Research Catalog

Title

Patterns of change : linguistic innovations in the development of classical mathematics / Ladislav Kvasz.

Author

Kvasz, Ladislav

Publication

Basel : Birkhäuser, c2008.

Items in the Library & Off-site

Holdings

Details

Description

xviii, 261 p. : ill.; 24 cm.

Summary

"This book offers a reconstruction of linguistic innovations in the history of mathematics; innovations which changed the ways in which mathematics was clone, 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." "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."--Jacket.

Series Statement

Science networks historical studies ; v. 36

Uniform Title

Science networks historical studies v. 36.

Alternative Title

linguistic innovations in the development of classical mathematics

Subject

• Mathematics > Philosophy
• Mathematical linguistics
• Mathematics > Terminology
• Humanities
• Mathematics
• Mathematics_$xHistory

Bibliography (note)

• Includes bibliographical references.

Processing Action (note)

• committed to retain

Contents

Preface -- Introduction -- Re-codings as the first pattern of change in mathematics -- Historical description of re-codings -- Philosophical reflections on re-codings -- Relativizations as the second pattern of change in mathematics -- A Historical description of relativizations in synthetic geometry -- Historical description of relativizations in algebra -- Philosophical reflections on relativizations -- Re-formulations as a third pattern of change in mathematics -- Re-formulations and concept-formation -- Re-formulations and problem-solving -- Re-formulations and theory-building -- Mathematics and change -- The question of revolutions in mathematics (Kuhn) -- The question of mathematical research programs (Lakatos) -- The question of stages of cognitive development (Piaget) -- Notes -- Bibliography.

ISBN

9783764388393 (hd.bd.)

OCLC

227033881

Owning Institutions

Harvard Library