Cargando…

99 variations on a proof /

This book offers a unique, multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ording, Philip (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : Princeton University Press, [2019]
Temas:
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000 i 4500
001 JSTOR_on1077292089
003 OCoLC
005 20231005004200.0
006 m o d
007 cr cnu|||unuuu
008 181204t20192019njua ob 001 0 eng d
040 |a N$T  |b eng  |e rda  |e pn  |c N$T  |d N$T  |d EBLCP  |d OCLCF  |d JSTOR  |d CNCGM  |d COO  |d CNO  |d UBY  |d DEGRU  |d COO  |d HIR  |d OCLCQ  |d MM9  |d WAU  |d VFL  |d IEEEE  |d OCLCO  |d OCLCQ  |d LMR  |d OCLCO  |d OCLCQ 
020 |a 9780691185422  |q (electronic bk.) 
020 |a 0691185425  |q (electronic bk.) 
020 |z 9780691158839 
029 1 |a AU@  |b 000067968247 
035 |a (OCoLC)1077292089 
037 |a 22573/ctvc63jnw  |b JSTOR 
037 |a 9453393  |b IEEE 
050 4 |a QA8.4  |b .O73 2019eb 
072 7 |a MAT  |x 039000  |2 bisacsh 
072 7 |a MAT  |x 023000  |2 bisacsh 
072 7 |a MAT  |x 026000  |2 bisacsh 
072 7 |a MAT  |x 000000  |2 bisacsh 
072 7 |a MAT  |x 012010  |2 bisacsh 
072 7 |a MAT  |x 015000  |2 bisacsh 
082 0 4 |a 510.1  |2 23 
049 |a UAMI 
100 1 |a Ording, Philip,  |e author. 
245 1 0 |a 99 variations on a proof /  |c Philip Ording. 
246 3 0 |a Ninety-nine variations on a proof 
264 1 |a Princeton, New Jersey :  |b Princeton University Press,  |c [2019] 
264 4 |c ©2019 
300 |a 1 online resource (xi, 260 pages) :  |b illustrations (some color) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 247-255) and index. 
588 0 |a Online resource; title from PDF title page (EBSCO, viewed Decmeber 06, 2018). 
505 0 |a Omitted -- One-line -- Two-column -- Illustrated -- Elementary -- Puzzle -- Axiomatic -- Found -- Prerequisite -- Monosyllabic -- Wordless -- Exam -- Ruler and compass -- Reductio ad absurdum -- Contrapositive -- Matrices -- Ancient -- Interpreted -- Indented -- Jargon -- Definitional -- Blackboard -- Substitution --Symmetry -- Another symmetry -- Open collaborative -- Auditory -- Algorithmic -- Flow chart -- Model -- Formulaic -- Counterexample -- Another counterexample -- Calculus -- Medieval -- Typeset -- Social media -- Preprint -- Parataxis -- Origami -- Induction -- Newsprint -- Analytic -- Screenplay -- Omitted with condescension -- Verbal -- Cute -- Clever -- Computer assisted -- Outsider -- Chromatic -- Topological -- Antiquity -- Marginalia -- Arborescent -- Prefix -- Postfix -- Calculator -- Inventor's paradox -- Patented -- Geometric -- Modern -- Axonometric -- Back of the envelope -- Research seminar -- Tea -- Hand waving -- Approximate -- Word problem -- Statistical -- Another medieval -- Blog -- Translated -- Another translated -- Another interpreted -- Slide rule -- Experimental -- Monte Carlo -- Probabilistic -- Intuitionist -- Paranoid -- Doggerel -- Inconsistency -- Correspondence -- Tabular -- Exhaustion -- Another substitution -- Mechanical -- Dialogue -- Interior monologue -- Retrograde -- Mystical -- Refereed -- Neologism -- Authority -- First person -- Electrostatic -- Psychedelic -- Mondegreen -- Prescribed -- Postscript. 
520 |a This book offers a unique, multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles. 
520 |a An exploration of the art of mathematics through 99 different proofs of the same theorem this lively and compelling book offers a unique, multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from "Medieval," "Topological," and "Doggerel" to "Chromatic," "Electrostatic," and "Psychedelic." Along the way, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo--whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp -- Ording explores new ways to examine the aesthetic possibilities of mathematical activity. This mathematical take on Queneau's Exercises in Style--a collection of 99 retellings of the same story -- draws unexpected connections to everything from mysticism and technology to architecture and sign language and includes diagrams, notations, and other imagery that are as amusing as they are edifying. With a rare blend of humor and scholarly aplomb, Ording illustrates the inherent creative potential and flexibility of mathematical language despite its reputation for precision and rigor. Readers of this playful and expansive compendium of mathematical exposition and style will gain not only a bird's-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Every reader, no matter their level of expertise, will discover in these proofs surprising new aspects of the mathematical landscape 
590 |a JSTOR  |b Books at JSTOR Demand Driven Acquisitions (DDA) 
590 |a JSTOR  |b Books at JSTOR Evidence Based Acquisitions 
590 |a JSTOR  |b Books at JSTOR All Purchased 
650 0 |a Mathematics  |x Philosophy. 
650 0 |a Geometry, Algebraic. 
650 6 |a Mathématiques  |x Philosophie. 
650 6 |a Géométrie algébrique. 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a MATHEMATICS  |x General.  |2 bisacsh 
650 7 |a Geometry, Algebraic.  |2 fast  |0 (OCoLC)fst00940902 
650 7 |a Mathematics  |x Philosophy.  |2 fast  |0 (OCoLC)fst01012213 
856 4 0 |u https://jstor.uam.elogim.com/stable/10.2307/j.ctvc77m52  |z Texto completo 
938 |a De Gruyter  |b DEGR  |n 9780691185422 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL5608831 
938 |a EBSCOhost  |b EBSC  |n 1857555 
994 |a 92  |b IZTAP