Circles Disturbed: The Interplay of Mathematics and Narrative

Author:   Apostolos Doxiadis ,  Barry Mazur
Publisher:   Princeton University Press
ISBN:  

9780691149042


Pages:   552
Publication Date:   18 March 2012
Format:   Hardback
Availability:   Temporarily unavailable   Availability explained
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Circles Disturbed: The Interplay of Mathematics and Narrative


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Overview

Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--""Don't disturb my circles""--words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds--stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities.A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of ""myths of origins"" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.

Full Product Details

Author:   Apostolos Doxiadis ,  Barry Mazur
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Dimensions:   Width: 15.20cm , Height: 5.30cm , Length: 23.50cm
Weight:   0.964kg
ISBN:  

9780691149042


ISBN 10:   0691149046
Pages:   552
Publication Date:   18 March 2012
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.
Language:   English

Table of Contents

Introduction vii Chapter 1: From Voyagers to Martyrs: Toward a Storied History of Mathematics 1 By AMIR ALEXANDER Chapter 2 Structure of Crystal, Bucket of Dust 52 By PETER GALISON Chapter 3: Deductive Narrative and the Epistemological Function of Belief in Mathematics: On Bombelli and Imaginary Numbers 79 By FEDERICA LANAVE Chapater 4: Hilbert on Theology and Its Discontents: The Origin Myth of Modern Mathematics 105 By COLIN MCLARTY Chapter 5: Do Androids Prove Theorems in Their Sleep? 130 By MICHAEL HARRIS Chapter 6: Visions, Dreams, and Mathematics 183 By BARRY MAZUR Chapter 7: Vividness in Mathematics and Narrative 211 By TIMOTHY GOWERS Chapter 8: Mathematics and Narrative: Why Are Stories and Proofs Interesting? 232 By BERNARD TEISSIER Chapter 9: Narrative and the Rationality of Mathematical Practice 244 By DAVID CORFIELD Chapter 10: A Streetcar Named (among Other Things) Proof: From Storytelling to Geometry, via Poetry and Rhetoric 281 By APOSTOLOS DOXIADIS Chapter 11: Mathematics and Narrative: An Aristotelian Perspective 389 By G .E .R . LLOYD Chapter 12: Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative 407 By ARADY PLOTNITSKY Chapter 13: Formal Models in Narrative Analysis 447 By DAVID HERMAN Chapter 14: Mathematics and Narrative: A Narratological Perspective 481 By URI MARGOL N Chapter 15: Tales of Contingency, Contingencies of Telling: Toward an Algorithm of Narrative Subjectivity 508 By JAN CHRISTOPH MEISTER Contributors 541 Index 545

Reviews

Editors Doxiadis and Mazur have compiled a collection of 15 essays that look at the many possible roles narrative can play in mathematics, which is usually considered far removed from storytelling... Circles Disturbed will be of special value to collections in history of mathematics, philosophy of mathematics, and mathematical pedagogy. Choice


Editors Doxiadis and Mazur have compiled a collection of 15 essays that look at the many possible roles narrative can play in mathematics, which is usually considered far removed from storytelling... Circles Disturbed will be of special value to collections in history of mathematics, philosophy of mathematics, and mathematical pedagogy. --Choice


Author Information

Apostolos Doxiadis is a writer whose books include Uncle Petros and Goldbach's Conjecture and Logicomix. Barry Mazur is the Gerhard Gade University Professor in the Department of Mathematics at Harvard University. His books include Imagining Numbers and Arithmetic Moduli of Elliptic Curves (Princeton).

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