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Download or read book Selections illustrating the history of Greek mathematics : in two volumes. 1. From Thales to Euclid written by and published by . This book was released on 1951 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.6/5 (912 download)
Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--
Download or read book Selections illustrating the history of Greek mathematics written by and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger L. Cooke
Publisher : John Wiley & Sons
ISBN 13 : 1118030249
Total Pages : 630 pages
Book Rating : 4.1/5 (18 download)
Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
Author : Jacques Brunschwig
Publisher : Harvard University Press
ISBN 13 : 9780674021563
Total Pages : 508 pages
Book Rating : 4.0/5 (215 download)
Download or read book A Guide to Greek Thought written by Jacques Brunschwig and published by Harvard University Press. This book was released on 2003 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The philosophers, historians and scientists of ancient Greece inaugurated and nourished the tradition of Western thought. This volume, drawn from the reference work Greek Thought: A Guide to Classical Knowledge, gives fresh insight into the originality of major figures and the legacy of important currents of thought. Aristotle, Democritus, Empedocles, Epicurus, Euclid, Galen, Heraclitus, Herodotus, Hippocrates, Parmenides, Plato, Plotinus, Plutarch, Polybius, Protagoras, Ptolemy, Pyrrhon, Socrates, Thucydides, Xenophon and Zeno. The currents of thoughts include: the Academy, Aristotelianism, cynicism, Hellenism and Christianity, Hellenism and Judaism, the Milesians, Platonism, Pythagoreanism, scepticism, Sophists and stoicism.
Author :
Publisher :
ISBN 13 :
Total Pages : 505 pages
Book Rating : 4.:/5 (84 download)
Download or read book Selections Illustrating the History of Greek Mathematics written by and published by . This book was released on 1957 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacques Brunschwig
Publisher : Harvard University Press
ISBN 13 : 9780674002616
Total Pages : 1084 pages
Book Rating : 4.0/5 (26 download)
Download or read book Greek Thought written by Jacques Brunschwig and published by Harvard University Press. This book was released on 2000 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt: In more than 60 essays by an international team of scholars, this volume explores the full breadth and reach of Greek thought, investigating what the Greeks knew as well as what they thought they knew, and what they believed, invented, and understood about the possibilities of knowing. 65 color illustrations. Maps.
Author : Joseph Mazur
Publisher : Penguin
ISBN 13 : 1440639639
Total Pages : 273 pages
Book Rating : 4.4/5 (46 download)
Download or read book Zeno's Paradox written by Joseph Mazur and published by Penguin. This book was released on 2008-03-25 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fascinating story of an ancient riddle and what it reveals about the nature of time and space Three millennia ago, the Greek philosopher Zeno constructed a series of logical paradoxes to prove that motion is impossible. Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.
Author : Glen M. Cooper
Publisher : Routledge
ISBN 13 : 135193502X
Total Pages : 633 pages
Book Rating : 4.3/5 (519 download)
Download or read book Galen, De diebus decretoriis, from Greek into Arabic written by Glen M. Cooper and published by Routledge. This book was released on 2017-03-02 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the first edition of the Arabic translation, by Hunayn ibn Ishaq, of Galen's Critical Days (De diebus decretoriis), together with the first translation of the text into a modern language. The substantial introduction contextualizes the treatise within the Greek and Arabic traditions. Galen's Critical Days was a founding text of astrological medicine. In febrile illnesses, the critical days are the days on which an especially severe pattern of symptoms, a crisis, was likely to occur. The crisis was thought to expel the disease-producing substances from the body. If its precise timing were known, the physician could prepare the patient so that the crisis would be most beneficial. After identifying the critical days based on empirical data and showing how to use them in therapy, Galen explains the critical days via the moon's influence. In the historical introduction Glen Cooper discusses the translation of the Critical Days in Arabic, and adumbrates its possible significance in the intellectual debates and political rivalries among the 9th-century Baghdad elite. It is argued that Galen originally composed the Critical Days both to confound the Skeptics of his own day and to refute a purely mathematical, rationalist approach to science. These features made the text useful in the rivalries between Baghdad scholars. Al-Kindi (d.c. 866) famously propounded a mathematical approach to science akin to the latter. The scholar-bureaucrat responsible for funding this translation, Muhammad ibn Musa (d. 873), al-Kindi's nemesis, may have found the treatise useful in refuting that approach. The commentary and notes to the facing page translation address issues of translation, as well as important concepts.
Author : Rosemary Desjardins
Publisher : SUNY Press
ISBN 13 : 9780887068386
Total Pages : 290 pages
Book Rating : 4.0/5 (683 download)
Download or read book The Rational Enterprise written by Rosemary Desjardins and published by SUNY Press. This book was released on 1990-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Desjardins conclusion, that the Theaetetus really does point to a particular theory of knowledge, certainly will be controversial, since for many people the idea that the Theaetetus fails to define knowledge is the cornerstone of their interpretation of Platos later philosophical thought. But whatever one thinks about the conclusion, it must be agreed that the manner in which it is defended is intrinsically important. Desjardins starts from the unassailable premise that the dialogues are internally unified, and that everything in the dialogues is there for a reason. Her method, then, is to show how some of the features of the dialogue that are usually not taken very seriously actually are very important. Of course, she is not the only scholar taking this sort of tack, but what she makes of the various elements of the Theaetetus is a most impressive construction.
