Kategoria BISAC: Mathematics >> Geometry - General

Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology.

While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting...

Metamorphs are curious and interesting paper models which will transform step by step through a sequence of different shapes before finally returning to their original starting positions. There are ten colourful two and three-dimensional models to cut out and make and also an informative text which discusses and explains the principles by which they have been designed.

This beautiful model to cut out and glue together has twelve sharp spikes emerging from pentagonal cups and forming ten pairs of parallel planes, each in a different colour
None of these ten colours occurs more than once on any spike or cup. When completed, the polyhedron rests on a horizontal surface on just three spikes.

This beautiful model to cut out and glue together is the result of arranging five interpenetrating cubes in a highly symmetrical way
Each cube is printed in its own colour and so it is easy to see that exactly two cubes meet at every vertex and that there are twelve surfaces defining each face of each cube. There is a strong internal frame and multiple divisions in the golden ratio to discover.

Can geometry be exciting?

It can for those who can appreciate the beauty of numbers and their relationships.

This book contains a meticulous geometric investigation of the 5 Platonic Solids and 5 other important polyhedra, as well as reference charts for each solid.

Poly (many) hedron (face) means "many faces." Polyhedra are 3 dimensional figures with 4 or more faces, or sides. These polyhedra are reflections of Nature herself, and...

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev Birbrair,...