Engineering Mathematics

Can one prove that 1 + 1 = 2? How long is the coastline of Britain? Which US president proved Pythagoras's theorem on right-angled triangles? Who originated the quadratic equation we learned at school? In how many ways can you tile your bathroom? Is there a formula for prime numbers? How often are two winning lottery numbers consecutive? Who was the witch of Agnesi? What is "the most important theorem in mathematics"? Who scratched mathematical equations on a Dublin bridge? What is a "space-filling curve"? Must all infinities be the same size?

Starting with hands, abacus, and slide rule, humans have always reached for tools to simplify math. Pocket-sized calculators ushered in modern mathematics, helped build the atomic bomb, took us to the bottom of the ocean, and accompanied us to the moon. The pocket calculator changed our world, until it was supplanted by more modern devices that, in a cruel twist of irony, it helped to create. Keith Houston transports listeners from the nascent economies of the ancient world to World War II, and into the technological arms race that led to the first affordable electronic pocket calculators.

Sommes-nous guidés par le hasard ou par le destin ? Une histoire du déterminisme, de Newton jusqu'aux développements les plus récents de la théorie du chaos. Isaac Newton prévoit le mouvement des planètes Depuis Galilée et Newton, la physique et les mathématiques sont traversées par la question centrale du déterminisme : est-il possible de prévoir le futur à partir du présent ? Newton met au point un outil mathématique qui permet de prédire le mouvement des objets et des planètes. Ce faisant, et jusqu'au XIX siècle, il donne un élan d'optimisme conquérant à la science qui semble en état de résoudre tous les problèmes.

ニューヨーク・タイムズベストセラー！テクノロジーの加速度的な進歩による人間社会の変化を予測して、ことごとく的中させてきたカーツワイルの最新話題作が、ついに日本上陸。彼が予測するAIが人間の知性を超える2029年はあと5年後に迫っている。

Neste livro que já se tornou um clássico, David Spiegelhalter — um dos maiores estatísticos da atualidade — combina a visão incomparável de um especialista com o entusiasmo de um aficionado e oferece um verdadeiro guia para explorarmos a arte dessa ciência que é muito mais do que um ramo da matemática. Em A arte da estatística, David Spiegelhalter utiliza a resolução de questões do mundo real como ponto de partida para introduzir conceitos estatísticos, dos simples aos mais complexos, sempre com notório didatismo.

Math 101: A History of Numbers isn’t a textbook — it’s a story. A fast, listenable, journey through how we went from counting on our fingers to coding AI. From ancient bone tallies and Sumerian tokens to Renaissance ratios, algebraic revolutions, and modern machine logic, this book tracks the true evolution of math — not as cold formulas, but as a living system we built to make sense of the world.

Происхождение видов - opus magnum Дарвина, в котором он подробно и доступно обосновал теорию эволюции видов и естественного отбора как главного двигателя эволюции. Сейчас, когда с теорией эволюции знаком каждый школьник, невозможно даже представить себе, какой эффект произвел сначала в Англии, а потом и в других странах этот гениальный научный труд. Книга Дарвина, наряду с "Математическими началами натуральной философии" Ньютона, "О богатстве народов" Адама Смита, "Критикой чистого разума" Канта входит в золотой фонд человеческой мысли.

When we learn about abstract mathematical concepts—from prime numbers and fractals to aspects of calculus—the most common question is often: when on earth will I need this? To many of us, so-called "pure" mathematics is downright baffling. Yet these concepts are what underpin the world we live in, from internet security to the transmission of radio waves. When you start to think like a mathematician, the secrets of technology and modern life suddenly make sense.

脳はどう心を生み出すのか?数学、物理学、脳科学を横断しながら、脳と心の仕組みを解き明かす過程でたどり着いたのは「カオス理論」だった。

考える力・創造する力が育つ AIとも仲良くできる　数学は、君が幸せに生きていくための、魔法の言葉だ!数学ぎらいなんてもったいない!

In a time of dire need, as climate change, conflict, and economic upheaval imperil our existence and our mental well-being deteriorates from not utilising our minds as God intended, Francis Keith Robins introduces a groundbreaking approach to saving humanity – reshaping our thought processes through mathematics. In his book, The Fourth Coming, Robins provides a detailed, step-by-step guide to unlocking our inherent mathematical potential. His vision is to create a society that is inclusive, equal, and peaceful – one that aligns with God’s desire for us.

仕事も勉強も！　「小学校の算数だけで大丈夫！」偏差値35から東大合格、シリーズ43万部！◆「1/3で割る」の意味、わかりますか？◆たとえば「6÷3」を考えてみましょう。

The exploration of eternal shapes is an endeavor that transcends temporal boundaries, reaching into the depths of human history and cultural evolution. A study of these archetypal forms reveals their indispensable role in shaping the very fabric of existence, both tangible and metaphysical.

Numeri, figure geometriche e relazioni matematiche sono dovunque attorno a noi, talvolta in forma evidente, più spesso annidati nei meccanismi di funzionamento dell'universo. Ma in che modo - e perché - queste creazioni astratte della mente umana riescono a descrivere il mondo concreto dei fenomeni naturali, da quelli più familiari a quelli che hanno luogo nelle profondità della materia e del cosmo? Un filosofo e uno scienziato esplorano la capillare presenza della matematica nella natura, raccontando alcune delle sue manifestazioni più curiose e affascinanti.

Whether you are an educator, student, researcher, or administrator, it has become even more critical now more than ever to understand what contextualized math curriculum is and how it can be applied inside an online or face-to-face math classroom. What is contextualized mathematics? What are the foundational research underpinnings of contextualized math curriculum? What have we learned about contextualized math curriculum that will improve math education in the future?

Ведущий физик-теоретик Карло Ровелли обращается к фигуре древнегреческого философа Анаксимандра — автора первой научной концепции мироустройства, — чтобы проследить историю научной мысли. Автор тщательно реконструирует теории Анаксимандра на основе того, что нам известно, обращая особое внимание на их историко-философский контекст. В книге органично переплетаются описания первых концепций мироустройства и размышления видного ученого нашего времени о самой природе научного мышления.

Un estimulante viaje que comienza con la aparición de los números primos—objeto de profundas y sorprendentes investigaciones matemáticas a lo largo de los siglos—y nos lleva hasta los límites del infinito, el número más grande de todos y el único que consigue que las matemáticas y la filosofía encuentren un lugar común.

Eso no estaba en mi libro de Matemáticas va más allá del consabido texto en el que se exponen de forma más o menos ordenada ciertos tópicos aritméticos, geométricos o algebraicos. Por el contrario, esta obra es un compendio que aborda el vasto universo de las matemáticas dando cabida a contenidos en apariencia dispares e inconexos, pero tremendamente sugestivos para el oyente.

En sus páginas, amenas y cargadas de revelaciones, se dan cita personajes, problemas, procedimientos, recreaciones y paradojas del más variado tenor: desde el curioso origen de los símbolos matemáticos más usuales...

Dare senso al mondo, alle esperienze quotidiane e, ancor più, agli eventi che ci sorprendono o dai quali può dipendere la nostra sopravvivenza. Quante volte una dimenticanza o un impercettibile ritardo nel compiere un'azione hanno conseguenze importanti o addirittura drammatiche? È ciò che i matematici chiamano caos, un concetto che ha un'origine assai remota nel pensiero umano, condizione della bellezza della natura per i filosofi presocratici, forza speculare all'armonia nel taoismo.

In this Very Short Introduction Philip K. Maini describes the art of modeling, what it is, why we do it, and illustrates how the abstract way of thinking that is the essence of mathematics enables us to transfer knowledge from one area of research to another.