Enlightening Symbols

Enlightening Symbols PDF Author: Joseph Mazur
Publisher: Princeton University Press
ISBN: 1400850118
Category : Mathematics
Languages : en
Pages : 311

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Book Description
An entertaining look at the origins of mathematical symbols 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.

Enlightening Symbols

Enlightening Symbols PDF Author: Joseph Mazur
Publisher: Princeton University Press
ISBN: 1400850118
Category : Mathematics
Languages : en
Pages : 311

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Book Description
An entertaining look at the origins of mathematical symbols 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.

A History of Mathematical Notations: Notations mainly in higher mathematics

A History of Mathematical Notations: Notations mainly in higher mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Grammar, Comparative and general
Languages : en
Pages : 396

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Book Description


A History of Mathematical Notations

A History of Mathematical Notations PDF Author: Florian Cajori
Publisher: Cosimo, Inc.
ISBN: 1602067139
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes-first published in 1928-9-distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2."Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Elementary Mathematics, and The Chequered Career of Ferdinand Rudolph Hassler.

A History of Mathematical Notations (Two Volume in One)

A History of Mathematical Notations (Two Volume in One) PDF Author: Florian Cajori
Publisher: Cosimo, Inc.
ISBN: 1616405716
Category : Science
Languages : en
Pages : 854

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Book Description
Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes, first published in 1928-9 and reproduced here under one cover, distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2." Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Mathematical Notations, and The Chequered Career of Ferdinand Rudolph Hassler.

A History of Mathematical Notations

A History of Mathematical Notations PDF Author: Florian Cajori
Publisher: Courier Corporation
ISBN: 0486161161
Category : Mathematics
Languages : en
Pages : 865

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Book Description
This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.

A History of Mathematical Notations: Notations in elementary mathematics

A History of Mathematical Notations: Notations in elementary mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Grammar, Comparative and general
Languages : en
Pages : 476

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Book Description


Numerical Notation

Numerical Notation PDF Author: Stephen Chrisomalis
Publisher: Cambridge University Press
ISBN: 0521878187
Category : Mathematics
Languages : en
Pages : 497

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Book Description
This book is a cross-cultural reference volume of all attested numerical notation systems, encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defies unilinear evolutionary models, Stephen Chrisomalis identifies five basic types of numerical notation systems, tracks relationships between systems, and creates a general model of change that incorporates social, historical, and cognitive factors.

A History of Mathematical Notations

A History of Mathematical Notations PDF Author: Florian Cajori
Publisher:
ISBN:
Category :
Languages : en
Pages : 367

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Book Description


A History of Mathematics

A History of Mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 472

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Book Description


Reckonings

Reckonings PDF Author: Stephen Chrisomalis
Publisher: MIT Press
ISBN: 026236087X
Category : Mathematics
Languages : en
Pages : 265

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Book Description
Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.