Author: Thomas Little HeathPublisher: Dalcassian Publishing Company
ISBN:
Category :
Languages : en
Pages : 468
Book Description
A History of Greek Mathematics: From Aristarchus to Diophantus
Author: Thomas HeathPublisher: Courier Corporation
ISBN: 0486240746
Category : Mathematics
Languages : en
Pages : 605
Book Description
Volume 2 of an authoritative two-volume set that covers the essentials of mathematics and features every landmark innovation and every important figure, including Euclid, Apollonius, and others.
Greek Mathematical Thought and the Origin of Algebra
Author: Jacob KleinPublisher: Courier Corporation
ISBN: 0486319814
Category : Mathematics
Languages : en
Pages : 246
Book Description
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.
Author: Sir Thomas Little Heath
Author: Thomas L. HeathA History of Greek Mathematics, Volume II
Author: Sir Thomas HeathPublisher: Courier Corporation
ISBN: 0486162656
Category : Mathematics
Languages : en
Pages : 605
Book Description
Volume 2 of an authoritative two-volume set that covers the essentials of mathematics and features every landmark innovation and every important figure, including Euclid, Apollonius, and others.
Author: Thomas L. HeathThe History of Mathematical Proof in Ancient Traditions
Author: Karine ChemlaPublisher: Cambridge University Press
ISBN: 1139510584
Category : Philosophy
Languages : en
Pages : 522
Book Description
This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
How Greek Science Passed On To The Arabs
Author: Delacy O'LearyPublisher: Routledge
ISBN: 1317847482
Category : Social Science
Languages : en
Pages : 152
Book Description
First published in 2002. The history of science is one of knowledge being passed from community to community over thousands of years, and this is the classic account of the most influential of these movements -how Hellenistic science passed to the Arabs where it took on a new life and led to the development of Arab astronomy and medicine which flourished in the courts of the Muslim world, later passing on to medieval Europe. Starting with the rise of Hellenism in Asia in the wake of the campaigns of Alexander the Great, O'Leary deals with the Greek legacy of science, philosophy, mathematics and medicine and follows it as it travels across the Near East propelled by religion, trade and conquest. Dealing in depth with Christianity as a Hellenizing force, the influence of the Nestorians and the Monophysites; Indian influences by land and sea and the rise of Buddhism, O'Leary then focuses on the development of science during the Baghdad Khalifate, the translation of Greek scientific material into Arabic, and the effect for all those interested in the history of medicine and science, and of historical geography as well as the history of the Arab world.
Making up Numbers: A History of Invention in Mathematics
Author: Ekkehard KoppPublisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 280
Book Description
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
