Pure Mathematics

Geometry: A Very Short Introduction

Maciej Dunajski

9780199683680
Paperback
27 January 2022

Very Short Introductions

This book provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and non-Euclidean geometries, to curved spaces, and the geometry of space-time inside a black hole, and outlines the role geometry plays in the broader context of science and art.

Number Theory: A Very Short Introduction

Robin Wilson

9780198798095
Paperback
28 May 2020

Very Short Introductions

Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.

Trigonometry: A Very Short Introduction

Glen Van Brummelen

9780198814313
Paperback
23 January 2020

Very Short Introductions

Rooted in ancient astronomy, trigonometry is mathematics' powerful toolkit for scientific measurement. It has been at the heart of the study of infinity, complex and imaginary numbers, and the shape of the space itself. Our experience of the universe has been made possible, and deeply challenged, by this surprisingly deep and fruitful subject.

Infinity: A Very Short Introduction

Ian Stewart

9780198755234
Paperback
23 March 2017

Very Short Introductions

Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications.

Complexity: A Very Short Introduction

John H. Holland

9780199662548
Paperback
24 July 2014

Very Short Introductions

In this Very Short Introduction, John Holland presents an introduction to the science of complexity. Using examples from biology and economics, he shows how complexity science models the behaviour of complex systems.

Fractals: A Very Short Introduction

Kenneth Falconer

9780199675982
Paperback
26 September 2013

Very Short Introductions

From the contours of coastlines to the outlines of clouds, fractal shapes can be found regularly in nature. This Very Short Introduction explains the basic concepts, presents the 'new geometry' of fractals, explores its wide range of applications, and shows the central place fractals have gained in mathematics and science in recent years.

Symmetry: A Very Short Introduction

Ian Stewart

9780199651986
Paperback
30 May 2013

Very Short Introductions

Symmetry is an immensely important concept in mathematics and throughout the sciences. In this Very Short Introduction, Ian Stewart highlights the deep implications of symmetry and its important scientific applications across the entire subject.

How to Study as a Mathematics Major

Lara Alcock

9780199661312
Paperback
10 January 2013

This no-nonsense book translates mathematics education research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics major, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time.

How to Study for a Mathematics Degree

Lara Alcock

9780199661329
Paperback
08 November 2012

This no-nonsense book translates mathematics education research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time.

Probability: A Very Short Introduction

John Haigh

9780199588480
Paperback
26 April 2012

Very Short Introductions

Making good decisions under conditions of uncertainty requires an appreciation of the way random chance works. In this Very Short Introduction, John Haigh provides a brief account of probability theory; explaining the philosophical approaches, discussing probability distributions, and looking its applications in science and economics.

Numbers: A Very Short Introduction

Peter M. Higgins

9780199584055
Paperback
24 February 2011

Very Short Introductions

In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.

Statistics: A Very Short Introduction

David J. Hand

9780199233564
Paperback
23 October 2008

Very Short Introductions

Statistics has evolved into an exciting discipline which uses deep theory and powerful software to shed light on the world around us: from clinical trials in medicine, to economics, sociology, and countless other subjects vital to understanding modern life. This Very Short Introduction explores and explains how statistics works today.

Mathematics: A Very Short Introduction

Timothy Gowers

9780192853615
Paperback
22 August 2002

Very Short Introductions

What Is Mathematics?: An Elementary Approach to Ideas and Methods

Second Edition

Richard Courant, Herbert Robbins, Ian Stewart

9780195105193
Paperback
05 September 1996