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3. Proofs

3. Proofs  

Timothy Gowers

in Mathematics: A Very Short Introduction

Print Publication Year: 
Aug 2002
Published Online: 
Sep 2013
eISBN: 
9780191776397
DOI: 
10.1093/actrade/9780192853615.003.0003
Item type: 
chapter
ISBN: 
9780192853615
‘Proofs’ is concerned with the concept of a proof, that is, an argument that puts a statement beyond all possible doubt. One of the most famous proofs in mathematics shows that the square ... More
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
2. Mating systems, or who goes with whom, and for how long

2. Mating systems, or who goes with whom, and for how long  

Leigh W. Simmons

in Sexual Selection: A Very Short Introduction

Print Publication Year: 
Aug 2018
Published Online: 
Aug 2018
eISBN: 
9780191823930
DOI: 
10.1093/actrade/9780198778752.003.0002
Item type: 
chapter
ISBN: 
9780198778752
‘Mating systems, or who goes with whom, and for how long’ examines the variation in how males and females associate during the breeding season, ranging from brief couplings with multiple ... More
7. Measurement and understanding

7. Measurement and understanding  

David J. Hand

in Measurement: A Very Short Introduction

Print Publication Year: 
Oct 2016
Published Online: 
Oct 2016
eISBN: 
9780191824609
DOI: 
10.1093/actrade/9780198779568.003.0007
Item type: 
chapter
ISBN: 
9780198779568
While the quest for increased accuracy may be driven by the needs of applications, the effort to achieve accuracy of measurement itself stimulates other developments, in terms of measuring ... 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
7. To infinity and beyond!

7. To infinity and beyond!  

Peter M. Higgins

in Numbers: A Very Short Introduction

Print Publication Year: 
Feb 2011
Published Online: 
Sep 2013
eISBN: 
9780191777820
DOI: 
10.1093/actrade/9780199584055.003.0007
Item type: 
chapter
ISBN: 
9780199584055
‘To infinity and beyond! explores the nature of infinity. Infinite sets of numbers behave differently from finite sets. Cantor proved that not all infinite sets have equally as many ... More
3. Fractal dimension

3. Fractal dimension  

Kenneth J. Falconer

in Fractals: A Very Short Introduction

Print Publication Year: 
Sep 2013
Published Online: 
Sep 2013
eISBN: 
9780191778599
DOI: 
10.1093/actrade/9780199675982.003.0003
Item type: 
chapter
ISBN: 
9780199675982
‘Fractal dimension’ shows how fractals are measured as we examine them ever more closely. Traditional geometric methods in three dimensions are inadequate for measuring fractals, so a ... More
5. Sexual selection after mating

5. Sexual selection after mating  

Leigh W. Simmons

in Sexual Selection: A Very Short Introduction

Print Publication Year: 
Aug 2018
Published Online: 
Aug 2018
eISBN: 
9780191823930
DOI: 
10.1093/actrade/9780198778752.003.0005
Item type: 
chapter
ISBN: 
9780198778752
Darwin viewed sexual selection as a process that ended with mate acquisition, assuming that females are fundamentally monogamous, mating with just one male. ‘Sexual selection after mating’, ... More
4. Quadratic equations

4. Quadratic 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/9780198732822.003.0004
Item type: 
chapter
ISBN: 
9780198732822
A quadratic equation is one involving a squared term and takes on the form ax2 + bx + c = 0. Quadratic expressions are central to mathematics, and quadratic approximations are extremely ... More
Measurement: A Very Short Introduction

Measurement: A Very Short Introduction  

David J. Hand

Print Publication Year: 
Oct 2016
Published Online: 
Oct 2016
eISBN: 
9780191824609
DOI: 
10.1093/actrade/9780198779568.001.0001
Item type: 
book
ISBN: 
9780198779568
Measurement is a fundamental concept central to the sciences, social sciences, medicine, economics, government, and indeed also to everyday life. The history of measurement goes back to the ... More
4. Sex roles and stereotypes

4. Sex roles and stereotypes  

Leigh W. Simmons

in Sexual Selection: A Very Short Introduction

Print Publication Year: 
Aug 2018
Published Online: 
Aug 2018
eISBN: 
9780191823930
DOI: 
10.1093/actrade/9780198778752.003.0004
Item type: 
chapter
ISBN: 
9780198778752
‘Sex roles and stereotypes’ examines the notion, implicit in many of the original ideas about sexual selection, that males and females have natural ‘roles’ with characteristic behaviour ... More
7. How sex makes species survive

7. How sex makes species survive  

Leigh W. Simmons

in Sexual Selection: A Very Short Introduction

Print Publication Year: 
Aug 2018
Published Online: 
Aug 2018
eISBN: 
9780191823930
DOI: 
10.1093/actrade/9780198778752.003.0007
Item type: 
chapter
ISBN: 
9780198778752
How new species come about is one of the most fundamental questions in biology. And because that process involves reproduction, and because reproduction often (though not always) means ... More
7. Investigating people’s past experiences

7. Investigating people’s past experiences  

Rodolfo Saracci

in Epidemiology: A Very Short Introduction

Print Publication Year: 
Feb 2010
Published Online: 
Sep 2013
eISBN: 
9780191777257
DOI: 
10.1093/actrade/9780199543335.003.0007
Item type: 
chapter
ISBN: 
9780199543335
The selection of cases is the starting point of case-control studies and obeys the fundamental and rather obvious principle that they should come from the same study population as the ... More
Numbers: A Very Short Introduction

Numbers: A Very Short Introduction  

Peter M. Higgins

Print Publication Year: 
Feb 2011
Published Online: 
Sep 2013
eISBN: 
9780191777820
DOI: 
10.1093/actrade/9780199584055.001.0001
Item type: 
book
ISBN: 
9780199584055
Numbers: A very Short Introduction unravels the world of numbers; demonstrating its richness, and providing a comprehensive view of the idea of the number. This VSI paints a picture of the ... More
3. Measurement in the physical sciences and engineering

3. Measurement in the physical sciences and engineering  

David J. Hand

in Measurement: A Very Short Introduction

Print Publication Year: 
Oct 2016
Published Online: 
Oct 2016
eISBN: 
9780191824609
DOI: 
10.1093/actrade/9780198779568.003.0003
Item type: 
chapter
ISBN: 
9780198779568
As new physical phenomena are discovered, new kinds of instruments have to be devised to measure them and old physical units are regularly redefined. It has also been necessary for ... More
2. What is measurement?

2. What is measurement?  

David J. Hand

in Measurement: A Very Short Introduction

Print Publication Year: 
Oct 2016
Published Online: 
Oct 2016
eISBN: 
9780191824609
DOI: 
10.1093/actrade/9780198779568.003.0002
Item type: 
chapter
ISBN: 
9780198779568
Measurement procedures can be placed on a continuum stretching from representational at one end to pragmatic at the other. Measurements in the physical sciences tend to have a heavier ... More

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