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.  

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.

This Very Short Introduction discusses the key concepts of biochemistry, as well as the historical figures in the field and the molecules they studied, before considering the current science and innovations in the field, and the interaction between biochemistry, biotechnology, and synthetic biology. 

TOEICテスト高得点を狙うならこの3000語!■アルクの人気単語学習書「究極の英単語Vol.2」の音声版!/書籍『究極の英単語SVL Vol.2中級の3000語』は、アルクが編集した「標準語彙水準12000」(Standard Vocabulary List、SVL 12000)の中級レベルにあたる3000語を完全収録。Vol.1と合わせて6000語の語彙を習得すればTOEIC高得点も夢ではありません。■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501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 Vo.2中級の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◇英語中級以上

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.

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.

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.

■人気書籍、アルク「キクジュクBasic 1800」の例文+チャンツ音声 本コンテンツには、書籍に付属の「チャンツ」音声と、チャンツに収録されている全687熟語を使った「例文」音声が収録されています。 ■大学入試やTOEIC対策など、さまざまな場面で役に立つ熟語の知識が身に付きます!収録されている687の熟語は、最新の語彙研究であるコーパスを分析した熟語リストを元に選ばれているため、大学入試やTOEIC対策はもちろん、英会話など、さまざまな場面で役に立つ熟語の知識が身に付きます。 ■チャンツを聞けば、1日2~3分で16語が押さえられる!音楽のリズムに乗って単語や熟語が学習できる、本コンテンツの「チャンツ音声」+単語の使用例も身につく「例文音声」を活用してください。 ※本商品にテキスト情報は含まれておりません。 ◆対象レベル◆・英語初級以上(C)ALC PRESS, INC.

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.

Something weird is going on! Miss Suki is a famous children's book author - and she's coming to A.J.'s school! She lives in the rainforest and writes about endangered animals. But when her pet raptor gets loose in the classroom, it's the kids who are going to be endangered! Yikes!

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. 

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.

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.

アメリカの主要な新聞・雑誌、TVニュース、日本の英字新聞、VOAなどをデータベースに、ニュース英語を理解するために必要な英単語を厳選。COVID19、オリンピック、米中貿易摩擦、IT関連

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.

Blackstone Audiobooks presents, from the unabridged collection A.A. Milne's Pooh Classics, the 44 poems and verses from When We Were Very Young performed by Peter Dennis. This is the only reading of these delightful verses authorized by A.A. Milne's son, Christopher Robin.

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. 

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！

If you're looking for a new hobby that's tons of fun—and practical to boot—electronics might be right up your alley. And getting started has never been easier! In Electronics All-in-One for Dummies, you'll find a plethora of information. Whether you're just getting started and trying to learn the difference between a circuit board and a breadboard, or you've got a handle on the fundamentals and are looking to get to the next level of electronics mastery, this book has the tools, techniques, and step-by-step guides you need to achieve your goals—and have a blast doing it!

「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)。

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

 David Hume, philosopher, historian, economist, librarian, and essayist, was one of the great figures of the European Enlightenment. Unlike some of his famous contemporaries, however, he was not dogmatically committed to idealized conceptions of reason, liberty, and progress.