Mathematics

Filename: mathematics.pdf
ISBN: 1402768974
Release Date: 2010-01
Number of pages: 180
Author: Timothy Gowers
Publisher: Sterling Publishing Company, Inc.

Download and read online Mathematics in PDF and EPUB Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers’s entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such paradoxical-sounding concepts as “infinity,” “curved space,” and “imaginary numbers.” From basic ideas to philosophical queries to common sociological questions about the mathematical community, this book unravels the mysteries of space and numbers.


The History of Mathematics A Very Short Introduction

Filename: the-history-of-mathematics-a-very-short-introduction.pdf
ISBN: 9780191633966
Release Date: 2012-02-23
Number of pages: 144
Author: Jacqueline Stedall
Publisher: OUP Oxford

Download and read online The History of Mathematics A Very Short Introduction in PDF and EPUB Mathematics is a fundamental human activity that can be practised and understood in a multitude of ways; indeed, mathematical ideas themselves are far from being fixed, but are adapted and changed by their passage across periods and cultures. In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day. Arranged thematically, to exemplify the varied contexts in which people have learned, used, and handed on mathematics, she also includes illustrative case studies drawn from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


Algebra

Filename: algebra.pdf
ISBN: 9780198732822
Release Date: 2015
Number of pages: 144
Author: Peter M. Higgins
Publisher: Oxford University Press, USA

Download and read online Algebra in PDF and EPUB This introduction invites readers to revisit algebra and appreciate the elegance and power of equations and inequalities. Offering a clear explanation of algebra through theory and example, Higgins shows how equations lead to complex numbers, matrices, groups, rings, and fields.--


Numbers A Very Short Introduction

Filename: numbers-a-very-short-introduction.pdf
ISBN: 9780199584055
Release Date: 2011
Number of pages: 132
Author: Peter M. Higgins
Publisher: Oxford University Press

Download and read online Numbers A Very Short Introduction in PDF and EPUB 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

Filename: statistics-a-very-short-introduction.pdf
ISBN: 9780191578922
Release Date: 2008-10-23
Number of pages: 136
Author: David J. Hand
Publisher: OUP Oxford

Download and read online Statistics A Very Short Introduction in PDF and EPUB Modern statistics is very different from the dry and dusty discipline of the popular imagination. In its place is an exciting subject which uses deep theory and powerful software tools to shed light and enable understanding. And it sheds this light on all aspects of our lives, enabling astronomers to explore the origins of the universe, archaeologists to investigate ancient civilisations, governments to understand how to benefit and improve society, and businesses to learn how best to provide goods and services. Aimed at readers with no prior mathematical knowledge, this Very Short Introduction explores and explains how statistics work, and how we can decipher them. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


Combinatorics

Filename: combinatorics.pdf
ISBN: 9780198723493
Release Date: 2016
Number of pages: 144
Author: Robin Wilson
Publisher: Oxford University Press

Download and read online Combinatorics in PDF and EPUB How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


Symmetry A Very Short Introduction

Filename: symmetry-a-very-short-introduction.pdf
ISBN: 9780199651986
Release Date: 2013-05-30
Number of pages: 160
Author: Ian Stewart
Publisher: OUP Oxford

Download and read online Symmetry A Very Short Introduction in PDF and EPUB 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.


Probability A Very Short Introduction

Filename: probability-a-very-short-introduction.pdf
ISBN: 9780199588480
Release Date: 2012-04-26
Number of pages: 128
Author: John Haigh
Publisher: Oxford University Press

Download and read online Probability A Very Short Introduction in PDF and EPUB 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.


Fractals A Very Short Introduction

Filename: fractals-a-very-short-introduction.pdf
ISBN: 9780199675982
Release Date: 2013-09-26
Number of pages: 132
Author: K. J. Falconer
Publisher: Oxford University Press

Download and read online Fractals A Very Short Introduction in PDF and EPUB An essential discussion of the popular science and mathematics behind fractals reveals how fractal shapes can be found everywhere in nature from clouds to coastlines, explaining how basic concepts in fractal geometry produced a revolution in mathematical understandings of patterns in the 20th century. Original.


