Mathematics

Author: Timothy Gowers

Publisher: Sterling Publishing Company, Inc.

ISBN: 9781402768972

Category: Mathematics

Page: 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.

The History of Mathematics: A Very Short Introduction

Author: Jacqueline Stedall

Publisher: OUP Oxford

ISBN: 0191633968

Category: Mathematics

Page: 144

View: 5711

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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.

Applied Mathematics

Author: Alain Goriely

Publisher: Oxford University Press

ISBN: 0198754043

Category: Mathematics

Page: 168

View: 783

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Mathematics is playing an increasingly important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. 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

A Very Short Introduction

Author: Peter M. Higgins

Publisher: Oxford University Press, USA

ISBN: 0198732821

Category: Algebra

Page: 144

View: 8089

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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.--

Infinity: a Very Short Introduction

Author: Ian Stewart

Publisher: Oxford University Press

ISBN: 0198755236

Category: Mathematics

Page: 144

View: 8981

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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.

Mathematical Finance: a Very Short Introduction

Author: MARK H. A. DAVIS

Publisher: N.A

ISBN: 9780198787945

Category:

Page: 144

View: 4693

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Now a vital part of modern economies, the rapid growth of the finance industry in recent decades is largely due to the development of mathematical methods such as the theory of arbitrage. Asset valuation, credit trading, and fund management, now depend on these mathematical tools. Mark Davis explains the theories and their applications.

Combinatorics

A Very Short Introduction

Author: Robin Wilson

Publisher: Oxford University Press

ISBN: 0198723490

Category: Mathematics

Page: 144

View: 9631

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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.

Information: A Very Short Introduction

Author: Luciano Floridi

Publisher: Oxford University Press

ISBN: 0199551375

Category: Computers

Page: 130

View: 1738

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Luciano Floridi unpacks this fundamental concept - what information is, how it is measured, its value and meaning - cutting across the sciences and humanities, from DNA to the Internet, and the ethical issues related to privacy, copyright, and accessibility.

Symmetry: A Very Short Introduction

Author: Ian Stewart

Publisher: OUP Oxford

ISBN: 0199651981

Category: Mathematics

Page: 160

View: 8578

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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.

Newton

A Very Short Introduction

Author: Rob Iliffe

Publisher: Oxford University Press

ISBN: 0199298033

Category: History

Page: 141

View: 871

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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.

1089 oder das Wunder der Zahlen

eine Reise in die Welt der Mathematik

Author: David J. Acheson

Publisher: N.A

ISBN: 9783866470200

Category:

Page: 189

View: 1579

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Das Buch beginnt mit einem alten Zaubertrick - Man nehme eine 3-stellige Zahl, etwa 782, kehre sie um, ziehe die kleinere von der größeren ab und addiere dazu die Umkehrung. Also - 782 - 287 = 495, dann 495 + 594. Und schon ist man mitten in der Wunderwelt der Mathematik, denn das Ergebnis ist immer - 1089. Mit solchen und vielen weiteren Beispielen aus Alltag, Geschichte und Wissenschaft gelingt es David Acheson, die faszinierende Welt der Mathematik zu erschließen - ein geistreicher Überblick, eine für jeden verständliche Einführung.

Numbers: A Very Short Introduction

Author: Peter M. Higgins

Publisher: Oxford University Press

ISBN: 0199584052

Category: Mathematics

Page: 132

View: 3265

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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.

Probability: A Very Short Introduction

Author: John Haigh

Publisher: Oxford University Press

ISBN: 0199588481

Category: Mathematics

Page: 128

View: 6803

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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.

Statistics: A Very Short Introduction

Author: David J. Hand

Publisher: OUP Oxford

ISBN: 0191578924

Category: Mathematics

Page: 136

View: 1968

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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.

Fractals: A Very Short Introduction

Author: K. J. Falconer

Publisher: Oxford University Press

ISBN: 0199675988

Category: Mathematics

Page: 132

View: 1066

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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.

Das geheime Leben der Bäume

Was sie fühlen, wie sie kommunizieren - die Entdeckung einer verborgenen Welt

Author: Peter Wohlleben

Publisher: Ludwig

ISBN: 3641114004

Category: Nature

Page: 224

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Ein neuer Blick auf alte Freunde Erstaunliche Dinge geschehen im Wald: Bäume, die miteinander kommunizieren. Bäume, die ihren Nachwuchs, aber auch alte und kranke Nachbarn liebevoll umsorgen und pflegen. Bäume, die Empfindungen haben, Gefühle, ein Gedächtnis. Unglaublich? Aber wahr! – Der Förster Peter Wohlleben erzählt faszinierende Geschichten über die ungeahnten und höchst erstaunlichen Fähigkeiten der Bäume. Dazu zieht er die neuesten wissenschaftlichen Erkenntnisse ebenso heran wie seine eigenen unmittelbaren Erfahrungen mit dem Wald und schafft so eine aufregend neue Begegnung für die Leser: Wir schließen Bekanntschaft mit einem Lebewesen, das uns vertraut schien, uns aber hier erstmals in seiner ganzen Lebendigkeit vor Augen tritt. Und wir betreten eine völlig neue Welt ...

Relativity: A Very Short Introduction

Author: Russell Stannard

Publisher: OUP Oxford

ISBN: 9780191574047

Category: Mathematics

Page: 128

View: 2916

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100 years ago, Einstein's theory of relativity shattered the world of physics. Our comforting Newtonian ideas of space and time were replaced by bizarre and counterintuitive conclusions: if you move at high speed, time slows down, space squashes up and you get heavier; travel fast enough and you could weigh as much as a jumbo jet, be squashed thinner than a CD without feeling a thing - and live for ever. And that was just the Special Theory. With the General Theory came even stranger ideas of curved space-time, and changed our understanding of gravity and the cosmos. This authoritative and entertaining Very Short Introduction makes the theory of relativity accessible and understandable. Using very little mathematics, Russell Stannard explains the important concepts of relativity, from E=mc2 to black holes, and explores the theory's impact on science and on our understanding of the universe. 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.