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Numbers: A Very Short Introduction
Numbers are integral to our everyday lives and factor into almost everything we do. In this Very Short Introduction, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics. Indeed, Higgins paints a crystal-clear picture of the number world, showing how the modern number system matured over many centuries, and introducing key concepts such as integers, fractions, real and imaginary numbers, and complex numbers. Higgins sheds light on such fascinating topics as the series of primes, describing how primes are now used to encrypt confidential data on the internet. He also explores the infinite nature of number collections and explains how the so-called real numbers knit together to form the continuum of the number line. Written in the fashion of Higgins' highly popular science paperbacks, Numbers accurately explains the nature of numbers and how so-called complex numbers and number systems are used in calculations that arise in real problems.
Peter M. Higgins (Author), Nigel Patterson (Narrator)
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Numbers Don't Lie: 71 Things You Need to Know About the World
Brought to you by Penguin. Is flying dangerous? How much do the world's cows weigh? And what makes people happy? From earth's nations and inhabitants, through the fuels and foods that energize them, to the transportation and inventions of our modern world - and how all of this affects the planet itself - in Numbers Don't Lie, Professor Vaclav Smil takes us on a fact-finding adventure, using surprising statistics and illuminating graphs to challenge lazy thinking. Packed with 'Well-I-never-knew-that' information and with fascinating and unusual examples throughout, we find out how many people it took to build the Great Pyramid, that vaccination yields the best return on investment, and why electric cars aren't as great as we think (yet). There's a wonderful mix of science, history and wit, all in bite-sized chapters on a broad range of topics. Urgent and essential, Numbers Don't Lie inspires readers to interrogate what they take to be true in these significant times. Smil is on a mission to make facts matter, because after all, numbers may not lie, but which truth do they convey? 'There is no author whose books I look forward to more than Vaclav Smil' Bill Gates 'The best book to read to better understand our world. Once in a while a book comes along that helps us see our planet more clearly. By showing us numbers about science, health, green technology and more, Smil's book does just that. It should be on every bookshelf!' Linda Yueh, author of The Great Economists 'He is rigorously numeric, using data to illuminate every topic he writes about. The word 'polymath' was invented to describe people like him' Bill Gates 'Important' Mark Zuckerberg, on Energy 'One of the world's foremost thinkers on development history and a master of statistical analysis . . . The nerd's nerd' Guardian 'There is perhaps no other academic who paints pictures with numbers like Smil' Guardian 'In a world of specialized intellectuals, Smil is an ambitious and astonishing polymath who swings for fences . . . They're among the most data-heavy books you'll find, with a remarkable way of framing basic facts' Wired 'He's a slayer of bullshit' David Keith, Gordon McKay Professor of Applied Physics & Professor of Public Policy, Harvard University © Vaclav Smil 2020 (P) Penguin Audio 2020
Vaclav Smil (Author), Stephen Perring (Narrator)
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Numbercrunch: A Mathematician's Toolkit for Making Sense of Your World
'Lucid and entertaining. With barely an equation in sight, Numbercrunch makes a passionate case for how just a little bit more numeracy could help us all' - Tom Whipple, The Times 'The perfect introduction to the power of mathematics - fluent, friendly and practical' - Tim Harford, bestselling author of How to Make the World Add Up In our hyper-modern world, we are bombarded with more facts, stats and information than ever before. So, what can we grasp hold of to make sense of it all? Oliver Johnson reveals how mathematical thinking can help us understand the myriad data all around us. From the exponential growth of viruses to social media filter-bubbles; from share-price fluctuations to growth of computing power; from the datafication of our sports pages to quantifying climate change. Not to mention the things much closer to home: ever wondered when the best time is to leave a party? What are the chances of rain ruining your barbecue this weekend? How about which queue is the best to join in the supermarket? Journeying through the three sections of Randomness, Structure, and Information, we meet a host of brilliant minds such Alan Turing, Enrico Fermi and Claude Shannon, and we learn the tools, tips and tricks to cut through the noise all around us - from the Law of Large Numbers to Entropy to Brownian Motion. Lucid, surprising, and endlessly entertaining, Numbercrunch equips you with a definitive mathematician's toolkit to make sense of your world.
Professor Oliver Johnson (Author), Mark Elstob (Narrator)
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Number Theory: A Very Short Introduction
Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no one has ever been able to resolve them. But number theory has also recently become of great practical importance-in the area of cryptography, where the security of your credit card, and indeed of the nation's defense, depends on a result concerning prime numbers that dates back to the eighteenth century. Recent years have witnessed other spectacular developments, such as Andrew Wiles's proof of 'Fermat's last theorem' (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the most interesting and creative problems in the area in their historical context.
