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5. Numbers that count

5. Numbers that count  

Peter M. Higgins

in Numbers: A Very Short Introduction

Print Publication Year: 
Feb 2011
Published Online: 
Sep 2013
eISBN: 
9780191777820
DOI: 
10.1093/actrade/9780199584055.003.0005
Item type: 
chapter
ISBN: 
9780199584055
‘Numbers that count examines numbers that arise of their own accord in counting problems. Arithmetic and geometric series rely on a common difference and common ratio between terms ... More
3. Historical algorithms: simple examples

3. Historical algorithms: simple examples  

Fred Piper and Sean Murphy

in Cryptography: A Very Short Introduction

Print Publication Year: 
May 2002
Published Online: 
Sep 2013
eISBN: 
9780191775741
DOI: 
10.1093/actrade/9780192803153.003.0003
Item type: 
chapter
ISBN: 
9780192803153
‘Historical algorithms’ introduces some examples of simple symmetric algorithms that have now been replaced by modern cryptographic techniques. Caesar Cipher, described by Julius Caesar in ... More
6. Algebra and the arithmetic of remainders

6. Algebra and the arithmetic of remainders  

Peter M. Higgins

in Algebra: A Very Short Introduction

Print Publication Year: 
Oct 2015
Published Online: 
Oct 2015
eISBN: 
9780191797644
DOI: 
10.1093/actrade/9780198732822.003.0006
Item type: 
chapter
ISBN: 
9780198732822
‘Algebra and the arithmetic of remainders’ considers a new type of algebra, which is both an ancient topic and one that has found major contemporary application in Internet cryptography. It ... More
Algebra: A Very Short Introduction

Algebra: A Very Short Introduction  

Peter M. Higgins

Print Publication Year: 
Oct 2015
Published Online: 
Oct 2015
eISBN: 
9780191797644
DOI: 
10.1093/actrade/9780198732822.001.0001
Item type: 
book
ISBN: 
9780198732822
Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems in which some quantities are unknown. Now, ... More
1. Numbers and algebra

1. Numbers and algebra  

Peter M. Higgins

in Algebra: A Very Short Introduction

Print Publication Year: 
Oct 2015
Published Online: 
Oct 2015
eISBN: 
9780191797644
DOI: 
10.1093/actrade/9780198732822.003.0001
Item type: 
chapter
ISBN: 
9780198732822
‘Numbers and algebra’ introduces the number system and explains several terms used in algebra, including natural numbers, positive and negative integers, rational numbers, number ... More
2. The unending sequence of primes

2. The unending sequence of primes  

Peter M. Higgins

in Numbers: A Very Short Introduction

Print Publication Year: 
Feb 2011
Published Online: 
Sep 2013
eISBN: 
9780191777820
DOI: 
10.1093/actrade/9780199584055.003.0002
Item type: 
chapter
ISBN: 
9780199584055
‘The unending sequence of primes’ asks: How can we be sure that primes do not become extinct? A number of mathematical proofs have shown this. It can easily be shown that all primes are ... More
2. The Discovery of a Vocation

2. The Discovery of a Vocation  

Tom Sorell

in Descartes: A Very Short Introduction

Print Publication Year: 
Oct 2000
Published Online: 
Sep 2013
eISBN: 
9780191776632
DOI: 
10.1093/actrade/9780192854094.003.0002
Item type: 
chapter
ISBN: 
9780192854094
According to ‘The Discovery of a Vocation’, nothing in Descartes' early years pointed to his eventual career. He was educated at a Jesuit college where he showed a special aptitude for ... More
1. How many things are there?

1. How many things are there?  

Michael Beaney

in Analytic Philosophy: A Very Short introduction

Print Publication Year: 
Nov 2017
Published Online: 
Nov 2017
eISBN: 
9780191823442
DOI: 
10.1093/actrade/9780198778028.003.0002
Item type: 
chapter
ISBN: 
9780198778028
‘How many things are there?’ introduces Gottlob Frege (1848–1925), one of the main founders of analytic philosophy whose central concern was with the nature of mathematics, and arithmetic ... More

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