This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications.

Textbook and self-study guide for students beginning to study mathematics requiring proof.

A collection of materials gathered by the author while teaching real analysis over a period of years.

Professor H. S. Wall (1902 1971) developed Creative Mathematics over a period of many years of working with students at the University of Texas, Austin. His aim was to lead students to develop their mathematical abilities, to help them learn the art of mathematics, and to teach them to create mathematical ideas. This book, according to Wall, 'is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical discovery.' In less than two hundred pages, he takes the...

This book draws on geometric ideas from cultural activities from Subsaharan Africa, and demonstrates how they may be explored to develop mathematical reasoning from school level through to university standard. Paulus Gerdes provides a thoroughly illustrated and researched exploration of mathematical ideas, motifs and patterns. Many important mathematical points are brought to the fore, not via the formal 'theorem-proof' method, but in a more schematic and diagrammatic manner. African artifacts, oral traditions, sand drawing and other forms of artwork with a geometric basis, all provide...

This third edition of the immensely popular 101 Careers in Mathematics contains updates on the career paths of individuals profiled in the first and second editions, along with many new profiles. The authors of the essays in this volume describe a wide variety of careers for which a background in the mathematical sciences is useful. Each of the jobs presented shows real people in real jobs.

Designed to aid teachers and students, Nelsen guides his readers through fifty short visual enhancements to the first-year calculus course.

By using everyday language and popular characters, this unorthodox textbook explains arithmetic in an accessible way to benefit budding teachers.