Item type | Current location | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | 516.352 RUT (Browse shelf) | Available | 032186 |
516.352 KEN Guide to plane algebraic curves | 516.352 LAU Curves and surfaces in geometric design | 516.352 LOZ Elliptic curves, modular forms and their L-functions | 516.352 RUT Geometry of curves | 516.352 SHE Modern cryptography and elliptic curves : a beginner's guide | 516.352 SIL Rational points on elliptic curves | 516.352 WAS Elliptic curves : number theory and cryptography |
Includes bibliographical references and index.
"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."--Provided by publisher.
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