Infinity a Very Short Introduction

Filename: infinity-a-very-short-introduction.pdf
ISBN: 9780198755234
Release Date: 2017-03-23
Number of pages: 144
Author: Ian Stewart
Publisher: Oxford University Press

Download and read online Infinity a Very Short Introduction in PDF and EPUB Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) isintimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas ofmathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectualexercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.


Logic A Very Short Introduction

Filename: logic-a-very-short-introduction.pdf
ISBN: 0192893203
Release Date: 2000-10-12
Number of pages: 128
Author: Graham Priest
Publisher: Oxford Paperbacks

Download and read online Logic A Very Short Introduction in PDF and EPUB This book is an introduction to modern formal logic. It is not a text book, however, but explores the philosophical roots of the subject. Each chapter takes some philosophical problem or logical conundrum, and explains how it may be handled in light of modern logic.


Newton

Filename: newton.pdf
ISBN: 9780199298037
Release Date: 2007-01-25
Number of pages: 141
Author: Rob Iliffe
Publisher: Oxford University Press

Download and read online Newton in PDF and EPUB Newton's contributions to an understanding of the heavens and the earth are considered to be unparalleled. This very short introduction explains his scientific theories, and uses Newton's unpublished writings to paint a picture of an extremely complex man whose beliefs had a huge impact on Europe's political, intellectual, and religious landscape.


Cryptography A Very Short Introduction

Filename: cryptography-a-very-short-introduction.pdf
ISBN: 9780192803153
Release Date: 2002-05-30
Number of pages: 142
Author: Fred Piper
Publisher: Oxford Paperbacks

Download and read online Cryptography A Very Short Introduction in PDF and EPUB This Very Short Introduction provides a clear and informative introduction to the science of codebreaking, and its explosive impact on modern society. Taking the reader through the actual processes of developing codes and deciphering them, the book explains what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned. Written in a fluid and lively style to appeal to the non-mathematical reader, this makes for fascinating reading.


Game Theory A Very Short Introduction

Filename: game-theory-a-very-short-introduction.pdf
ISBN: 9780199218462
Release Date: 2007-10-25
Number of pages: 184
Author: Ken Binmore
Publisher: Oxford University Press

Download and read online Game Theory A Very Short Introduction in PDF and EPUB Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a ground-breaking field that analyzes how to play games in a rational way. Ken Binmore, a renowned game theorist, explains the theory in a way that is both entertaining and non-mathematical yet also deeply insightful, revealing how game theory can shed light on everything from social gatherings, to ethical decision-making, to successful card-playing strategies, to calculating the sex ratio among bees. With mini-biographies of many fascinating, and occasionally eccentric, founders of the subject--including John Nash, subject of the movie A Beautiful Mind--this book offers a concise overview of a cutting-edge field that has seen spectacular successes in evolutionary biology and economics, and is beginning to revolutionize other disciplines from psychology to political science. About the Series: Oxford's Very Short Introductions offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, and Literary Theory to History. Not simply a textbook of definitions, each volume provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given topic. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how it has developed and influenced society. Whatever the area of study, whatever the topic that fascinates the reader, the series has a handy and affordable guide that will likely prove indispensable.


Sound

Filename: sound.pdf
ISBN: 9780198708445
Release Date: 2015-11-23
Number of pages: 144
Author: Mike Goldsmith
Publisher: Oxford University Press

Download and read online Sound in PDF and EPUB Sound is integral to how we experience the world, in the form of noise as well as music. But what is sound? What is the physical basis of pitch and harmony? And how are sound waves exploited in musical instruments? In this Very Short Introduction Mike Goldsmith looks at the science of sound and explores sound in different contexts, covering the audible and inaudible, sound underground and underwater, accoustic and electric, and hearing in humans and animals. He also considers the problem of sound out of place - noise and its reduction. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.