Invitation to Mathematics by Konrad Jacobs

Invitation to Mathematics by Konrad Jacobs

Based on a well-received course designed for philosophy students, this book is an informal introduction to mathematical thinking. The work will be rewarding not only for philosophers concerned with mathematical questions but also for serious amateur mathematicians with an interest in the "frontiers" as well as the foundations of mathematics. In what might be termed a sampler of the discipline, Konrad Jacobs discusses an unusually wide range of topics, including such items of contemporary interest as knot theory, optimization theory, and dynamical systems. Using Euclidean geometry and algebra to introduce the mathematical mode of thought, the author then turns to recent developments. In the process he offers what he calls a "Smithsonian of mathematical showpieces": the five Platonic Solids, the Mbius Strip, the Cantor Discontinuum, the Peano Curve, Reidemeister's Knot Table, the plane ornaments, Alexander's Horned Sphere, and Antoine's Necklace. The treatments of geometry and algebra are followed by a chapter on induction and one on optimization, game theory, and mathematical economics. The chapter on topology includes a discussion of topological spaces and continuous mappings, curves and knots, Euler's polyhedral formula for surfaces, and the fundamental group. The last chapter deals with dynamics and contains material on the Game of Life, circle rotation, Smale's "horseshoe," and stability and instability, among other topics.

"This is a wonderful book.. [which] provides an informal introduction to mathematical thinking... This book is the latest in the succession of books designed to introduce mathematical ideas to the general public."--The Times Higher Education Supplement "Should be read by all teachers of mathematics and mathematics educators."--The Mathematics Teacher

Katrien Jacobs is Associate Professor of Cultural and Religious Studies at Chinese University of Hong Kong.

SKU	Non disponible
ISBN 13	9780691025285
ISBN 10	0691025282
Titre	Invitation to Mathematics
Auteur	Konrad Jacobs
État	Non disponible
Type de reliure	Paperback
Éditeur	Princeton University Press
Année de publication	1992-08-02
Nombre de pages	264
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible