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From discrete to continuous : the broadening of number concepts in early modern England / Katherine Neal.
- Format:
- Book
- Author/Creator:
- Neal, Katherine.
- Series:
- Australasian studies in history and philosophy of science ; v. 16.
- Australasian studies in history and philosophy of science ; v. 16
- Language:
- English
- Subjects (All):
- Mathematics--England--History--16th century.
- Mathematics.
- Mathematics--England--History--17th century.
- Number concept.
- History.
- England.
- Physical Description:
- 174 pages : illustrations ; 25 cm.
- Place of Publication:
- Dordrecht ; Boston : Kluwer Academic Publishers, [2002]
- Contents:
- Chapter 1 Transformation of the Number Concept 1
- Chapter 2 The Ancient Sources 12
- Aristotle 12
- Euclid 17
- Proclus 22
- Greek Atomists 25
- Chapter 3 The Contemporary Influences 28
- The Abacus Tradition 28
- Simon Stevin 33
- The Techniques of Viete 36
- Descartes 39
- Chapter 4 Early Modern English Algebra 46
- The Nature of the Texts 47
- Robert Recorde 49
- The Treatment of Numbers in Arithmetic Texts 58
- John Tapp 61
- Thomas Harriot's Arts Analyticae Praxis 62
- Oughtred's Clavis Mathematicae 71
- Chapter 5 The Development of the Logarithms: Napier and Briggs 80
- Napier's Background 84
- Algebra 85
- Napier's Logarithms 87
- Biggs and Numerical Methods 104
- Briggs' Method of Construction 106
- Chapter 6 Isaac Barrow 115
- Background and Education 116
- Barrow's Mathematical Practice 121
- Foundational Issues in Barrow's Cambridge Lectures 132
- Chapter 7 John Wallis 138
- Background and Education 139
- Wallis' Mathematical Practice 143
- The Composition of Continua 151.
- Notes:
- Includes bibliographical references (pages [163]-169) and index.
- ISBN:
- 1402005652
- OCLC:
- 49552055
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