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Infinity a Very Short Introduction

Infinity  a Very Short Introduction Author Ian Stewart
ISBN-10 9780198755234
Release 2017-03-23
Pages 144
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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.



Symmetry A Very Short Introduction

Symmetry  A Very Short Introduction Author Ian Stewart
ISBN-10 9780199651986
Release 2013-05-30
Pages 160
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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.



Mathematics

Mathematics Author Timothy Gowers
ISBN-10 1402768974
Release 2010-01
Pages 180
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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.



Numbers A Very Short Introduction

Numbers  A Very Short Introduction Author Peter M. Higgins
ISBN-10 9780199584055
Release 2011
Pages 132
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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.



Fractals A Very Short Introduction

Fractals  A Very Short Introduction Author K. J. Falconer
ISBN-10 9780199675982
Release 2013-09-26
Pages 132
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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.



Algebra A Very Short Introduction

Algebra  A Very Short Introduction Author Peter M. Higgins
ISBN-10 9780191047466
Release 2015-10-22
Pages 144
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Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical. This Very Short Introduction explains algebra from scratch. Over the course of ten logical chapters, Higgins offers a step by step approach for readers keen on developing their understanding of algebra. Using theory and example, he renews the reader's aquaintance with school mathematics, before taking them progressively further and deeper into the subject. 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.



A Brief History of Infinity

A Brief History of Infinity Author Brian Clegg
ISBN-10 9781472107640
Release 2013-02-07
Pages 160
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'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.



Marine Biology A Very Short Introduction

Marine Biology  A Very Short Introduction Author Philip V. Mladenov
ISBN-10 9780199695058
Release 2013-09-26
Pages 156
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In this Very Short Introduction, Philip Mladenov provides a fascinating overview of marine biology. Including a tour of marine life and marine processes that ranges from the polar oceans to tropical coral reefs, he outlines the principles of marine biology whilst demonstrating the fundamental impact humans have on the oceans and their ecology.



Gravity A Very Short Introduction

Gravity  A Very Short Introduction Author Timothy Clifton
ISBN-10 9780191045332
Release 2017-02-10
Pages 144
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Gravity is one of the four fundamental interactions that exist in nature. It also has the distinction of being the oldest, weakest, and most difficult force to quantize. Understanding gravity is not only essential for understanding the motion of objects on Earth, but also the motion of all celestial objects, and even the expansion of the Universe itself. It was the study of gravity that led Einstein to his profound realisations about the nature of space and time. Gravity is not only universal, it is also essential for understanding the behaviour of the Universe, and all astrophysical bodies within it. In this Very Short Introduction Timothy Clifton looks at the development of our understanding of gravity since the early observations of Kepler and Newtonian theory. He discusses Einstein's theory of gravity, which now supplants Newton's, showing how it allows us to understand why the frequency of light changes as it passes through a gravitational field, why GPS satellites need their clocks corrected as they orbit the Earth, and why the orbits of distant neutron stars speed up. Today, almost 100 years after Einstein published his theory of gravity, we have even detected the waves of gravitational radiation that he predicted. Clifton concludes by considering the testing and application of general relativity in astrophysics and cosmology, and looks at dark energy and efforts such as string theory to combine gravity with quantum mechanics. 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.



The History of Time A Very Short Introduction

The History of Time  A Very Short Introduction Author Leofranc Holford-Strevens
ISBN-10 9780191578007
Release 2005-08-11
Pages 160
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Why do we measure time in the way that we do? Why is a week seven days long? At what point did minutes and seconds come into being? Why are some calendars lunar and some solar? The organisation of time into hours, days, months and years seems immutable and universal, but is actually far more artificial than most people realise. The French Revolution resulted in a restructuring of the French calendar, and the Soviet Union experimented with five and then six-day weeks. Leofranc Holford-Strevens explores these questions using a range of fascinating examples from Ancient Rome and Julius Caesar's imposition of the Leap Year, to the 1920s' project for a fixed Easter. 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.



From Here to Infinity

From Here to Infinity Author Ian Stewart
ISBN-10 0192832026
Release 1996-04-04
Pages 310
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A retitled and revised edition of Ian Stewart's The Problem of Mathematics, this is the perfect guide to today's mathematics. Read about the latest discoveries, including Andrew Wile's amazing proof of Fermat's Last Theorem, the newest advances in knot theory, the Four Colour Theorem, Chaos Theory, and fake four-dimensial spaces. See how simple concepts from probability theory shed light on the National Lottery and tell you how to maximize your winnings. Discover howinfinitesimals become respectable, why there are different kinds of infinity, and how to square the circle with the mathematical equivalent of a pair of scissors.



