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9. Aftermath

9. Aftermath  

Robin Wilson

in Number Theory: A Very Short Introduction

Print Publication Year: 
May 2020
Published Online: 
May 2020
eISBN: 
9780191839351
DOI: 
10.1093/actrade/9780198798095.003.0009
Item type: 
chapter
ISBN: 
9780198798095
The Aftermath returns to some of the problems posed early in the book. The questions solved include: In which years does February have four Sundays? How many shuffles are needed to restore ... More
4. Agents, networks, degree, and recirculation

4. Agents, networks, degree, and recirculation  

John H. Holland

in Complexity: A Very Short Introduction

Print Publication Year: 
Jul 2014
Published Online: 
Jul 2014
eISBN: 
9780191780004
DOI: 
10.1093/actrade/9780199662548.003.0004
Item type: 
chapter
ISBN: 
9780199662548
‘Agents, networks, degree, and recirculation’ explains that when studying complex adaptive systems (CAS) in a grammar-like way, agents serve as the ‘alphabet’. The hierarchical organization ... 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
5. The algebra of polynomials and cubic equations

5. The algebra of polynomials and cubic equations  

Peter M. Higgins

in Algebra: A Very Short Introduction

Print Publication Year: 
Oct 2015
Published Online: 
Oct 2015
eISBN: 
9780191797644
DOI: 
10.1093/actrade/9780198732822.003.0005
Item type: 
chapter
ISBN: 
9780198732822
Polynomials are expressions of the form p(x) = a0 + a1x + a2x2 + ... + anxn ; the number ai is the coefficient of xi , a 0 is the constant ... More
9. All the world’s a net; or not?

9. All the world’s a net; or not?  

Guido Caldarelli and Michele Catanzaro

in Networks: A Very Short Introduction

Print Publication Year: 
Oct 2012
Published Online: 
Sep 2013
eISBN: 
9780191777936
DOI: 
10.1093/actrade/9780199588077.003.0009
Item type: 
chapter
ISBN: 
9780199588077
‘All the world's a net; or not?’ summarizes the extent and limitations of network science. There are warnings about the generalizations drawn from network theory, but the results of network ... More
6. and beyond, to complex things

6. and beyond, to complex things  

Glen Van Brummelen

in Trigonometry: A Very Short Introduction

Print Publication Year: 
Jan 2020
Published Online: 
Jan 2020
eISBN: 
9780191851896
DOI: 
10.1093/actrade/9780198814313.003.0006
Item type: 
chapter
ISBN: 
9780198814313
‘ … and beyond, to complex things’ first considers the Taylor series for the exponential function. One of the most famous, yet enigmatic, numbers in mathematics, e is an irrational number ... More
7. Applications in science, medicine, and operations research

7. Applications in science, medicine, and operations research  

John Haigh

in Probability: A Very Short Introduction

Print Publication Year: 
Apr 2012
Published Online: 
Sep 2013
eISBN: 
9780191777943
DOI: 
10.1093/actrade/9780199588480.003.0007
Item type: 
chapter
ISBN: 
9780199588480
‘Applications in science, medicine, and operations research’ applies theories of probability to a range of different subject areas. Brownian motion of particles in liquid was explained by ... More
8. Atoms of symmetry

8. Atoms of symmetry  

Ian Stewart

in Symmetry: A Very Short Introduction

Print Publication Year: 
May 2013
Published Online: 
Sep 2013
eISBN: 
9780191778292
DOI: 
10.1093/actrade/9780199651986.003.0009
Item type: 
chapter
ISBN: 
9780199651986
‘Atoms of symmetry’ introduces simple groups, which are the indivisible fragments of finite symmetry groups. A comparison can be made with prime numbers, but molecular structure provides a ... More
8. The banking crisis and its aftermath

8. The banking crisis and its aftermath  

Mark H. A. Davis

in Mathematical Finance: A Very Short Introduction

Print Publication Year: 
Jan 2019
Published Online: 
Jan 2019
eISBN: 
9780191829932
DOI: 
10.1093/actrade/9780198787945.003.0008
Item type: 
chapter
ISBN: 
9780198787945
What happened to the banks in 2008 and what has been the fallout for mathematical finance? ‘The banking crisis and its aftermath’ explains that for mathematical finance it has meant a ... More
6. Below the waterline of the number iceberg

6. Below the waterline of the number iceberg  

Peter M. Higgins

in Numbers: A Very Short Introduction

Print Publication Year: 
Feb 2011
Published Online: 
Sep 2013
eISBN: 
9780191777820
DOI: 
10.1093/actrade/9780199584055.003.0006
Item type: 
chapter
ISBN: 
9780199584055
‘Below the waterline of the number iceberg’ introduces numbers other than positive integers. Integers are all whole numbers, positive and negative, and can be arranged along a number line. ... More
4. Big data analytics

