Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics)

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Seeking to fill a gap between undergraduate and graduate mathematics studies, this text explores the subtle and sometimes puzzling connections between number theory, classical geometry and modern algebra. The text is divided into subtexts of four levels according to the reader's aptitude and should 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. 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.