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PRELIMINARIES AND AGREEMENTS

Rolf Niedermeier

in Invitation to Fixed-Parameter Algorithms

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566076
eISBN:
9780191713910
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566076.003.0002
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter introduces the basic mathematical formalism and discusses concepts used throughout the book. Among other things, it looks at decision problems vs optimization problems, Random Access ... More


Statistics and Scientific Method: An Introduction for Students and Researchers

Peter J. Diggle and Amanda G. Chetwynd

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199543182
eISBN:
9780191774867
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199543182.001.0001
Subject:
Mathematics, Probability / Statistics, Biostatistics

An antidote to technique-oriented service courses, this book studiously avoids the recipe-book style and keeps algebraic details of specific statistical methods to the minimum extent necessary to ... More


Mathematics in Ancient Egypt: A Contextual History

Annette Imhausen

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691117133
eISBN:
9781400874309
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691117133.001.0001
Subject:
Mathematics, History of Mathematics

This book traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in ... More


Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

Joseph Mazur

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691173375
eISBN:
9781400850112
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691173375.001.0001
Subject:
Mathematics, History of Mathematics

While all of us regularly use basic mathematical 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 ... More


The Good Symbol

Joseph Mazur

in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691173375
eISBN:
9781400850112
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691173375.003.0021
Subject:
Mathematics, History of Mathematics

This chapter argues that a good symbol should tell a whole story, must have an intelligence of its own, and must be a guide to our own intelligence. It begins with a discussion of the symbol π‎, ... More


Notation

Philip Isett

in Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Published in print:
2017
Published Online:
October 2017
ISBN:
9780691174822
eISBN:
9781400885428
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174822.003.0004
Subject:
Mathematics, Computational Mathematics / Optimization

This chapter explains the notation for the basic construction of the correction. It employs the Einstein summation convention, according to which there is an implied summation when a pair of indices ... More


Vowels and Consonants

Joseph Mazur

in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691173375
eISBN:
9781400850112
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691173375.003.0015
Subject:
Mathematics, History of Mathematics

This chapter focuses on the evolution of the vowel–consonant notation. In particular, it discusses François Viète's contribution to algebra through his use of vowels to represent unknowns and ... More


Notation and syntax

Chris Sangwin

in Computer Aided Assessment of Mathematics

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199660353
eISBN:
9780191748257
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199660353.003.0005
Subject:
Mathematics, Educational Mathematics

Mathematical notation has a long and interesting history. It also has a profound influence on the mind. For mathematical computer aided assessment (CAA) students must enter their answer into the ... More


Curious Beginnings

Joseph Mazur

in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691173375
eISBN:
9781400850112
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691173375.003.0001
Subject:
Mathematics, History of Mathematics

This chapter traces the beginnings of mathematical notation. For tens of thousands of years, humans had been leaving signification marks in their surroundings, gouges on trees, footprints in hard ... More


Diophantus’s <i>Arithmetica</i>

Joseph Mazur

in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691173375
eISBN:
9781400850112
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691173375.003.0010
Subject:
Mathematics, History of Mathematics

This chapter discusses Diophantus's Arithmetica and its contribution to symbolic modern mathematics. Some historians in the past have suggested that algebra began with Diophantus, whose Arithmetica ... More


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