4. Big data analytics  

Dawn E. Holmes

in Big Data: A Very Short Introduction

Print Publication Year: 
Nov 2017
Published Online: 
Nov 2017
eISBN: 
9780191824616
DOI: 
10.1093/actrade/9780198779575.003.0004
Item type: 
chapter
ISBN: 
9780198779575
‘Big data analytics’ argues that big data is only useful if we can extract useful information from it. It looks at some of the techniques used to discover useful information from big data, ... More
5. Big data and medicine

5. Big data and medicine  

Dawn E. Holmes

in Big Data: A Very Short Introduction

Print Publication Year: 
Nov 2017
Published Online: 
Nov 2017
eISBN: 
9780191824616
DOI: 
10.1093/actrade/9780198779575.003.0005
Item type: 
chapter
ISBN: 
9780198779575
Big data analysis is changing the world of healthcare. Its potential has yet to be fully realized, but includes medical diagnosis, epidemic prediction, gauging public response to government ... More
8. Big data and society

8. Big data and society  

Dawn E. Holmes

in Big Data: A Very Short Introduction

Print Publication Year: 
Nov 2017
Published Online: 
Nov 2017
eISBN: 
9780191824616
DOI: 
10.1093/actrade/9780198779575.003.0008
Item type: 
chapter
ISBN: 
9780198779575
‘Big data and society’ considers how big data is changing the society we live in, through the development of sophisticated robots and their role in the workplace. It discusses smart ... More
7. Big data security and the Snowden case

7. Big data security and the Snowden case  

Dawn E. Holmes

in Big Data: A Very Short Introduction

Print Publication Year: 
Nov 2017
Published Online: 
Nov 2017
eISBN: 
9780191824616
DOI: 
10.1093/actrade/9780198779575.003.0007
Item type: 
chapter
ISBN: 
9780198779575
‘Big data security and the Snowden case’ looks at some of the security issues surrounding big data and the importance of encryption. Some of the problems facing big data systems include ... More
6. Big data, big business

6. Big data, big business  

Dawn E. Holmes

in Big Data: A Very Short Introduction

Print Publication Year: 
Nov 2017
Published Online: 
Nov 2017
eISBN: 
9780191824616
DOI: 
10.1093/actrade/9780198779575.003.0006
Item type: 
chapter
ISBN: 
9780198779575
Since the use of computers became feasible in commercial enterprise, there has been interest in using computers to improve efficiency, cut costs, and generate profits. When IBM launched the ... More
3. Building a sine table with your bare hands

3. Building a sine table with your bare hands  

Glen Van Brummelen

in Trigonometry: A Very Short Introduction

Print Publication Year: 
Jan 2020
Published Online: 
Jan 2020
eISBN: 
9780191851896
DOI: 
10.1093/actrade/9780198814313.003.0003
Item type: 
chapter
ISBN: 
9780198814313
Technological advances, so pervasive in almost every aspect of our modern lives, become mundane to us almost overnight. How does a calculator find out, apparently effortlessly, that ... More
6. Can you picture that? X‐rays, DNA, and photos

6. Can you picture that? X‐rays, DNA, and photos  

Alain Goriely

in Applied Mathematics: A Very Short Introduction

Print Publication Year: 
Feb 2018
Published Online: 
Feb 2018
eISBN: 
9780191815805
DOI: 
10.1093/actrade/9780198754046.003.0006
Item type: 
chapter
ISBN: 
9780198754046
Applied mathematics is also concerned with the manipulation and analysis of signals and data. In our digital world, where huge amounts of data are routinely collected, transmitted, ... More
4. Chance experiments

4. Chance experiments  

John Haigh

in Probability: A Very Short Introduction

Print Publication Year: 
Apr 2012
Published Online: 
Sep 2013
eISBN: 
9780191777943
DOI: 
10.1093/actrade/9780199588480.003.0004
Item type: 
chapter
ISBN: 
9780199588480
‘Chance experiments’ expands on the notion of distributions, which are central to analysing the consequences of chance experiments. For discrete data, probability can be determined using ... More
3. The classical theory of option pricing

3. The classical theory of option pricing  

Mark H. A. Davis

in Mathematical Finance: A Very Short Introduction

Print Publication Year: 
Jan 2019
Published Online: 
Jan 2019
eISBN: 
9780191829932
DOI: 
10.1093/actrade/9780198787945.003.0003
Item type: 
chapter
ISBN: 
9780198787945
‘The classical theory of option pricing’ explains the theory of arbitrage pricing, which is closely related to the Dutch Book Arguments, but which brings in a new factor: prices in ... More
7. Co-evolution and the formation of niches

7. Co-evolution and the formation of niches  

John H. Holland

in Complexity: A Very Short Introduction

Print Publication Year: 
Jul 2014
Published Online: 
Jul 2014
eISBN: 
9780191780004
DOI: 
10.1093/actrade/9780199662548.003.0007
Item type: 
chapter
ISBN: 
9780199662548
What is a niche? ‘Co-evolution and the formation of niches’ explains that the term ‘niche’ is widely used to describe an important part of the hierarchical organization of complex adaptive ... More

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