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A compilation of 350 problems and solutions for early high school students. A valuable resource for any mathematics teacher.
A quick and easy-to-use introduction to the key topics in complex variables, for mathematicians and non-mathematicians alike.
This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The 40 articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. It is ideal for those interested in the history of mathematics.
A guide to the hidden byways of algebra, calculus and geometry, for the seasoned mathematical traveller.
A set of seemingly difficult problems that have simple, elegant solutions, thereby revealing the beauty of mathematics.
A thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous experience of calculus techniques. This book can be used as a textbook for an undergraduate course on calculus or as a reference for self-study.
Introduces the richness and variety of inequalities in mathematics using illustration and visualisation.
This book studies the differential geometry of surfaces and aims to help students make the transition from the standard university curriculum to a type of mathematics that is a unified whole, by mixing geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences.
An anthology of articles ideal for use as a textbook supplement on a number theory course.
Describes techniques for solving problems in maxima and minima other than the methods of calculus.
A remarkable collection, which discusses not only Euler's well-known achievements in pure mathematics, but also his contributions in many other areas, from astronomy to music. Even readers already familiar with Euler and his work will find here much to enhance their appreciation of this extraordinary scientist and human being.
Uses the history of mathematics to facilitate active learning in the mathematics classroom.
As Owen O'Shea and the imaginary American Professor, Richard Stein, travel through Ireland, O'Shea notes the Professor's collection of amazing magic numbers in fascinating detail. The curiosities are wide ranging from coincidences about Apollo 11 and the first moon walk to proposition bets involving dice, darts, and playing cards.
Based on some of the most memorable contributions honouring Leonhard Euler in the years approaching his tercentenary, this book will appeal to anyone with an interest in the history of mathematics, and serves as a compelling introduction to one of the greatest mathematical minds of all time.
Techniques for solving problems from the American Mathematics Competitions, essential reading for anyone interested in logical problem solving.
The new edition of a favourite, featuring fresh material such as betting in sport and bluffing in poker.
The 99 points of intersection presented here were collected during a year-long search for surprising concurrence of lines. For each example we find compelling evidence for the sometimes startling fact that in a geometric figure three straight lines, or sometimes circles, pass through one and the same point.
This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book is designed to develop students' mathematical thinking skills, particularly theorem-proving skills, whilst helping them understand some of the wonderfully rich ideas in the mathematical study of numbers.
This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers.
A companion to Mathematical Apocrypha, this second volume of anecdotes, stories, quips, and ruminations about mathematics and mathematicians is sure to please. The purpose of this lively, engaging, and informative book is to explore and to celebrate the many facets of mathematical life, revealing mathematicians as intense, human, and sympathetic.
Classroom resource material allowing the integration of mathematics history into undergraduate mathematics teaching.
Collection of elementary mathematical problems with solutions. Ideal for students, teachers and general readers.
Advanced textbook on central topic of pure mathematics.
Supplementary exercises and projects for use in maths labs or classes.
This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, and to supplement, enhance, and embellish undergraduate courses on mathematical analysis. Exercises of varying levels of difficulty are scattered throughout the book to test understanding.
A collection of materials gathered by the author while teaching real analysis over a period of years.
The language of mathematics has proven over centuries of application to be an indispensable tool for the expression and analysis of real problems. Here Kalman explains for an audience of non-mathematicians the relevance of mathematical models to phenomena ranging from population growth and economics to medicine and the physical sciences.
The anthology is a collection of articles written by renowned mathematicians of the twentieth century. The articles span roughly a century in time and a wide range in subject. They are by mathematicians acknowledged by their peers as outstanding creators whose work has added richly to the discipline.
This is the story of American mathematics during the past century. It contains articles and excerpts from a century of the American Mathematical Monthly, giving the reader an opportunity to skim all one hundred volumes of this popular mathematics magazine without actually opening them.
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