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Type of bind: Paperback
Dewey Decimal Number: 516.352
EAN num: 9781584881667
ISBN number: 1584881666
Label: Chapman & Hall/CRC
Manufacturer: Chapman & Hall/CRC
Quantity: 1
Page Count: 384
Printing Date: February 23, 2000
Publishing house: Chapman & Hall/CRC
Sale Popularity Level: 1349935
Studio: Chapman & Hall/CRC
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Product Description:
Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians. However, many of the subject's more exciting aspects require a somewhat advanced mathematics background. For the 'fun stuff' to be accessible, we need to offer students an introduction with modest prerequisites, one that stimulates their interest and focuses on problem solving. Integrating parametric, algebraic, and projective curves into a single text, Geometry of Curves offers students a unique approach that provides a mathematical structure for solving problems, not just a catalog of theorems. The author begins with the basics, then takes students on a fascinating journey from conics, higher algebraic and transcendental curves, through the properties of parametric curves, the classification of limaçons, envelopes, and finally to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness. The uniqueness of this treatment lies in its integration of the different types of curves, its use of analytic methods, and its generous number of examples, exercises, and illustrations. The result is a practical text, almost entirely self-contained, that not only imparts a deeper understanding of the theory, but inspires a heightened appreciation of geometry and interest in more advanced studies.
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Rated by buyers
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John W. Rutter's book is an excellent introduction to the fascinating study of curves. Most introductory books on differential and algebraic geometry are somewhat incomprehensible. Rutter's book is at a U.S. college undergraduate level with many examples and explanations of notions passed over in other introductions. His book is a very good companion to the fine book "Curves and Singularities" by Bruce and Giblin. I highly recommend this book to anyone wanting to learn more about beautiful and interesting world of curves.
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