Glimpses of Algebra and Geometry

Filling a gap between undergraduate and graduate mathematics studies, this is one of the few texts to explore the subtle and sometimes puzzling connections between number theory, classical geometry and modern algebra in a clear and easily understandable style. The text is divided into subtexts of four levels according to the readers aptitude and will appeal to students who wish to learn modern mathematics, but have few prerequisite courses, and to high-school teachers who always had a keen interest in mathematics, but seldom the time to pursue background technicalities. Even postgraduate mathematicians will enjoy being able to browse through a number of mathematical disciplines in one sitting. Over 160 computer-generated images, accessible via the Web, facilitate an understanding of mathematical concepts and proofs even further. Thus, material from this volume can be taught the traditional way using slides, or interactively in a computer lab or using a PC connected to an LCD-panel.