Nothing A Very Short Introduction

Nothing  A Very Short Introduction Author Frank Close
ISBN-10 9780199225866
Release 2009-06-25
Pages 157
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An exploration of the concept of "nothing" journeys from ancient ideas and cultural traditions to the latest scientific research, discussing the history of the vacuum, theories on the nature of time and space, and other discoveries.



Navigation

Navigation Author Jim Bennett
ISBN-10 9780198733713
Release 2017-02-23
Pages 144
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From the Bronze Age mariners of the Mediterranean to contemporary sailors using satellite-based technologies, the history of navigation at sea, the art of finding a position and setting a course, is fascinating. The scientific and technological developments that have enabled accurate measurements of position were central to exploration, trade, and the opening up of new continents, and the resulting journeys taken under their influence have had a profound influence on world history. In this Very Short Introduction Jim Bennett looks at the history of navigation, starting with the distinctive cultures of navigation that are defined geographically - the Mediterranean Sea, and the Pacific, Indian, and Atlantic Oceans. He shows how the adoption of mathematical methods, the use of instruments, the writing of textbooks and the publication of charts all combined to create a more standardized practice. Methods such as longitude-finding by chronometer and lunar distance were complemented by the routine business of recording courses and reckoning position 'by account'. Bennett also introduces the incredible array of instruments relied on by sailors, from astrolabes, sextants, and chronometers, to our more modern radio receivers, electronic equipment, and charts, and highlights the crucial role played by the individual qualities of endeavor and resourcefulness from mathematicians, scientists, and seamen in finding their way at sea. The story of navigation combines the societal, the technical, and the human, and it was vital for shaping the modern world.



A Brief History of Infinity

A Brief History of Infinity Author Paolo Zellini
ISBN-10 0141007621
Release 2005
Pages 199
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In A Brief History of Infinity, the infinite in all its forms - viewed from the perspective of mathematicians, philosophers, and theologians - is explored, as Zellini strives to explain this fundamental principle. What is the difference between trueand false infinity? How might we explain away the puzzle of Zeno's paradox? And how is the concept of infinity helping us as we wrestle with the fundamental uncertainties of the quantum world? Paolo Zellini shows that the concept of the infinite is a multifaceted one, and eloquently demonstrates the manner in which humanity has attempted to comprehend that concept for millenia.



Philosophy in the Islamic World

Philosophy in the Islamic World Author Peter Adamson
ISBN-10 9780199683673
Release 2015-09
Pages 144
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In the history of philosophy, few topics are so relevant to today's cultural and political landscape as philosophy in the Islamic world. Yet, this remains one of the lesser-known philosophical traditions. In this Very Short Introduction, Peter Adamson explores the history of philosophy among Muslims, Jews, and Christians living in Islamic lands, from its historical background to thinkers in the twentieth century. Introducing the main philosophical themes of the Islamic world, Adamson integrates ideas from the Islamic and Abrahamic faiths to consider the broad philosophical questions that continue to invite debate: What is the relationship between reason and religious belief? What is the possibility of proving God's existence? What is the nature of knowledge? Drawing on the most recent research in the field, this book challenges the assumption of the cultural decline of philosophy and science in the Islamic world by demonstrating its rich heritage and overlap with other faiths and philosophies. 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.



Fungi A Very Short Introduction

Fungi  A Very Short Introduction Author Nicholas P. Money
ISBN-10 9780191002595
Release 2016-01-28
Pages 144
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The variety of the mycological world is far greater than most people imagine. Tens of thousands of fungal species have been described and many more are known only from the abundance of their genes in soil and water. Fungi are hugely important as agents of wood decay in forests, and, as parasites, they have caused the deaths of millions of people by ravaging crops and reshaping natural ecosystems. Fungi perform a variety of essential functions in ecosystems, and are important to both agriculture and biotechnology. Their importance is now becoming better appreciated among scientists, though there is much still to be understood concerning their taxonomy and evolution. This Very Short Introduction highlights the variety and extraordinary natures of fungi, revealing the remarkable facts of fungal biology and the global significance of these enchanting organisms. 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.



The Mathematics of Infinity

The Mathematics of Infinity Author Theodore G. Faticoni
ISBN-10 9780470049136
Release 2006-07-06
Pages 320
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The Mathematics of Infinity has been writing in one form or another for most of life. You can find so many inspiration from The Mathematics of Infinity also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Mathematics of Infinity book for free.