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The Growth of Mathematical Knowledge

Overview of attention for book
Cover of 'The Growth of Mathematical Knowledge'

Table of Contents

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    Book Overview
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    Chapter 1 Knowledge of Functions in the Growth of Mathematical Knowledge
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    Chapter 2 Huygens and the Pendulum: From Device to Mathematical Relation
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    Chapter 3 An Empiricist Philosophy of Mathematics and Its Implications for the History of Mathematics
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    Chapter 4 The Mathematization of Chance in the Middle of the 17th Century
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    Chapter 5 Mathematical Empiricism and the Mathematization of Chance: Comment on Gillies and Schneider
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    Chapter 6 The Partial Unification of Domains, Hybrids, and the Growth of Mathematical Knowledge
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    Chapter 7 Hamilton-Jacobi Methods and Weierstrassian Field Theory in the Calculus of Variations: A Study in the Interaction of Mathematics and Physics
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    Chapter 8 On Mathematical Explanation
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    Chapter 9 Mathematics and the Reelaboration of Truths
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    Chapter 10 Penrose and Platonism
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    Chapter 11 On the Mathematics of Spilt Milk
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    Chapter 12 The Growth of Mathematical Knowledge: An Open World View
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    Chapter 13 Controversies about Numbers and Functions
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    Chapter 14 Epistemology, Ontology and the Continuum
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    Chapter 15 Tacit Knowledge and Mathematical Progress
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    Chapter 16 The Quadrature of Parabolic Segments 1635 – 1658: A Response to Herbert Breger
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    Chapter 17 Mathematical Progress: Ariadne’s Thread
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    Chapter 18 Voir-Dire in the Case of Mathematical Progress
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    Chapter 19 The Nature of Progress in Mathematics: The Significance of Analogy
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    Chapter 20 Analogy and the Growth of Mathematical Knowledge
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    Chapter 21 Evolution of the Modes of Systematization of Mathematical Knowledge
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    Chapter 22 Geometry: the First Universal Language of Mathematics
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    Chapter 23 Mathematical Progress
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    Chapter 24 Some Remarks on Mathematical Progress from a Structuralist’s Perspective
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    Chapter 25 Scientific Progress and Changes in Hierarchies of Scientific Disciplines
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    Chapter 26 On the Progress of Mathematics
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    Chapter 27 Attractors of Mathematical Progress — the Complex Dynamics of Mathematical Research
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    Chapter 28 On Some Determinants of Mathematical Progress
Attention for Chapter 22: Geometry: the First Universal Language of Mathematics
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Chapter title
Geometry: the First Universal Language of Mathematics
Chapter number 22
Book title
The Growth of Mathematical Knowledge
Published by
Springer, Dordrecht, January 2000
DOI 10.1007/978-94-015-9558-2_22
Book ISBNs
978-9-04-815391-6, 978-9-40-159558-2
Authors

I. G. Bashmakova, G. S. Smirnova, Bashmakova, I. G., Smirnova, G. S.

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Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Unknown 2 100%
Readers by discipline Count As %
Agricultural and Biological Sciences 1 50%
Unknown 1 50%

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