Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Download or read book A New History of Greek Mathematics written by Reviel Netz and published by Cambridge University Press. This book was released on 2022-09-01 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ancient Greeks played a fundamental role in the history of mathematics and their ideas were reused and developed in subsequent periods all the way down to the scientific revolution and beyond. In this, the first complete history for a century. Reviel Netz offers a panoramic view of the rise and influence of Greek mathematics and its significance in world history. He explores the Near Eastern antecedents and the social and intellectual developments underlying the subject's beginnings in Greece in the fifth century BCE. He leads the reader through the proofs and arguments of key figures like Archytas, Euclid and Archimedes, and considers the totality of the Greek mathematical achievement which also includes, in addition to pure mathematics, such applied fields as optics, music, mechanics and, above all, astronomy. This is the story not only of a major historical development, but of some of the finest mathematics ever created.
Download or read book The Beginnings of Greek Mathematics written by A. Szabó and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: When this book was first published, more than five years ago, I added an appendix on How the Pythagoreans discovered Proposition 11.5 of the 'Elements'. I hoped that this appendix, although different in some ways from the rest of the book, would serve to illustrate the kind of research which needs to be undertaken, if we are to acquire a new understanding of the historical development of Greek mathematics. It should perhaps be mentioned that this book is not intended to be an introduction to Greek mathematics for the general reader; its aim is to bring the problems associated with the early history of deductive science to the attention of classical scholars, and historians and philos ophers of science. I should like to conclude by thanking my translator, Mr. A. M. Ungar, who worked hard to produce something more than a mechanical translation. Much of his work was carried out during the year which I spent at Stanford as a fellow of the Center for Advanced Study in the Behavioral Sciences. This enabled me to supervise the work of transla tion as it progressed. I am happy to express my gratitude to the Center for providing me with this opportunity. Arpad Szabo NOTE ON REFERENCES The following books are frequently referred to in the notes. Unless otherwise stated, the editions are those given below. Burkert, W. Weisheit und Wissensclzaft, Studien zu Pythagoras, Philo laos und Platon, Nuremberg 1962.
Download or read book The Shaping of Deduction in Greek Mathematics written by Reviel Netz and published by Cambridge University Press. This book was released on 2003-09-18 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.
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:
Download or read book A History of Greek Mathematics written by Thomas Little Heath and published by . This book was released on 1921 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: I. From Thales to Euclid.--II. From Aristarchus to Diophantus.
Download or read book Amazing Traces of a Babylonian Origin in Greek Mathematics written by Jran Friberg and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian “metric algebra,” a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tablets. The book's use of “metric algebra diagrams” in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract “lettered diagrams” in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The author's comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics.
Download or read book A Short History of Greek Mathematics written by James Gow and published by . This book was released on 1884 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science and Mathematics in Ancient Greek Culture written by Christopher Tuplin and published by . This book was released on 2002 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ancient Greece was the birthplace of science, which developed in the Hellenized culture of ancient Rome. This book, written by seventeen international experts, examines the role and achievement of science and mathematics in Greek antiquity through discussion of the linguistic, literary, political, religious, sociological, and technological factors which influenced scientific thought and practice.
Download or read book Greek Astronomy written by Thomas L. Heath and published by Cambridge University Press. This book was released on 2014-03-20 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1932, this collection of translated excerpts on ancient astronomy was prepared by Sir Thomas Little Heath (1861-1940).
Download or read book Greek Mathematical Philosophy written by Edward A. Maziarz and published by . This book was released on 1995 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classics in the History of Greek Mathematics written by Jean Christianidis and published by Springer Science & Business Media. This book was released on 2004-09-16 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.
Download or read book A History of Greek Mathematics Vol 1 written by Thomas Little Heath and published by Forgotten Books. This book was released on 2017-11-09 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A History of Greek Mathematics, Vol. 1: From Thales to Euclid The idea may seem quixotic, but it is nevertheless the author's confident hope that this book will give a fresh interest to the story of Greek mathematics in the eyes both of mathematicians and of classical scholars. For the mathematician the important consideration is that the foundations of mathematics and a great portion of its content are Greek. The Greeks laid down the first principles, invented the methods ab init'io, and fixed the terminology. Mathematics in short is a Greek science, whatever new developments modern analysis has brought or may bring. 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.
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 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics in Ancient Greece written by Tobias Dantzig and published by Courier Corporation. This book was released on 2012-10-02 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than a history of mathematics, this lively book traces mathematical ideas and processes to their sources, stressing the methods used by the masters of the ancient world. Author Tobias Dantzig portrays the human story behind mathematics, showing how flashes of insight in the minds of certain gifted individuals helped mathematics take enormous forward strides. Dantzig demonstrates how the Greeks organized their precursors' melange of geometric maxims into an elegantly abstract deductive system. He also explains the ways in which some of the famous mathematical brainteasers of antiquity led to the development of whole new branches of mathematics. A book that will both instruct and delight the mathematically minded, this volume is also a treat for readers interested in the history of science. Students and teachers of mathematics will particularly appreciate its unusual combination of human interest and sound scholarship.
Download or read book Ancient Mathematics written by Serafina Cuomo and published by Routledge. This book was released on 2005-08-19 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theorem of Pythagoras, Euclid's "Elements", Archimedes' method to find the volume of a sphere: all parts of the invaluable legacy of ancient mathematics. But ancient mathematics was also about counting and measuring, surveying land and attributing mystical significance to the number six. This volume offers the first accessible survey of the discipline in all its variety and diversity of practices. The period covered ranges from the fifth century BC to the sixth century AD, with the focus on the Mediterranean region. Topics include: * mathematics and politics in classical Greece * the formation of mathematical traditions * the self-image of mathematicians in the Graeco-Roman period * mathematics and Christianity * and the use of the mathematical past in late antiquity.
Download or read book Euclid s Elements in Greek written by Richard Fitzpatrick and published by Lulu.com. This book was released on 2006-03-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together with an English translation. For ease of use, the Greek text and the corresponding English text are on facing pages. Moreover, the figures are drawn with both Greek and English symbols. Finally, a helpful Greek/English lexicon explaining Ancient Greek mathematical jargon is appended. Volume II contains Books 5-9, and covers the fundamentals of proportion, similar figures, and number theory.
