Infinity A Very Short Introduction PDF Download
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Author | : Ian Stewart |
Publisher | : Oxford University Press |
Total Pages | : 161 |
Release | : 2017 |
Genre | : Mathematics |
ISBN | : 0198755236 |
Download Infinity Book in PDF, ePub and Kindle
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.
Author | : Timothy Gowers |
Publisher | : Oxford Paperbacks |
Total Pages | : 172 |
Release | : 2002-08-22 |
Genre | : Mathematics |
ISBN | : 9780192853615 |
Download Mathematics: A Very Short Introduction Book in PDF, ePub and Kindle
The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.
Author | : Ian Stewart |
Publisher | : Oxford University Press |
Total Pages | : 161 |
Release | : 2017-03-16 |
Genre | : Mathematics |
ISBN | : 0191071501 |
Download Infinity: A Very Short Introduction Book in PDF, ePub and Kindle
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) is intimately 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 of mathematics 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, intellectual exercise 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, and enthusiasm to make interesting and challenging topics highly readable.
Author | : Ian Stewart |
Publisher | : OUP Oxford |
Total Pages | : 173 |
Release | : 2013-05-30 |
Genre | : Mathematics |
ISBN | : 019165275X |
Download Symmetry: A Very Short Introduction Book in PDF, ePub and Kindle
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. 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.
Author | : Paolo Zellini |
Publisher | : Penguin Global |
Total Pages | : 212 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : |
Download A Brief History of Infinity Book in PDF, ePub and Kindle
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.
Author | : Peter M. Higgins |
Publisher | : Oxford University Press |
Total Pages | : 153 |
Release | : 2011-02-24 |
Genre | : Mathematics |
ISBN | : 0199584052 |
Download Numbers: A Very Short Introduction Book in PDF, ePub and Kindle
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.
Author | : Stephen Eric Bronner |
Publisher | : Oxford University Press |
Total Pages | : 161 |
Release | : 2017 |
Genre | : Literary Criticism |
ISBN | : 0190692677 |
Download Critical Theory Book in PDF, ePub and Kindle
Preface -- Introduction: what is critical theory? -- The frankfurt school -- A matter of method -- Critical theory and modernism -- Alienation and reification -- Enlightened illusions -- The utopian laboratory -- The happy consciousness -- The great refusal -- From resignation to renewal -- Unfinished tasks -- Further reading -- Index
Author | : David Deutsch |
Publisher | : Penguin UK |
Total Pages | : 571 |
Release | : 2011-03-31 |
Genre | : Science |
ISBN | : 0141969695 |
Download The Beginning of Infinity Book in PDF, ePub and Kindle
'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Author | : Frank Close |
Publisher | : Oxford University Press, USA |
Total Pages | : 177 |
Release | : 2009-06-25 |
Genre | : History |
ISBN | : 0199225869 |
Download Nothing: A Very Short Introduction Book in PDF, ePub and Kindle
What is 'the void'? What remains when you take all the matter away? Can empty space - 'nothing' - exist? This text explores the science & history of the elusive void - from Aristotle's theories to black holes & quantum particles, & why our very latest discoveries about the vacuum can tell us extraordinary things about the cosmos.
Author | : K. G. Binmore |
Publisher | : Oxford University Press, USA |
Total Pages | : 201 |
Release | : 2007-10-25 |
Genre | : Business & Economics |
ISBN | : 0199218463 |
Download Game Theory: A Very Short Introduction Book in PDF, ePub and Kindle
Games are played everywhere: from economics to evolutionary biology, and from social interactions to online auctions. This title shows how to play such games in a rational way, and how to maximize their outcomes.