Engineering Mathematics

How can you be 100 percent sure you will win a bet? Why did so many Pompeians stay put while Mount Vesuvius was erupting? Are you more likely to work in a kitchen if your last name is Baker? Ever since the dawn of human civilization, we have been trying to make predictions about what the world has in store for us. For just as long, we have been getting it wrong. In How to Expect the Unexpected, mathematician Kit Yates uncovers the surprising science that undergirds our predictions—and how we can use it to our advantage.

Math is famous for its equations: 1 + 1 = 2, a^2 + b^2 = c^2, or y = mx + b. Much of the time it can seem like that’s all mathematics is: following steps to show that what’s on one side of an equation is the same as what’s on the other. In Unequal, Eugenia Cheng shows that’s just part of the story, and the boring part to boot. It isn’t even just about numbers and symbols at all, but a world of shapes, symmetries, logical ideas, and more.

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.

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.

Não estamos preparados para lidar com o aleatório e, por isso, não percebemos o quanto o acaso interfere em nossas vidas. Num tom irreverente, citando exemplos e pesquisas presentes em todos os âmbitos da vida, do mercado financeiro aos esportes, de Hollywood à medicina, Leonard Mlodinow apresenta de forma divertida e curiosa as ferramentas necessárias para identificar os indícios do acaso. Como resultado, nos ajuda a fazer escolhas mais acertadas e a conviver melhor com fatores que não podemos controlar.

Almost all of us have sat in a math class, wondering when we'd ever need to know how to find the roots of a polynomial or graph imaginary numbers. And in one sense, we were right: If we needed to, we'd use a computer. But as Ian Stewart argues in What's the Use?, math isn't just about boring computations. Rather, it offers us new and profound insights into our world, allowing us to accomplish feats as significant as space exploration and organ donation.

How many people achieve a cult following because of their writing in mathematics? Only a handful, and Martin Gardner is among the most well-known and well-loved. Not only did he present a notoriously difficult subject in an engaging and accessible way, but in doing so, he attracted an incredibly broad readership. His “Mathematical Games” column in Scientific American ran nearly every month for 26 years and was one of the most popular in the magazine’s history.

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.

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.

Al liceo Pietro Minto odiava la matematica. O meglio: si sentiva odiato, perseguitato, escluso da quei simboli e quelle formule simili a rune misteriose. Come molti, ammettiamolo. E come molti, uscito dalla maturità con il proverbiale calcio nel sedere, è ben deciso a lasciarsi tutto alle spalle: numeri, problemi, conti che non tornano mai. Ma l'incontro mancato con la matematica rimane dentro di lui come una ferita non rimarginata, un tarlo che scava la sua via per uscire: ormai adulto decide allora di lanciarsi in un'impresa che ha qualcosa di folle, ma proprio per questo anche di esaltante.

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.

What is the best way to think about the world? How often do we consider how our own thinking might impact the way we approach our daily decisions? Could it help or hinder our relationships, our careers, or even our health? As acclaimed mathematician David Sumpter shows, thinking about thinking is something we rarely do, yet it is something science questions all the time. He has spent decades studying what we could all learn from the mindsets of scientists, and Four Ways of Thinking is the result.

Лучшие математики человечества утверждали, что в числах зашифрованы ответы на многие вопросы о Вселенной, судьбе, будущем. Египетские, индийские мудрецы видели в числовых сочетаниях всю человеческую жизнь. А знаменитый Пифагор считал цифры кодом всего мира. С квадрата Пифагора начинается нумерология. Эта книга о тайной силе цифр. Автор — Мастер, который много лет работает с ними, — дает нам пошаговую методику анализа даты рождения и имени. Вы сможете рассчитать числа судьбы, имени, совместимости; понять ваши главные жизненные цели и задачи, распознать скрытые таланты и способности; научитесь предвидеть события и влиять на их исход.

Are the secrets of the universe written in words - or is it all about the digits? K. C. Cole follows up her paean to the power of physics, Sympathetic Vibrations, with this engaging and accessible guide to the might and majesty of mathematics. The Universe and the Teacup uses relatable examples and humorous prose to demonstrate math's ability to "translate the complexity of the world into manageable patterns".

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.

Adrián Paenza, galardonado con el Premio Leelavati al mejor divulgador del mundo en matemática, narra los problemas más curiosos sobre matemática recreativa. Uno de los primeros best sellers de autoayuda, fue publicado por primera vez en 1936 y lleva vendidas 15 millones de copias a nivel mundial.

We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can’t be such a thing as a "biggest number". Or can there? To find out, David Darling and Agnijo Banerjee embark on an epic quest, revealing the answers to questions like: are there more grains of sand on Earth or stars in the universe? Is there enough paper on Earth to write out the digits of a googolplex? And what is a googolplex? Then things get serious.

Who hasn't feared the math Minotaur in its labyrinth of abstractions? Now, in Out of the Labyrinth, Robert and Ellen Kaplan - the founders of The Math Circle, the popular learning program begun at Harvard in 1994 - reveal the secrets behind their highly successful approach, leading listeners out of the labyrinth and into the joyous embrace of mathematics.