The History of Mathematics: A Very Short Introduction

Author: Jacqueline Stedall

Publisher: OUP Oxford

ISBN: 0191633968

Category: Mathematics

Page: 144

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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.

Mathematics: A Very Short Introduction

Author: Timothy Gowers

Publisher: Oxford Paperbacks

ISBN: 9780192853615

Category: Mathematics

Page: 143

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This book aims to explain, in clear non-technical language,what it is that mathematicians do, and how that differs from and builds on the mathematics that most people are familiar with from school. It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.

The History of Astronomy: A Very Short Introduction

Author: Michael Hoskin

Publisher: OUP Oxford

ISBN: 0191577731

Category: Science

Page: 136

View: 8215

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Astronomy, perhaps the first of the sciences, was already well developed by the time of Christ. Seventeen centuries later, after Newton showed that the movements of the planets could be explained in terms of gravitation, it became the paradigm for the mathematical sciences. In the nineteenth century the analysis of star-light allowed astrophysicists to determine both the chemical composition and the radial velocities of celestial bodies, while the development of photography enabled distant objects invisible to the human eye, to be studied and measured in comfort. Technical developments during and since the Second World War have greatly enlarged the scope of the science by permitting the study of radiation. This is a fascinating introduction to the history of Western astronomy, from prehistoric times to the origins of astrophysics in the mid-nineteenth century. Historical records are first found in Babylon and Egypt, and after two millennia the arithmetical astronomy of the Babylonians merged with the Greek geometrical approach to culminate in the Almagest of Ptolemy. This legacy was transmitted to the Latin West via Islam, and led to Copernicus's claim that the Earth is in motion. In justifying this Kepler converted astronomy into a branch of dynamics, leading to Newton's universal law of gravity. The book concludes with eighteenth- and nineteenth-century applications of Newton's law, and the first explorations of the universe of stars. 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 Physics: A Very Short Introduction

Author: J. L. Heilbron

Publisher: Oxford University Press

ISBN: 0191507040

Category: Science

Page: 184

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How does the physics we know today - a highly professionalised enterprise, inextricably linked to government and industry - link back to its origins as a liberal art in Ancient Greece? What is the path that leads from the old philosophy of nature and its concern with humankind's place in the universe to modern massive international projects that hunt down fundamental particles and industrial laboratories that manufacture marvels? This Very Short Introduction introduces us to Islamic astronomers and mathematicians calculating the size of the earth whilst their caliphs conquered much of it; to medieval scholar-theologians investigating light; to Galileo, Copernicus, Kepler, and Newton, measuring, and trying to explain, the universe. We visit the 'House of Wisdom' in 9th-century Baghdad; Europe's first universities; the courts of the Renaissance; the Scientific Revolution and the academies of the 18th century; and the increasingly specialised world of 20th and 21st century science. Highlighting the shifting relationship between physics, philosophy, mathematics, and technology - and the implications for humankind's self-understanding - Heilbron explores the changing place and purpose of physics in the cultures and societies that have nurtured it over the centuries. 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.

Chaos

A Very Short Introduction

Author: Leonard Smith

Publisher: Oxford University Press

ISBN: 0192853783

Category: Mathematics

Page: 180

View: 3062

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An introduction to chaotic behavior dynamics describes its behavior in both science and the real world.

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: 4079

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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.

Probability: A Very Short Introduction

Author: John Haigh

Publisher: OUP Oxford

ISBN: 0191636835

Category: Mathematics

Page: 144

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Making good decisions under conditions of uncertainty - which is the norm - requires a sound appreciation of the way random chance works. As analysis and modelling of most aspects of the world, and all measurement, are necessarily imprecise and involve uncertainties of varying degrees, the understanding and management of probabilities is central to much work in the sciences and economics. In this Very Short Introduction, John Haigh introduces the ideas of probability and different philosophical approaches to probability, and gives a brief account of the history of development of probability theory, from Galileo and Pascal to Bayes, Laplace, Poisson, and Markov. He describes the basic probability distributions, and goes on to discuss a wide range of applications in science, economics, and a variety of other contexts such as games and betting. He concludes with an intriguing discussion of coincidences and some curious paradoxes. 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.

Infinity: a Very Short Introduction

Author: Ian Stewart

Publisher: Oxford University Press

ISBN: 0198755236

Category: Mathematics

Page: 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.

Applied Mathematics: A Very Short Introduction

Author: Alain Goriely

Publisher: Oxford University Press

ISBN: 019106887X

Category: Mathematics

Page: 144

View: 320

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Mathematics is playing an increasing 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.

Statistics: A Very Short Introduction

Author: David J. Hand

Publisher: OUP Oxford

ISBN: 0191578924

Category: Mathematics

Page: 136

View: 3292

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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.

Newton

A Very Short Introduction

Author: Rob Iliffe

Publisher: Oxford University Press

ISBN: 0199298033

Category: History

Page: 141

View: 1636

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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.

