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Distributivity-like Results in the Medieval Traditions of Euclid's Elements: Between Geometry and Arithmetic 1st ed. 2021 [Mīkstie vāki]

  • Formāts: Paperback / softback, 82 pages, height x width: 235x155 mm, weight: 157 g, 3 Illustrations, color; 43 Illustrations, black and white; VII, 82 p. 46 illus., 3 illus. in color., 1 Paperback / softback
  • Sērija : SpringerBriefs in History of Science and Technology
  • Izdošanas datums: 20-Nov-2021
  • Izdevniecība: Springer Nature Switzerland AG
  • ISBN-10: 3030796787
  • ISBN-13: 9783030796785
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  • Mīkstie vāki
  • Cena: 55,83 €*
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  • Formāts: Paperback / softback, 82 pages, height x width: 235x155 mm, weight: 157 g, 3 Illustrations, color; 43 Illustrations, black and white; VII, 82 p. 46 illus., 3 illus. in color., 1 Paperback / softback
  • Sērija : SpringerBriefs in History of Science and Technology
  • Izdošanas datums: 20-Nov-2021
  • Izdevniecība: Springer Nature Switzerland AG
  • ISBN-10: 3030796787
  • ISBN-13: 9783030796785
Citas grāmatas par šo tēmu:

This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise  of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.

1 Introduction
1(4)
References
4(1)
2 Distributivity-like Results in Euclid's Elements
5(22)
2.1 Book II
6(2)
2.2 BookV
8(5)
2.3 Book VII
13(3)
2.4 Distributivity-Like Results at Work
16(11)
References
24(3)
3 Late Antiquity and Islamicate Mathematics
27(16)
3.1 Heron and Al-Nayrizi
27(6)
3.2 Abu Karnil: Algebra
33(2)
3.3 Omar Khayyam: Algebra
35(8)
References
42(1)
4 Latin Middle Ages
43(22)
4.1 Liber Mahameleth
44(5)
4.2 Fibonacci: Geometry and Arithmetic
49(7)
4.3 Sacrobosco: Algorismus
56(1)
4.4 Jordanus Nemorarius: Arithmetica
57(3)
4.5 Campanus: Elements
60(5)
References
63(2)
5 Hebrew Mathematics
65(16)
5.1 Gersonides: Sefer Maaseh Hoshev
66(2)
5.2 Alfonso de Valladolid: Sefer Meyasher Aqov
68(5)
5.3 Eliezer Komtino and Elijah Mizrahi: Arithmetic
73(8)
References
79(2)
6 Concluding Remarks
81
Leo Corry is a historian of science working at Tel Aviv University. He has published extensively on the history of mathematics, physics and computing, since the turn of the twentieth century, as well as on medieval mathematics.