Circles Disturbed (eBook)

The Interplay of Mathematics and Narrative
eBook Download: EPUB
2012
552 Seiten
Princeton University Press (Verlag)
978-1-4008-4268-1 (ISBN)

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Why narrative is essential to mathematicsCircles 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-"e;Don't disturb my circles"e;-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 "e;myths of origins"e; 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.

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).

Erscheint lt. Verlag 18.3.2012
Zusatzinfo 91 line illus.
Verlagsort Princeton
Sprache englisch
Themenwelt Geisteswissenschaften Geschichte
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Geschichte der Mathematik
Technik
Schlagworte abstract algebra • Abstraction • Addition • aesthetic contingency • Alasdair MacIntyre • Alexander Grothendieck • Algebra • algebraic equation • Algebraic Geometry • algebraic topology • Ambiguity • American Mathematical Society • Analogy • Approximation • Archimedes • Aristotle • automated theorem provers • Axiom • axiomatic mathematics • Belief • Bleak House • Borel sets • Bourbaki • Calculation • Carl Friedrich Gauss • Chiasmus • clues • coefficient • cognitive meaning • cognitive science • complex number • compound machines • Computational modeling • Computer Scientist • Computer simulations • Concept • Conceptualization (information science) • conjecture • Contradiction • cubic equations • Cubic function • David Hilbert • deductive mathematics • Deductive Reasoning • diagram • Diagram (category theory) • diagramma • Dimension • Dreams • Emergence • Emmy Noether • energeia • Enlightenment • Epistemology • Equation • Euclidean Geometry • existential contingency • Explanation • exploration mathematics • finiteness theorems • First principle • Focalization • forensic rhetoric • Formal models • Foundations of mathematics • Genre • Geometry • Georg Cantor • G. E. R. Lloyd • ghost • Ghostwriter • Greece • Greek mathematics • Group • group theory • highest common factor • hypothesis • imaginary number • Imaginary Numbers • Incommensurability • Instance (computer science) • Intuition • Irony • Jean-Pierre Vernant • John Archibald Wheeler • K-ness • L'Algebra • Lecture • Leo Perutz • Leopold Kronecker • Literary Narrative • Literary Theory • Literature • Logic • machine metaphor • mathematical argument • mathematical concepts • mathematical enquiry • mathematical line • Mathematical Logic • Mathematical Modeling • Mathematical Models • mathematical objects • Mathematical Physics • mathematical practice • Mathematical problem • Mathematical Proof • mathematician • Mathematicians • Mathematics • metanarratology • Metaphor • Middlemarch • Myth • Narration • narrative • narrative analysis • Narrative Representation • narrative structure • narrative subjectivity • Narratology • Natural number • Negative numbers • non-Euclidean epistemology • Non-Euclidean geometry • non-Euclidean mathematics • non-Euclidean physics • non-Euclidean thinking • Number Theory • orthe • Paul Gordan • permutation groups • Perspective • phenomenon • Philosopher • Philosophy • philosophy of mathematics • philosophy of science • Plato • poetic storytelling • polynomial • polynomial equations • Potentiality and actuality • Prediction • Principle • Probability • Proof • Pure Mathematics • Quantity • quantum mechanics • Rafael Bombelli • rational enquiry • Rationality • Rational number • Reality • real number • reason • result • rhetoric • Right angle • Robert Thomason • Science • scientific inquiry • Scientist • set theory • square root • square roots • Story • story generator algorithm • story grammars • Storytelling • structural linguistics • Symbols • Terminology • Theology • Theorem • Theorems • theoretical physics • theory • Theory of Forms • The Various • ThomasonДrobaugh article • Thought • Three-dimensional space (mathematics) • Timothy Gowers • Tom Trobaugh • Topology • tragic mathematical heroes • Truth • two-dimensional space • Variable (mathematics) • variste Galois • vestibular line • Visions • visual line • Vividness • vocabulary • Writing
ISBN-10 1-4008-4268-9 / 1400842689
ISBN-13 978-1-4008-4268-1 / 9781400842681
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