Enlightening Symbols : : A Short History of Mathematical Notation and Its Hidden Powers / / Joseph Mazur.

While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what w...

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Superior document:Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©2014
Year of Publication:2014
Edition:Course Book
Language:English
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Physical Description:1 online resource (312 p.) :; 8 halftones. 38 line illus. 4 tables.
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020 |a 9781400850112 
024 7 |a 10.1515/9781400850112  |2 doi 
035 |a (DE-B1597)459816 
035 |a (OCoLC)984643452 
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050 4 |a QA41  |b .M39 2018 
072 7 |a MAT015000  |2 bisacsh 
082 0 4 |a 510.148  |2 23 
100 1 |a Mazur, Joseph,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Enlightening Symbols :  |b A Short History of Mathematical Notation and Its Hidden Powers /  |c Joseph Mazur. 
250 |a Course Book 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2014] 
264 4 |c ©2014 
300 |a 1 online resource (312 p.) :  |b 8 halftones. 38 line illus. 4 tables. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 0 |t Frontmatter --   |t Contents --   |t Introduction --   |t Definitions --   |t Note on the Illustrations --   |t Part 1. Numerals --   |t Part 2. Algebra --   |t Part 3. The Power of Symbols --   |t Appendix A. Leibniz's Notation --   |t Appendix B. Newton's Fluxion of x" --   |t Appendix C. Experiment --   |t Appendix D. Visualizing Complex Numbers --   |t Appendix E. Quaternions --   |t Acknowledgments --   |t Notes --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Mathematical notation  |x History. 
650 7 |a MATHEMATICS / History & Philosophy.  |2 bisacsh 
653 |a Abu Jafar Muhammad ibn Musa al-Khwārizmī. 
653 |a Alexandria. 
653 |a Arabic alphabet. 
653 |a Arabic numbers. 
653 |a Arabs. 
653 |a Arithmetica Integra. 
653 |a Arithmetica. 
653 |a Ars Magna. 
653 |a Aztec numerals. 
653 |a Babylonians. 
653 |a Brahmagupta. 
653 |a Brahmasphutasiddhanta. 
653 |a Brahmi number system. 
653 |a Cartesian coordinate system. 
653 |a China. 
653 |a Chinese. 
653 |a Christoff Rudolff. 
653 |a Clavis mathematicae. 
653 |a Die Coss. 
653 |a Diophantus. 
653 |a Egyptian hieroglyphics. 
653 |a Elements. 
653 |a Euclid. 
653 |a Eurasia. 
653 |a Europe. 
653 |a France. 
653 |a François Viète. 
653 |a Geometria. 
653 |a George Rusby Kaye. 
653 |a Gerbertian abacus. 
653 |a Gerolamo Cardano. 
653 |a Gottfried Leibniz. 
653 |a Gotthilf von Schubert. 
653 |a Greek alphabet. 
653 |a Heron of Alexandria. 
653 |a Hindu-Arabic numerals. 
653 |a Ibn al-Qifti. 
653 |a India. 
653 |a Indian mathematics. 
653 |a Indian numbers. 
653 |a Indian numerals. 
653 |a Invisible Gorilla experiment. 
653 |a Isaac Newton. 
653 |a Jacques Hadamard. 
653 |a Kanka. 
653 |a L'Algebra. 
653 |a Leonardo Fibonacci. 
653 |a Liber abbaci. 
653 |a Ludwig Wittgenstein. 
653 |a Mayan system. 
653 |a Metrica. 
653 |a Michael Stifel. 
653 |a Michel Chasles. 
653 |a Nicolas Chuquet. 
653 |a Proclus. 
653 |a Pythagorean theorem. 
653 |a Rafael Bombelli. 
653 |a René Descartes. 
653 |a Roman numerals. 
653 |a Royal Road. 
653 |a Sanskrit. 
653 |a Silk Road. 
653 |a St. Andrews cross. 
653 |a Stanislas Dehaene. 
653 |a Ta'rikh al-hukama. 
653 |a William Jones. 
653 |a William Oughtred. 
653 |a abacus. 
653 |a al-Qalasādi. 
653 |a algebra. 
653 |a algebraic expressions. 
653 |a algebraic symbols. 
653 |a alphabet. 
653 |a ancient number system. 
653 |a arithmetic. 
653 |a calculus. 
653 |a counting rods. 
653 |a counting. 
653 |a curves. 
653 |a decimal system. 
653 |a dependent variables. 
653 |a dignità. 
653 |a dreams. 
653 |a dust boards. 
653 |a equality. 
653 |a equations. 
653 |a exponents. 
653 |a finger counting. 
653 |a fluents. 
653 |a fluxions. 
653 |a forgeries. 
653 |a geometry. 
653 |a homogeneous equations. 
653 |a images. 
653 |a infinitesimals. 
653 |a juxtaposition. 
653 |a known quantities. 
653 |a language. 
653 |a mathematical notation. 
653 |a mathematics. 
653 |a meaning. 
653 |a mental pictures. 
653 |a metaphor. 
653 |a modern arithmetic. 
653 |a modern number system. 
653 |a multiplication. 
653 |a natural language. 
653 |a negative numbers. 
653 |a nested square roots. 
653 |a notation. 
653 |a number system. 
653 |a numbers. 
653 |a numerals. 
653 |a operations. 
653 |a place-value. 
653 |a poetry. 
653 |a polynomials. 
653 |a positive numbers. 
653 |a powers. 
653 |a prime numbers. 
653 |a proofs. 
653 |a quadratic equations. 
653 |a reckoning. 
653 |a sexagesimal system. 
653 |a square roots. 
653 |a symbolic algebra. 
653 |a symbols. 
653 |a thought. 
653 |a trade. 
653 |a verbal language. 
653 |a vinculum. 
653 |a vowel--consonant notation. 
653 |a words. 
653 |a writing. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2014-2015  |z 9783110665925 
776 0 |c print  |z 9780691154633 
856 4 0 |u https://doi.org/10.1515/9781400850112?locatt=mode:legacy 
856 4 0 |u https://www.degruyter.com/isbn/9781400850112 
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