Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics)
by: Gabor Toth
* Publisher: Springer
* Number Of Pages: 308
* Publication Date: 1998-02
* Sales Rank: 2026738
* ISBN / ASIN: 0387982132
* EAN: 9780387982137
* Binding: Hardcover
* Manufacturer: Springer
* Studio: Springer
* Average Rating: 4
* Total Reviews: 1
Book Description:
The purpose of GLIMPSES OF ALGEBRA AND GEOMETRY is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between Number Theory, Classical Geometry and Modern Algebra in a clear and easily understandable style. Over 160 computer generated images accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further. GLIMPSES also sheds light on some of the links between the first recorded intellectual attempts to solve ancient problems of Number Theory and Geometry and twentieth century mathematics. The text is divided into subtexts of four levels (indicated by the card symbols in Bridge) according to the readers aptitude. GLIMPSES 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. Highlights of GLIMPSES include dicussions of: Rationality, Elliptic Curves and Fermat's Last Theorem, Fundamental Theorem of Algebra, Mbuis Geometry, Hyperbolic Geometry and Riemann Surfaces, Platonic Solids, Topology of Surfaces, The Four Color Theorem and The Fourth Dimension. Material from this volume can be taught the traditional way using slides, or interactively in a computer lab or teaching facility equipped with a PC or a workstation connected to an LCD-panel. Because there is a great deal of information, interactive graphics, and animations available over the Web, the author also includes recommended Web sites at the end of each section.
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