After 30 years of research, the author of The History of Correlation organized his notes into a manuscript draft during the lockdown months of the COVID-19 pandemic. Getting it into shape for publication took another few years. It was a labor of love. Readers will enjoy learning in detail how correlation evolved from a completely non-mathematical concept to one today that is virtually always vi…
Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real? Brian Clegg explores the way that maths …
For thousands of years, mathematicians have used the timeless art of logic to see the world more clearly. In The Art of Logic, Royal Society Science Book Prize nominee Eugenia Cheng shows how anyone can think like a mathematician - and see, argue and think better. Learn how to simplify complex decisions without over-simplifying them. Discover the power of analogies and the dangers of false e…
"[Cheng] does a great service by showing us non-mathematician schlubs how real mathematical creativity works." -- Wall Street Journal 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 u…
One central aim of science is to provide explanations of natural phenomena. What role(s) does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? Rules to Infinity defends the thesis, common though perhaps inchoate among many members of the Vienna Circle, that mathematics contributes to the explanatory power of science by expressing conce…
Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the …
KEY BENEFIT: This book prepares readers to understand finite mathematics and calculus used in a wide range of disciplines. Covering relevant topics from finance, linear algebra, programming, and probability, the Seventh Edition places emphasis on computational skills, ideas, and problem solving. Other highlights include a rich variety of applications and integration of graphing calculators. …
Statistics is interesting and useful because it provides strategies and tools for using data to gain insight into real problems. As the continuing revolution in computing automates most of the tiresome details, an emphasis on statistical concepts and on insight from data becomes both more practical for students and teachers and more important for users who must supply what is not automated. No …
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 readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few …
he objective of this introductory chapter is to explain the common rationalebehind the papers of this volume. The structure is as follows.The first section shows that learning environments are a natural way to addressteachers in their main role, teaching, and that therefore this approach is promisingfor improving mathematics teaching in an effective way. The section ends with ateaching model ba…