Robin Wilson (Author), Al Kessel (Narrator)
Audiobook
In old times, number theory was also known as arithmetic. However, now arithmetic and number theory are considered as separate branches from each other's, it was not same in old times. Number theory is one of the many important branches of pure mathematics. This branch is mainly dedicated and includes study about integers. This theory describes many fundamental and basic concepts of mathematics that were used to develop modern concepts. Thus, number theory is often referred as "Queen of Mathematics". In number theory, following concepts are described: Concept of prime numbersProperties of objects that are derived through integersGeneralization of integersRational numbers and algebraic integers are significant concepts that are included in number theory. In number theory, integers are considered as a solution to a particular problem. This concept is known as Riemann Zeta Function. However, it is not necessary to consider them as solution only; they can also be considered in themselves. Study of analytical objects helps to understand questions in number theory. Properties of integers, prime numbers and number-theoretic objects are described in Riemann Zeta Function. These properties can be studied descriptively in a separated branch named analytic number theory. In Diophantine approximation, real numbers are learnt in ration to relational number. In older terms, arithmetic was used to refer number theory. However, it was separated in early 20th century. Arithmetic word is now used to refer to general elementary calculations. Term arithmetic is now used in many fields such as: Mathematical logicPeano arithmetic Computer scienceFloating point arithmeticIn late 20th century, French theorists leaved a noticeable impact on number theory. Due to their influence, they again related tern arithmetic with number theory. However, many theorists argued upon this and denied to accept this as it was already proven false in past time. However, term arithmetical is now considered as adjective to number-theoretic. Early 20th century was a golden time for development of number theory, especially the time span of 1930s and 1940s. Many important results were acquired in that period. Later on, 1970s was proven an important period as well with the development of computational complexity theory. Number theory is an important branch of pure mathematics since it contains many basic concepts that are used to build up complex concepts of pure mathematics. One who is looking for a breakthrough in broad term mathematics is suggested to start from this theory. It will clear up basic concepts so it will be surprisingly easy to understand complex concepts. This short book describes all the basic concepts without going in too deep. So, one can use this basic knowledge to understand complex concepts easily and effectively.
Introbooks, Introbooks Team (Author), Andrea Giordani, Introbooks (Narrator)
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Newton y la gravedad en 90 minutos
Newton es uno de los científicos más influyentes de la historia. No solo desarrolló y formuló la teoría de la gravedad, proporcionando a la humanidad un primer atisbo del funcionamiento del universo, sino que, además, descubrió el concepto de fuerza, la naturaleza de la luz y cambió nuestra manera de calcular. Los descubrimientos de Newton transformarían para siempre la forma en que percibimos el mundo. Newton y la gravedad resume brillantemente la vida y la obra de Newton, y explica, de un modo claro y accesible, el significado y la importancia de los descubrimientos que realizó, así como la manera en que éstos han transformado nuestra vida diaria.
Paul Strathern (Author), Marco Lubián (Narrator)
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New Developments in Statistics
Statistics has been derived from the Latin word 'status, an Italian word 'statist' or a German word 'Statistic', all of which means a 'political state'. The use of statistics has been employed in various fields like biostatics, agriculture, economics, sociology, business management etc. The field of statistics is not afresh, and its beginning can be dated back to the times of the beginning of the human activities. However, the utilization of statistics has increased over the years when it first began to be used. In the earlier times statistics was referred to as the science of statecraft and was used for collecting data related to population count in the ruler's area, crime, mortality, income, birth rate and was also used for keeping a track of the key events of the time for administrative purposes. However, in the modern times, the use of statistics has been employed in a variety of fields. Its use has been extended in the areas of formulation and prediction of future plans and policies of the state administration. The word statistics is used in multiple number of ways depending on its use. There are some instances where it is used in plural form that reflects upon the word 'statistics' being referred to as numerical data and statements. There are other instances where it is used in singular form to refer to the subject of study just like any other subject like mathematics, economics etc. The importance of statistics has subsequently increased over all these passing years. It is because of the benefits that it provides to the user. The statistical findings have made assumption of anomalous information easy. In fact, the use of the statistical thinking has become necessary for the citizens.
Introbooks, Introbooks Team (Author), Andrea Giordani, Introbooks (Narrator)
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Nabokov's Favorite Word Is Mauve: What the Numbers Reveal About the Classics, Bestsellers, and Our O
In Nabokov's Favorite Word Is Mauve, statistician and journalist Ben Blatt brings big data to the literary canon, exploring the wealth of fun findings that remain hidden in the works of the world's greatest writers. He assembles a database of thousands of books and hundreds of millions of words, and starts asking the questions that have intrigued curious word nerds and book lovers for generations: What are our favorite authors' favorite words? Do men and women write differently? Are bestsellers getting dumber over time? Which bestselling writer uses the most cliches? What makes a great opening sentence? How can we judge a book by its cover? And which writerly advice is worth following or ignoring? Blatt draws upon existing analysis techniques and invents some of his own. All of his investigations and experiments are original, conducted himself, and no math knowledge is needed to understand the results. This eye-opening book will provide you with a new appreciation for your favorite authors and a fresh perspective on your own writing, illuminating both the patterns that hold great prose together and the brilliant flourishes that make it unforgettable.
Ben Blatt (Author), Vikas Adam (Narrator)
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From the end of the 19th century until his death, one of history's most brilliant mathematicians languished in an asylum. The Mystery of the Aleph tells the story of Georg Cantor (1845-1918), a Russian-born German who created set theory, the concept of infinite numbers, and the "continuum hypothesis," which challenged the very foundations of mathematics. His ideas brought expected denunciation from established corners - he was called a "corruptor of youth" not only for his work in mathematics, but for his larger attempts to meld spirituality and science.
Amir D. Aczel (Author), Henry Levya, Henry Leyva (Narrator)
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For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K-12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.
Paul Lockhart (Author), Kyle Tait (Narrator)
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Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything
'Another terrific book by Rob Eastaway' SIMON SINGH 'A delightfully accessible guide to how to play with numbers' HANNAH FRY How many cats are there in the world? What's the chance of winning the lottery twice? And just how long does it take to count to a million? Learn how to tackle tricky maths problems with nothing but the back of an envelope, a pencil and some good old-fashioned brain power. Join Rob Eastaway as he takes an entertaining look at how to figure without a calculator. Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers.
Rob Eastaway (Author), Rob Eastaway (Narrator)
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Mathematics: A Very Short Introduction
The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as 'Is it true that mathematicians burn out at the age of twenty-five?'). It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.
Timothy Gowers (Author), Craig Jessen (Narrator)
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