Showing titles in Mathematics

Beginning with three introductory episodes, this specially curated collection explores 25 of the most important individuals, ideas and discoveries that have transformed our understanding of mathematics over the past 5,000 years. We learn how Indian mathematics provided the foundations for much of our modern thinking, discover why Euclid's Elements is the most influential textbook ever written and hear of the epic feud between Sir Isaac Newton and Gottfried Leibniz over who invented calculus.

Michael Schneider leads us on a spectacular journey along the numbers one through 10 to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs.

The complexity of mathematics - its abstract rules and obscure symbols - can seem very distant from the everyday. There are those things that are real and present, it is supposed, and then there are mathematical concepts: creations of our mind, mysterious tools for those unengaged with the world. Yet, from its most remote history and deepest purpose, mathematics has served not just as a way to understand and order, but also as a foundation for the reality it describes.

Our increasing reliance on technology and the Internet has opened a window for mathematicians and data researchers to gaze through into our lives. Using the data they are constantly collecting about where we travel, where we shop, what we buy, what interests us, they can begin to predict our daily habits, and increasingly we are relinquishing our decision making to algorithms - are we giving up this up too easily?

What has counting meant to different cultures and different individuals? In this book, historian and mathematician Benjamin Wardhaugh explores stories from all over the world and from every period of human history, from the African Stone Age to cyberspace; from Assyrian kings to Chinese peasants. Weaving these histories together, Wardhaugh shows the ways in which counting has been continually reinvented over time, through language, writing, counters and machines.

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 Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers; and transport us across the plane of geometry into the unlikely realm where parallel lines meet.

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.

Dark Data explores the many ways in which we can be blind to missing data and how that can lead us to conclusions and actions that are mistaken, dangerous, or even disastrous. Examining a wealth of real-life examples, from the Challenger shuttle explosion to complex financial frauds, Hand gives us a practical taxonomy of the types of dark data that exist and the situations in which they can arise, so that we can learn to recognize and control for them.

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism.

Our universe has multiple origin stories, from religious creation myths to the Big Bang of scientists. But if we leave those behind and start from nothing – no matter, no cosmos, not even empty space – could we create a universe using only maths? In this new mathematical origin story, mathematician and award-winning novelist Manil Suri creates a natural progression of ideas needed to design our world, starting with numbers and continuing through geometry, algebra, and beyond.

Raising students' math achievement doesn't mean ripping up your planning book and starting over. In Accessible Mathematics Steven Leinwand shows how small shifts in the good teaching you already do can make a big difference in student learning. Steve focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking.

Have you been learning to play chess and discovered that you need some guidance on getting off on the right foot? Always feel like you’re playing from behind, no matter how hard you try to start strong? If you’re in need of a simple guide to teach you the basics and variations of the most effective opening gambits, then Chess Openings for Beginners is the primer for you!

Mathematics shapes almost everything we do. From building rockets to the handheld technology that governs our day-to-day lives, we are all in debt to the mathematical geniuses of the past. But the history of mathematics is warped; it looks like a sixteenth-century map that enlarges Europe at the expense of Africa, Asia and the Americas. The Secret Lives of Numbers introduces listeners to a new group of mathematical boundary-smashers, those who have been erased by history because of their race, gender or nationality.

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.

Whether you are retail employee or a budding entrepreneur, or really just someone looking to contribute to your place of work, you will surely encounter problems that require planning and analysis to address them. What you may not know is that, most of the time statistics, specifically probability and its concepts, will often give you an edge in identifying solutions and strategies to help you move forward with a great plan.

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.

Causal Inference provides a brief and nontechnical introduction to randomized experiments, propensity scores, natural experiments, instrumental variables, sensitivity analysis, and quasi-experimental devices. Ideas are illustrated with examples from medicine, epidemiology, economics and business, the social sciences, and public policy.

Through entertaining stories, surprising real-world examples and a cast of unforgettable characters, Mapmatics helps us to appreciate the mathematical methods and ideas behind maps. And, by illuminating how our world works, leaves us better equipped to understand and look after it.

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.