic clarity and elegance subjects like epistemology, metaphysics, ethics, logic, and the philosophy of mind, as well as the history of debates in these areas, through the ideas of celebrated philosophers as well as less well-known influential thinkers. The History of Philosophy takes the reader on a journey from the age of the Buddha, Confucius and Socrates. Through Christianity's dominance of the European mind to the Renaissance and Enlightenment. On to Mill, Nietzsche, Sartre, then the philosophical traditions of India, China and the Persian-Arabic world. And finally, into philosophy today.
Book Synopsis Gay and Lesbian Literary Heritage by : Claude J. Summers
Download or read book Gay and Lesbian Literary Heritage written by Claude J. Summers and published by Routledge. This book was released on 2014-02-25 with total page 1742 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised edition of The Gay and Lesbian Literary Heritage is a reader's companion to this impressive body of work. It provides overviews of gay and lesbian presence in a variety of literatures and historical periods; in-depth critical essays on major gay and lesbian authors in world literature; and briefer treatments of other topics and figures important in appreciating the rich and varied gay and lesbian literary traditions. Included are nearly 400 alphabetically arranged articles by more than 175 scholars from around the world. New articles in this volume feature authors such as Michael Cunningham, Tony Kushner, Anne Lister, Kate Millet, Jan Morris, Terrence McNally, and Sarah Waters; essays on topics such as Comedy of Manners and Autobiography; and overviews of Danish, Norwegian, Philippines, and Swedish literatures; as well as updated and revised articles and bibliographies.
Book Synopsis Analysis by Its History by : Ernst Hairer
Download or read book Analysis by Its History written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2008-06-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
Book Synopsis Inside Calculus by : George R. Exner
Download or read book Inside Calculus written by George R. Exner and published by Springer Science & Business Media. This book was released on 1999-12-22 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approach here relies on two beliefs. The first is that almost nobody fully understands calculus the first time around. The second is that graphing calculators can be used to simplify the theory of limits for students. This book presents the theoretical pieces of introductory calculus, using appropriate technology, in a style suitable to accompany almost any first calculus text. It offers a large range of increasingly sophisticated examples and problems to build an understanding of the notion of limit and other theoretical concepts. Aimed at students who will study fields in which the understanding of calculus as a tool is not sufficient, the text uses the "spiral approach" of teaching, returning again and again to difficult topics, anticipating such returns across the calculus courses in preparation for the first analysis course. Suitable as the "content" text for a transition to upper level mathematics course.
Book Synopsis Undergraduate Algebra by : Serge Lang
Download or read book Undergraduate Algebra written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group
Book Synopsis Introduction to Calculus and Classical Analysis by : Omar Hijab
Download or read book Introduction to Calculus and Classical Analysis written by Omar Hijab and published by Springer Science & Business Media. This book was released on 2007-04-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.
