Mathematics often gets a bad press. Describing someone as 'calculating' or 'rational' is hardly as flattering as being labelled 'artistic' or 'creative' and mathematicians in movies or novels are often portrayed as social misfits who rarely get the guy or girl. No wonder some folks say 'oh I don't care for mathematics, I was never any good at it' with a wistful sense of pride. Yet professional mathematicians talk of the subject differently. They look for elegant solutions to problems, revel in playing around with mathematical ideas and talk of the creative nature of mathematics. As the Russian mathematician Sophia Kovalevskaya said "It is impossible to be a mathematician without being a poet in soul." So why is there such a gap between the views of everyday folks and professional mathematicians? Part of the problem lies in how most of us were taught mathematics in school. The mathematics served up there is presented as a series of de-contextualised, abstract ideas, wrested from the human struggles and interactions that gave birth to the ideas. Through looking at some of the history of mathematics, psychological studies into how we come to know mathematics and key ideas in mathematics itself, the intent of this book is, if not to make the reader fall in love with mathematics, then at least to come to understand its nature a little better, and perhaps care a little more for it. In short, this book explores the human side of maths.
This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
John Wallis, born in 1616 in southeastern England, introduced the symbol we use for infinity, ∞, and the notation for exponents, and understood how to use fractional exponents. He was known for his ability to perform lengthy ...
A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.
This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition.
This book presents the relevance of the mathematical concepts, which are also demonstrated in numerous exercises. Organized into 10 chapters, this book begins with an overview of the study of logic to understand the nature of mathematics.
There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice.
So it is not so surprising that Langlands would have chosen for his epigraph the expression Ya tutarsa, associated with one of the stories about the Turkish folk hero Nasreddin Hoca (pronounced “hodja”). Nasreddin is staring at a lake.
Improving Indicators of the Quality of Science and Mathematics Education in Grades K-12 . Committee on Indicators of Precollege Science and Mathematics Education, Commission on Behavioral and Social Sciences and Education, ...
Prove that you cannot cover all of 3-space with a set of slabs the sum of whose thicknesses is finite. ... perpendicular to the plane of the bugs, and let gi be the bug in graph (this time, in the sense of graphing 227 Journey into Space.