Bøger udgivet af Mathematical Association of America

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.

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.

A concise guide to support an undergraduate real analysis course.

Mathematical Interest Theory gives an introduction to how investments vary over time, and this book provides a solid foundation for readers embarking on actuarial careers. It is among the recommended reading options for the Society of Actuaries/Casualty Actuarial Society FM/2 exam.

A collection of ingenious problems and their solutions from elementary mathematics.

Developed over a period of many years of working with students at the University of Texas, Austin, this book cultivates mathematical creativity and independence. The book is self contained, and assumes little formal mathematical background on the part of the reader.

This collection of sixteen original essays is the first to explore a range of new developments in the philosophy of mathematics, in a way mathematicians will understand. Coverage includes emerging questions in the field as well as recent thinking on classical ideas, all relevant to the teaching of mathematics.

A collection of over 250 multiple-choice problems to challenge and delight everyone from school students to professional mathematicians.

A collection of problems posed by Murray Klamkin over his career.

A compilation of 325 problems and solutions for high school students. A valuable resource for any mathematics teacher.