Quantum Theory: A Very Short Introduction

Author: John Polkinghorne

Publisher: OUP Oxford

ISBN: 0191577677

Category: Science

Page: 128

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Quantum Theory is the most revolutionary discovery in physics since Newton. This book gives a lucid, exciting, and accessible account of the surprising and counterintuitive ideas that shape our understanding of the sub-atomic world. It does not disguise the problems of interpretation that still remain unsettled 75 years after the initial discoveries. The main text makes no use of equations, but there is a Mathematical Appendix for those desiring stronger fare. Uncertainty, probabilistic physics, complementarity, the problematic character of measurement, and decoherence are among the many topics discussed. 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 Scientific Revolution: A Very Short Introduction

Author: Lawrence Principe

Publisher: Oxford University Press

ISBN: 0199567417

Category: Science

Page: 148

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Lawrence M. Principe takes a fresh approach to the story of the scientific revolution, emphasising the historical context of the society and its world view at the time. From astronomy to alchemy and medicine to geology, he tells this fascinating story from the perspective of the historical characters involved.

Presocratic Philosophy: A Very Short Introduction

Author: Catherine Osborne

Publisher: Oxford University Press

ISBN: 0192840940

Category: Philosophy

Page: 144

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This is a book about the invention of Western philosophy, and the first thinkers to explore ideas about the nature of reality, time, and the origin of the universe. It begins with the finding of the new papyrus fragment of Empedocles' poem, and uses the story of its discovery and interpretation to highlight the way our understanding of early philosophers is marked by their presentation in later sources. Generations of philosophers, both ancient and modern, have traced their inspiration back to the presocratics, even though we have very few of their writings left. In this book, Catherine Osborne invites her readers to dip their toes into the fragmentary remains of thinkers from Thales to Pythagoras, Heraclitus to Protagoras, to try to fill in the bits of a jigsaw that has been rejigged many times and in many different ways. 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.

Measurement: A Very Short Introduction

Author: David J. Hand

Publisher: Oxford University Press

ISBN: 0191085022

Category: Mathematics

Page: 144

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Measurement is a fundamental concept that underpins almost every aspect of the modern world. It is central to the sciences, social sciences, medicine, and economics, but it affects everyday life. We measure everything - from the distance of far-off galaxies to the temperature of the air, levels of risk, political majorities, taxes, blood pressure, IQ, and weight. The history of measurement goes back to the ancient world, and its story has been one of gradual standardization. Today there are different types of measurement, levels of accuracy, and systems of units, applied in different contexts. Measurement involves notions of variability, accuracy, reliability, and error, and challenges such as the measurement of extreme values. In this Very Short Introduction, David Hand explains the common mathematical framework underlying all measurement, the main approaches to measurement, and the challenges involved. Following a brief historical account of measurement, he discusses measurement as used in the physical sciences and engineering, the life sciences and medicine, the social and behavioural sciences, economics, business, and public policy. 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.

Cosmology: A Very Short Introduction

Author: Peter Coles

Publisher: OUP Oxford

ISBN: 0191579440

Category: Science

Page: 160

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This book is a simple, non-technical introduction to cosmology, explaining what it is and what cosmologists do. Peter Coles discusses the history of the subject, the development of the Big Bang theory, and more speculative modern issues like quantum cosmology, superstrings, and dark matter. 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.

Navigation: A Very Short Introduction

Author: Jim Bennett

Publisher: Oxford University Press

ISBN: 0191053457

Category: History

Page: 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 standardised 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 endeavour 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. 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 Ancient Near East: A Very Short Introduction

Author: Amanda H. Podany

Publisher: Oxford University Press

ISBN: 019970323X

Category: History

Page: 168

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The ancient Near East is known as the "cradle of civilization"--and for good reason. Mesopotamia, Syria, and Anatolia were home to an extraordinarily rich and successful culture. Indeed, it was a time and place of earth-shaking changes for humankind: the beginnings of writing and law, kingship and bureaucracy, diplomacy and state-sponsored warfare, mathematics and literature. This Very Short Introduction offers a fascinating account of this momentous time in human history. The three thousand years covered here--from around 3500 BCE, with the founding of the first Mesopotamian cities, to the conquest of the Near East by the Persian king Cyrus the Great in 539 BCE-represent a period of incredible innovation, from the invention of the wheel and the plow, to early achievements in astronomy, law, and diplomacy. As historian Amanda Podany explores this era, she overturns the popular image of the ancient world as a primitive, violent place. We discover that women had many rights and freedoms: they could own property, run businesses, and represent themselves in court. Diplomats traveled between the capital cities of major powers ensuring peace and friendship between the kings. Scribes and scholars studied the stars and could predict eclipses and the movements of the planets. Every chapter introduces the reader to a particular moment in ancient Near Eastern history, illuminating such aspects as trade, religion, diplomacy, law, warfare, kingship, and agriculture. Each discussion focuses on evidence provided in two or three cuneiform texts from that time. These documents, the cities in which they were found, the people and gods named in them, the events they recount or reflect, all provide vivid testimony of the era in which they were written. About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.