Circles Disturbed

Circles Disturbed : The Interplay of Mathematics and Narrative

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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 more

Product details

  • Hardback | 552 pages
  • 162.56 x 236.22 x 48.26mm | 975.22g
  • Princeton University Press
  • New Jersey, United States
  • English
  • 91 line illus.
  • 0691149046
  • 9780691149042
  • 883,849

Review quote

"Circles Disturbed will spark interest in younger readers in the commonalities among these three disciplines as well as engage other readers. Further, readers with greater background in one or more topics can see the intra- and the intersections rather naturally and inquisitively. The diverse perspectives represented by the various authors are quite refreshing."--Farshid Safi, Mathematics Teacher "Well thought and well written and with a careful balance between erudition and down-to-earthness all through it, Circles Disturbed is a highly recommended reading for mathematicians and students of mathematics, as well as for anyone who wishes to better understand what it is to do mathematics and why they are done the way they are done."--Capi Corrales Rodriganez, European Mathematical Society "Circles Disturbed presents a cohesive narrative whose strength lies in helping each side to understand the other. It should encourage scientists to grasp the logic behind storytelling and literary critics to sense the allure of mathematics."--Mel Bayley, British Society for the History of Mathematics Bulletin "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."--Choiceshow more

About Apostolos Doxiadis

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).show more

Back cover copy

"Circles Disturbed offers a range of possibilities for how narrative can function in mathematics and how narratives themselves show signs of a mathematical structure. An intelligent, exploratory collection of writings by a distinguished group of contributors."--Theodore Porter, University of California, Los Angeles "This collection is a pioneering effort to trace the hidden connections between mathematics and narrative. It succeeds magnificently, and represents a very significant contribution that will appeal to the professional mathematician as well as the general educated reader. The articles are written by top authorities in their fields."--Doron Zeilberger, Rutgers University "The idea of a volume devoted to mathematics and narrative is a good one. The strength of the present volume is the breadth of its outlook, and I would imagine a fairly diverse readership from a wide variety of perspectives."--Robert Osserman, professor emeritus, Stanford Universityshow more

Table of contents

Introduction viiChapter 1: From Voyagers to Martyrs: Toward a Storied History of Mathematics 1By AMIR ALEXANDERChapter 2 Structure of Crystal, Bucket of Dust 52By PETER GALISONChapter 3: Deductive Narrative and the Epistemological Function of Belief in Mathematics: On Bombelli and Imaginary Numbers 79By FEDERICA LANAVEChapater 4: Hilbert on Theology and Its Discontents: The Origin Myth of Modern Mathematics 105By COLIN MCLARTYChapter 5: Do Androids Prove Theorems in Their Sleep? 130By MICHAEL HARRISChapter 6: Visions, Dreams, and Mathematics 183By BARRY MAZURChapter 7: Vividness in Mathematics and Narrative 211By TIMOTHY GOWERSChapter 8: Mathematics and Narrative: Why Are Stories and Proofs Interesting? 232By BERNARD TEISSIERChapter 9: Narrative and the Rationality of Mathematical Practice 244By DAVID CORFIELDChapter 10: A Streetcar Named (among Other Things) Proof: From Storytelling to Geometry, via Poetry and Rhetoric 281By APOSTOLOS DOXIADISChapter 11: Mathematics and Narrative: An Aristotelian Perspective 389By G .E .R . LLOYDChapter 12: Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative 407By ARADY PLOTNITSKYChapter 13: Formal Models in Narrative Analysis 447By DAVID HERMANChapter 14: Mathematics and Narrative: A Narratological Perspective 481By URI MARGOL NChapter 15: Tales of Contingency, Contingencies of Telling: Toward an Algorithm of Narrative Subjectivity 508By JAN CHRISTOPH MEISTERContributors 541Index 545show more

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10 ratings
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3 40% (4)
2 10% (1)
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