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Knots are familiar objects. We use them to moor our boats, to wrap our packages, to tie our shoes. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. "The Knot Book" is an introduction to this rich theory, starting with our familiar understanding of knots and a bit of college algebra and finishing with exciting topics of current research. "The Knot Book" is also about the excitement of doing mathematics. Colin Adams engages the reader with fascinating examples, superb figures, and thought-provoking ideas. He also presents the remarkable applications of knot theory to modern chemistry, biology, and physics. This is a compelling book that will comfortably escort you into the marvelous world of knot theory. Whether you are a mathematics student, someone working in a related field, or an amateur mathematician, you will find much of interest in "The Knot Book".Colin Adams received the Mathematical Association of America (MAA) Award for Distinguished Teaching and has been an MAA Polya Lecturer and a Sigma Xi Distinguished Lecturer. Other key books of interest available from the "AMS" are "Knots and Links" and "The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes".
Knots have been used for thousands of years in a nautical sense and even longer in textiles, toys and games, clothing/sewing, hair styling, jewelry, and weaponry. One of my favorites was playing cat’s cradle with my parents and my friends growing up, we had fun seeing what knots we could make. This book does a poor job of giving credit to where the mathematics is being pulled from. Though, the field is comparatively young in mathematics so maybe one day credit will be given where it is due. A good book for thinking of knots in abstraction and introducing how some use knots in mathematics. I appreciate that the author at least addressed that knots are not of mathematical origins, he is far ahead of many in the field who try to erase the cultural significance of knots or try to rewrite them in terms of their own mathematics.
