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.

Numbers are integral to our everyday lives and factor into almost everything we do. In this Very Short Introduction audiobook, 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.

"Correlation does not imply causation". This mantra has been invoked by scientists for decades and has led to a virtual prohibition on causal talk. But today, that taboo is dead. The causal revolution, sparked by Judea Pearl and his colleagues, has cut through a century of confusion and placed causality - the study of cause and effect - on a firm scientific basis.

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.

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.

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. Uncertainty, probabilistic physics, complementarity, the problematic character of measurement, and decoherence are among the many topics discussed.

How much faith should we place in what scientists tell us? Is it possible for scientific knowledge to be fully "objective"? What, really, can be defined as science? In the second edition of this very short introduction, Samir Okasha explores the main themes and theories of contemporary philosophy of science and investigates fascinating, challenging questions such as these.

An idiom is a group of words with a special meaning of its own that is not clear from the meanings of the individual words. Idioms such as "think out of the box" and "a long shot" are used extensively in English in e-mail, newspapers, and conversations. When you don't understand idioms, you can feel left out of a conversation or miss the point of a story. This audiobook focuses on 100 frequently used idioms.

極上の1000語と、洗練された英文　これが知識層の「当たり前」
※この書籍は2008年発行の『究極の英単語セレクション』を新装したものです。内容は基本的に変わりません

This book is a clear and informative introduction to cryptography and data protection - subjects of considerable social and political importance. It explains what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned. Important areas are highlighted, such as Stream Ciphers, block ciphers, public key algorithms, digital signatures, and applications such as e-commerce.

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 flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity.

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

Linguistics falls in the gap between arts and science, on the edges of which the most fascinating discoveries and the most important problems are found. Rather than following the conventional organization of many contemporary introductions to the subject, the author of this stimulating guide begins his discussion with the oldest, "arts" end of the subject and moves chronologically through to the newest research - the "science" aspects.

潜在記憶能力がグンと高まる！

ヨーロッパで広く使われている英語教授法『サジェストペディア』
を応用して作られた画期的音声教材。リラックスした状態で
マスターしたい部分を、繰り返し聞くだけ。リピートの必要はありません。
α波を引き出すBGMの使用で効果 は倍増！

※本商品は英語の単語集になります。

※本商品は「英検1級に必ず出る英単語922と英熟語597」(こう書房刊 宮野智靖著
ISBN:4-7696-0573-0 264頁 1,325円(税込))をオーディオ化したものです。

本オーディオブックを全部走りながらお聴きいただいたら、約 16 km、960 kcal 消費できます。

好評だった前著、『究極の英単語セレクション～極上の1000語』（現：『究極の英単語プレミアムVol.1』を受けて、さらに難度を上げ、内容をアップデータした新著が誕生しました！

In this Very Short Introduction, Simon Horobin investigates how we have arrived at the English we know today and celebrates the way new speakers and new uses mean that it continues to adapt. Engaging with contemporary concerns about correctness, Horobin considers whether such changes are improvements or evidence of slipping standards.

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a groundbreaking field that analyzes how to play games in a rational way. 

TOEIC満点を超えて、ネイティブも驚く語彙マスターになる!■アルクの人気単語学習書「究極の英単語Vol.4」の音声版!/書籍『究極の英単語SVL Vol.4超上級の3000語』は、アルクが編集した「標準語彙水準12000」(Standard Vocabulary List、SVL 12000)の超上級レベルにあたる3000語を完全収録。Vol. 1~3とこの3000語を合わせれば、TOEICテストや英検に出題される語彙をカバーし、英文雑誌が余裕で読みこなせるレベルの語彙を習得できます。■本商品は、書籍に掲載されているSVLの単語を複数含んだ覚えやすい638の例文Power Sentencesと、単語リストWord Listの音声(ともに英語のみ)を収録したものです。全3000語の単語の発音が確認できます。テキスト情報は含まれておりません。本コンテンツの利用に際しては、書籍「究極の英単語SVL Vol.4超上級の3000語」(アルク発行)が必要です。予めご注意ください。※「標準語彙水準12000」:アルクが長年蓄積してきた膨大な英文データから「日本人英語学習者にとっての有用性」「ネイティブスピーカーの使用頻度」を基準に選び出した、12000語の重要英単語リスト。◇対象レベル◇英語上級

潜在記憶能力がグンと高まる！

ヨーロッパで広く使われている英語教授法『サジェストペディア』
を応用して作られた画期的音声教材。リラックスした状態で
マスターしたい部分を、繰り返し聞くだけ。リピートの必要はありません。
α波を引き出すBGMの使用で効果 は倍増！

※本商品は英語の単語集になります。

The Last Leaf is a short story by O. Henry published in his 1907 collection The Trimmed Lamp and Other Stories. The story first appeared on October 15, 1905, in the New York World. The scene of the story of The Last Leaf is the Greenwich artist colony in New York City. Over the past century, it has developed from a poor literati settlement to a world-famous art center and tourist attraction.

When Fortune 100 corporations are stymied, it's the "McKinsey-ites" whom they call for help. Former McKinsey associate Ethan Rasiel lifts the veil to show you how the secretive McKinsey works its magic, and helps you emulate the firm's well-honed practices in problem solving, communication, and management. Both a behind-the-scenes look at one of the most admired and secretive companies in the business world and a toolkit of problem-solving techniques without peer, The McKinsey Way empowers every business decision maker to become a better strategic player in any organization.

This is a story from the The Happy Prince and Other Stories collection.

Data Science for Dummies is the perfect starting point for IT professionals and students who want a quick primer on all areas of the expansive data science space. With a focus on business cases, the book explores topics in big data, data science, and data engineering, and how these three areas are combined to produce tremendous value. If you want to pick-up the skills you need to begin a new career or initiate a new project, listening to this book will help you understand what technologies, programming languages, and mathematical methods on which to focus.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

「殺人があったのは二十二年前の今日――」。ディケンズ『バーナビー・ラッジ』とポーによるその書評、英国最初の長篇推理小説と言える「ノッティング・ヒルの謎」を含む、古典的傑作八篇を収録(本邦初訳を含む)。