Author : Ivor Bulmer-Thomas
Publisher : Legare Street Press
ISBN 13 : 9781018590165
Total Pages : 0 pages
Book Rating : 4.5/5 (91 download)
Download or read book Selections Illustrating the History of Greek Mathematics written by Ivor Bulmer-Thomas 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.
Author : Ivor Bulmer-Thomas
Publisher : Forgotten Books
ISBN 13 : 9780282625801
Total Pages : 536 pages
Book Rating : 4.6/5 (258 download)
Download or read book Selections Illustrating the History of Greek Mathematics, Vol. 1 of 2 written by Ivor Bulmer-Thomas and published by Forgotten Books. This book was released on 2017-07-27 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Selections Illustrating the History of Greek Mathematics, Vol. 1 of 2: From Thales to Euclid In a strictly logical arrangement the passages would, no doubt, be grouped wholly by subjects or by persons. But such an arrangement would not be satisfactory. I imagine that the average reader would like to see, for example, all the passages on the squaring of the circle together, but would also like to see the varied discoveries of Archimedes in a Single section. The arrangement here adopted is a compromise for which I must ask the reader's indulgence where he might himself have made a different grouping. The contributions of the Greeks to arithmetic, geometry, trigonometry, mensuration and algebra are noticed as fully as possible, but astronomy and music, though included by the Greeks under the name mathematics, have had to be almost wholly excluded. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Dirk Jan Struik
Publisher : Courier Corporation
ISBN 13 : 9780486602554
Total Pages : 260 pages
Book Rating : 4.6/5 (25 download)
Download or read book A Concise History of Mathematics written by Dirk Jan Struik and published by Courier Corporation. This book was released on 1967 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.
Author : Dirk J. Struik
Publisher : Courier Corporation
ISBN 13 : 0486138887
Total Pages : 260 pages
Book Rating : 4.4/5 (861 download)
Download or read book A Concise History of Mathematics written by Dirk J. Struik and published by Courier Corporation. This book was released on 2012-06-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating. Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
Author : Alex Citkin
Publisher : Springer Nature
ISBN 13 : 3031068432
Total Pages : 319 pages
Book Rating : 4.0/5 (31 download)
Download or read book V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics written by Alex Citkin and published by Springer Nature. This book was released on 2022-11-08 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics.
Author : Joseph Mazur
Publisher : Penguin
ISBN 13 : 1440649650
Total Pages : 270 pages
Book Rating : 4.4/5 (46 download)
Download or read book The Motion Paradox written by Joseph Mazur and published by Penguin. This book was released on 2007-04-19 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The epic tale of an ancient, unsolved puzzle and how it relates to all scientific attempts to explain the basic structure of the universe At the dawn of science the ancient Greek philosopher Zeno formulated his paradox of motion, and amazingly, it is still on the cutting edge of all investigations into the fabric of reality. Zeno used logic to argue that motion is impossible, and at the heart of his maddening puzzle is the nature of space and time. Is space-time continuous or broken up like a string of beads? Over the past two millennia, many of our greatest minds—including Aristotle, Galileo, Newton, Einstein, Stephen Hawking, and other current theoreticians—have been gripped by the mystery this puzzle represents. Joseph Mazur, acclaimed author of Euclid in the Rainforest, shows how historic breakthroughs in our understanding of motion shed light on Zeno’s paradox. The orbits of the planets were explained, the laws of motion were revealed, the theory of relativity was discovered—but the basic structure of time and space remained elusive. In the tradition of Fermat’s Enigma and Zero, The Motion Paradox is a lively history of this apparently simple puzzle whose solution—if indeed it can be solved—will reveal nothing less than the fundamental nature of reality.
Author : Amos Funkenstein
Publisher : Princeton University Press
ISBN 13 : 0691184267
Total Pages : 442 pages
Book Rating : 4.6/5 (911 download)
Download or read book Theology and the Scientific Imagination written by Amos Funkenstein and published by Princeton University Press. This book was released on 2018-11-13 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theology and the Scientific Imagination is a pioneering work of intellectual history that transformed our understanding of the relationship between Christian theology and the development of science. Distinguished scholar Amos Funkenstein explores the metaphysical foundations of modern science and shows how, by the 1600s, theological and scientific thinking had become almost one. Major figures like Descartes, Leibniz, Newton, and others developed an unprecedented secular theology whose debt to medieval and scholastic thought shaped the trajectory of the scientific revolution. The book ends with Funkenstein’s influential analysis of the seventeenth century’s “unprecedented fusion” of scientific and religious language. Featuring a new foreword, Theology and the Scientific Imagination is a pathbreaking and classic work that remains a fundamental resource for historians and philosophers of science.
