I have also taught and done research in how the mathematical sciences have affected, and been affected by, human values and cultures including moral, religious and cognitive values. Gardening Fly-fishing Philately Cyprus post-independence. History of Math. Berlin, Heidelberg, New York: Springer, This book, due to be published in , contains considerable additional material on each of the topics covered in the first edition. It also contains a new chapter on number theory, magic squares and permutations and combinations in medieval Islam.
The coverage of mathematics in North Africa and medieval Spain has been greatly expanded over that in the first edition.
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The book is illustrated with diagrams and color plates. Princeton University Press, In some ways a complement to the Sourcebook listed below, this work makes available translations of texts dealing with arithmetic, algebra, geometry, trigonometry and other parts of mathematics from western Christian, Jewish and Muslim societies and shows how important mathematics developed in, and passed among, these three cultures. English translations of key mathematical texts from medieval Western Europe and North Africa, all originally written in one of the three scientific languages of that time: Latin, Hebrew, and Arabic.
Until now, there has been no sourcebook that deals with Hebrew mathematics as such, or the mathematics of the Muslim West. This volume fills that gap and brings the field an important step forward. Katz, ed. This Sourcebook presents English translations of original mathematical texts from the five ancient societies listed in the title. Almost everyone knows the names of Euclid and Archimedes, but few could name one mathematician from China, or recognized the names Brahmagupta or al-Khwarizmi.
The authors are leading authorities in their subjects and the scholarship is of the highest order.
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Evans and J. Among the topics treated are the zodiac, the constellations, the celestial sphere, the succession of lunar phases, the length of the lunar month, eclipses and the motions of the five planets visible to the naked eye. The translation is a model of clarity and the notes to each section explain the text in detail, both technically and historically Evans and Berggren have done such an excellent job in every way, their knowledge of the subject is so complete, that I can only admire their work and recommend it as exemplary.
Berlin, Heidelberg, New York: Springer, softcover edition A revised version of this work has been published in German, in , as Mathematik im mittelalterlichen Islam Springer. This book presents specific examples of mathematics translated from Arabic texts in their historical context.
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The reader will learn how mathematicians and astronomers in the medieval Islamic world transformed the arithmetic, algebra and trigonometry of the ancient world to create much of the mathematics taught in schools today. The reader will also see some beautiful geometric results and learn of how the first analogue computer — the astrolabe — was used to solve important problems in astronomy. The book is illustrated with numerous diagrams and photographs.
No knowledge of mathematics Berggren and B. Goldstein, Editors. Acta Historica Scientiarum Naturalium et Medicinalium. Copenhagen: University Library, Out of Print. Berggren and R. Most are unaware that Euclid, famous for his Geometry , also wrote what is arguably the first book on mathematical astronomy — ironically dealing with the non-euclidean geometry of circles on the sphere. This is the first English translation of this historic work. The notes and introduction are very helpful.
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Anyone interested in the history of Greek science will want to have a copy. So will anyone who is curious about the history of how the Greeks deployed mathematical models to understand astronomical phenomena. Berggren and Alexander Jones. Princeton University Press Hardcover edition: ; softcover edition This book, which introduced the practice of using latitude and longitude as a basis for map-making, is one of the most important works ever written on that topic, and its methods inspired the cartographers of the Renaissance.
It also explains the mathematics and the historical context of the Geography and is illustrated with numerous diagrams, plates and maps. Berggren, J. Borwein and P. New York: Springer, With selections from mathematical works, amusing stories and even a song this book carries the story of pi from ancient Egypt up to the present.
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The authors are to be congratulated Manuel de Leon, et al. American Institute of Physics, Editors Luis Arturo Guichard, et al. Bern: Peter Lang, AG, Jan P. Hogendijk and Abelhamid I. Cambridge, Mass. Tuplin and T. Rihll, ed's. Oxford, New York, etc. Boethius Texte Abh. Stuttgart:Franz Steiner Verlag , pp. John J. Contreni and Santa Casciani. Sismel - Edizioni del Galluzzo , pp. Abu Sahl al-Kuhi's "On Drawing two lines from a given point to a given line by the method of analysis. Journal for the History of Astronomy xxxii , - Suhayl , Vol.
I, , pp. Van Brummelen.
Zeitschrift fuer Geschichte der Arabisch-Islamischen Wissenschaften. Aaboe , Centaurus, XXI , 1 - Thomas, Physis. Ragep and S. Ragep, ed's. Leiden: E. Brill, , pp. Alan C. Bowen , Garland Publishing, , Ian Mueller 24, No. King and G. New York Acad. Ivor Grattan-Guinness, Belin, Paris , pp. Munksgaard, Copenhagen, , pp. Middle East Studies Assoc. Garfield: U. Journal for History of Arabic Science, Vol. V, Nos. II, No. Polygons and Puzzles.
Connecticut Mathematics Journal, Vol. Australian Math. Mathematics Teachers , Vol. Catton Pac. Review, Vol. Invited Articles J. Berggren and Jan P.
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Burnett, Jan P. Hogendijk, Kim Plofker and Michio Yano, ed's. Leiden-Boston: Brill , pp. I, , pages - Bosworth and the late M. Kennedy pp. Saliba New York Academy of Sciences Downward: but, tending upward for advice,. By the next soul, which, seated in the brain,. Useth the first with its collected use,. And feeleth, thinketh, willeth,— is what Knows:. Which, duly tending upward in its turn,. By the last soul, that uses both the first,. Subsisting whether they assist or no,.
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