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Presents practical strategies for developing appropriate curriculum for accelerated gifted children, explaining how acceleration can be employed in all classroom levels and subject areas.
"Fast access to 2,000 authoritative Internet information sites--each fully described. 5 easy-to-use indexes--master index to more than 8,000 individual Internet files. Includes a list of specialized home pages, Internet glossary, and bibliography"--Cover.
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.