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Nineteenth Century Short Title Catalogue Extracted from the Catalogues of the Bodleian Library, the British Library, the Library of Trinity College (Dublin), the National Library of Scotland, and the University Libraries of Cambridge and Newcastle: Phase 1: 1816-1870. v.15. Fort - Fyv and Indexes for volumes 11-15. v.20. Hor-Hunt, W. R. and Indexes for v. 16-20. v.21. Hunten-Jero. v.22. Jerp-Kief. v.23. Kieg-Lecom. v.24. Lecon-Lorc. v.25. Lord-Maccaul and Indexes for volumes 21-25

Published: 1984

Total Pages: 618


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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.
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.