عنوان
پدید آورنده
موضوع
رده
QA21
QA21
کتابخانه
محل استقرار
303019258X
9783030192587
3030192571
9783030192570
Selected essays on pre- and early modern mathematical practice /
[Book]
Jens Høyrup.
Cham :
Springer,
2019.
1 online resource (963 pages)
12 The Rare Traces of Constructional Procedures in "Practical Geometries."
Includes bibliographical references and index.
References6 Sanskrit-Prakrit Interaction in Elementary Mathematics as Reflected in Arabic and Italian Formulations of the Rule of Three-and Something More on the Rule Elsewhere; Abstract; An introductory observation; India; Late medieval Italy; Arabic sources; Latin presentations; The Iberian Peninsula and Provence; Italy revisited; What is the origin of the Ibero-Provençal representation?; References; 7 Geometrical Patterns in the Pre-classical Greek Area: ; Abstract; Preliminary remarks; "Old Europe"; In Minoan orbit; The two faces of Mycenaean Greece
Intro; TABLE OF CONTENTS; Acknowledgements and Copyright; Main Roads and Odd Corners; 1 Introduction; Generalities; The two parts; The single articles; References; 2 On Parts of Parts and Ascending Continued Fractions: An Investigation of the Origins and Spread of a Peculiar System; Abstract; Introduction; Islamic and post-Islamic evidence; Classical Antiquity and its legacy; Babylonia; Egypt; A scenario; References; 3 A Note on Old Babylonian Computational Techniques; Abstract; Observations and conclusions; References
4 On a Collection of Geometrical Riddles and Their Role in the Shaping of Four to Six "Algebras"Abstract; Opening; A General Characterization; "The Four Fronts and the Area" and its Kin; An Inventory -- and a Noteworthy Discovery; Adoptions I: The Scribe School; Adoptions II: Greek Theory; Adoptions III: The Proofs and Associates of al-jabr; Adoptions IV: India; Al-jabr Revisited; Closing; References; 5 Mahāvīra's Geometrical Problems: Traces of Unknown Links between Jaina and Mediterranean Mathematics in the Classical Ages; Abstract; Near Eastern and Mediterranean geometries; Mahāvīra
A Near Eastern practitioners' traditionGeometrica; Levels of comparison; The organization; Methods, considered abstractly; The procedures in their actual detail; Numerical values; Phraseology; References; 11 Which Kind of Mathematics Was Known and Referred to by Those Who Wanted to Integrate Mathematics in Wisdom -- Neopythagoreans and Others?; Abstract; Remarks about Plato; What was at hand?; The "Silk Road" cluster; Surveyors' riddles; Summations until 10; Side-and-diagonal numbers; A final note about fractions and ratios; References
From "geometric style" toward, and away from, geometryA moral?; References; 8 Broad Lines -- A Forgotten Geometrical Ambiguity; Abstract; Italian mensuration, from Fibonacci to Pacioli; Pharaonic Egypt; Old Babylonian mathematics; Euclid -- "Heron" − Plato; Conclusion; References; 9 Concerning the Position of ''Heron's Formula'' in the Metrica (With a Platonic Note); Abstract; The ''formula'' in the Metrica and in the Dioptra; A Platonic Note; References; 10 Heron, Ps-Heron, and Near Eastern Practical Geometry: An Investigation of Metrica, Geometrica, and other Treatises; Abstract; Introduction
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This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.
Selected Essays on Pre- and Early Modern Mathematical Practice.
9783030192570
Mathematics-- History.
Mathematics.
510
.
9
23
QA21
Høyrup, Jens.
20200823090756.0
pn
مطالعه متن کتاب [Book]
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