Engineering Mathematics

Statistics is used in almost every field and industry imaginable. From healthcare to finance to marketing, statistics are used to make important decisions, identify patterns and trends, and predict future outcomes. Without a basic understanding of statistics, it's easy to be left behind and taken advantage of.

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.

In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.

We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty - indeed, scientific advances indicate that the universe might be fundamentally inexact - and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong.

From Aristotle to Ada Lovelace: a brief history of the mathematical ideas that have forever changed the world and the everyday people and pioneers behind them. The story of our best invention yet. From our ability to calculate the passing of time to the algorithms that control computers and much else in our lives, numbers are everywhere. They are so indispensable that we forget how fundamental they are to our way of life.

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our greatest minds. And they are all the same question: What is infinity? In Beyond Infinity, Eugenia Cheng takes us on a staggering journey from elemental math to its loftiest abstractions. Along the way, she considers how to use a chessboard to plan a worldwide dinner party, how to make a chicken-sandwich sandwich, and how to create infinite cookies from a finite ball of dough.

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.

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".

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.

Este libro es mucho más que una simple colección de datos; es una puerta a las maravillas ocultas del conocimiento. A través de sus páginas, descubrirás hechos tan asombrosos como inesperados, que te harán repensar lo que crees saber sobre el mundo. Cada curiosidad está diseñada para despertar tu imaginación y ofrecerte una nueva perspectiva sobre el mundo que nos rodea. Si alguna vez te has preguntado por qué ciertos patrones se repiten en la naturaleza o cómo ciertos eventos históricos cambiaron el curso de la humanidad, aquí encontrarás respuestas que te sorprenderán.