Patterns of Change: Linguistic Innovations in the Development of Classical Mathematics.
Language: English
Published by Basel, etc.: Birkhäuser, 2008., 2008
- First Edition
- Hardcover
- Used

Seller: Ted Kottler, Bookseller, Redondo Beach, CA, U.S.A.Ted Kottler, Bookseller
AbeBooks seller since January 5, 2002
Condition: Used - Near fine
£ 46.20
Quantity: 1 available
Add to basketItem description from seller
xviii, 261 pp. Original matte boards. Someone wrote the initials 'BSL' in thin black marker on the base of the spine, else Near Fine. Science Networks: Historical Studies, vol. 36.
Seller Inventory # 21744
- Title
- Patterns of Change: Linguistic Innovations in the Development of Classical Mathematics.
- Author
- KVASZ, Ladislav:
- Publisher
- Basel, etc.: Birkhäuser, 2008.
- Publication year
- 2008
- Condition
- Near Fine
- Dust jacket
- No Jacket
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3764388390
- ISBN 13
- 9783764388393
- Edition
- 1st Edition
- Series
- Book 9 of 29: Science Networks. Historical Studies
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book offers a reconstruction of linguistic innovations in the history of mathematics; innovations which changed the ways in which mathematics was done, understood and philosophically interpreted. It argues that there are at least three ways in which the language of mathematics has been changed throughout its history, thus determining the lines of development that mathematics has followed.
One of these patterns of change, called a re-coding, generates two developmental lines. The first of them connecting arithmetic, algebra, differential and integral calculus and predicate calculus led to a gradual increase of the power of our calculating tools, turning difficult problems of the past into easy exercises. The second developmental line connecting synthetic geometry, analytic geometry, fractal geometry, and set theory led to a sophistication of the ways we construct geometrical objects, altering our perception of form and increasing our sensitivity to complex visual patterns.
Another important pattern of change, called relativization, is illustrated by the development of synthetic geometry, connecting Euclid’s geometry, projective geometry, non-Euclidean geometry, and Klein’s Erlanger Programm up to Hilbert’s Grundlagen der Geometrie. In this development the notions of space and geometric object underwent deep and radical changes culminating in the liberation of objects from the supremacy of space and so bringing to existence geometric objects which space would never tolerate.
The book offers tools of analysis by means of which scholars and students of the history and philosophy of mathematics can attain better understanding of the various changes, which the subject of their study underwent in the course of history. The book brings also important insights for mathematics education connecting growth of language with the development of mathematical thought.
"About the title" may belong to another edition of this title.
Ted Kottler, Bookseller
Redondo Beach, CA, U.S.A.
AbeBooks seller since January 5, 2002
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Neurology/Psychology, Medicine, Biology, Physical Sciences, Art History: Antiquity through the Renaissance, Economics, Philosophy & Religion: Antiquity through the Renaissance, History of Mathematics, History of Science, History of MedicineSeller's business information
Ted Kottler, Bookseller
CA, U.S.A.
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