Bøger udgivet af Mathematical Association of America

Volume 3 of 3. Collection of stories and anecdotes about mathematics and mathematicians.

Volume 2 of 3 collection of mathematical stories and anecdotes about mathematics and mathematicians.

An exploration of the mathematics of twenty geometric diagrams that play a crucial role in visualizing mathematical proofs.

An accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry.

A collection of articles presenting the results of recent studies on the use of history in the teaching of mathematics.

A historical introduction to non-Euclidean geometry that guides readers step-by-step through a new translation of Lobachevski's groundbreaking book, The Theory of Parallels. It can be used as a primary text, or as supplementary reading, for courses in geometry or in the history of mathematics.

Forty-eight challenging problems from the oldest high school mathematics competition in the world.

Offers modules for those wishing to incorporate the history of mathematics into courses on other mathematical topics.

A collection of remarkable proofs that are exceptionally elegant, and thus invite the reader to enjoy the beauty of mathematics.

A variety of mathematical activities from a teacher who believes that intellectual play is key to mathematics education.

Book and CD explaining how to apply group theory to solve a range of popular puzzles.

A concise introduction to topology to ground students in the basic ideas and techniques of the subject.

Mistakes in mathematical reasoning, ranging from outlandish blunders to subtle oversights, serve both to entertain, and to emphasise the need for rigour. This entertaining book collects and analyses mathematical errors taken from a variety of sources. It is an ideal resource for students and teachers of mathematics from school to university level.

An interdisciplinary investigation of how and why things collapse, ranging from governments to species, markets and structures. The author explores the mathematics behind six fundamental processes that lead to such collapses. The exposition assumes minimal mathematical background and should appeal to readers from a wide range of fields.

A concise but accessible guide to functional analysis that begins with the basics before moving on to more advanced topics.

In this collection of her work, addressed to mathematicians, Judith Grabiner explores the development of mathematics and the relationship between mathematics and culture. This book is an inspiring resource for those teaching history of mathematics courses.

An accessible introduction to real analysis for undergraduates, focussing on applications of analysis to abstract dynamical systems.

The essential tools for studying ordinary differential equations are given a modern treatment in this book, beginning with analytical methods, before progressing to graphical and numerical methods, bifurcation theory, higher-dimensional theory, and dynamical systems. Ideal for undergraduates in engineering and the applied sciences, particularly biology.

Martin Gardner was an extraordinarily prolific writer whose work had a profound influence on the field of recreational mathematics. This book is a collection of articles, some by Gardner, others inspired by his work, that appeared in various MAA publications from 1999 to 2012. Essential reading for all recreational mathematicians.

A collection of examples, some counterintuitive but true, others employing crafty sophistry, to enhance students' understanding of important calculus concepts.

A resource for introductory calculus courses. It provides incorrect mathematical statements which require students to create counterexamples to disprove them.

An introduction to complex analysis, covering the standard course material and additional topics. This is an ideal book for a first course in complex analysis: for advanced undergraduates or graduate students. It includes both exercises with detailed solutions to aid understanding, and those without solutions as an additional teaching tool.

Combinatorics is the mathematics of counting. This text presents the topics covered in undergraduate courses in combinatorics and advanced discrete mathematics, as well as in some introductory graduate courses. Uniquely, it features over 350 reading questions that provide checkpoints for learning and prepare the reader for the end-of-section exercises.

A collection of articles introducing the core ideas of calculus. A resource for teachers of secondary school and undergraduate students.

A thorough guide to Euclidean geometry with a unique emphasis and methodology, for use as an undergraduate textbook.

An introductory guide to elementary number theory for advanced undergraduates and graduates.

An exploration of Voltaire's Micromegas which presents the mathematics behind the polar expedition and suggests some answers to Voltaire's riddle.

An introduction to the basic mathematical techniques involved in cryptanalysis.

This book is arranged to show the development of the different branches of mathematics over time and contains many illustrations to support the text. In all, a short, innovative and easy-to-read history of mathematics.

What would Newton see if he looked out his bedroom window? This book describes the world around the important mathematicians of the past, and explores the complex interaction between mathematics, mathematicians, and society.