Geometry of Curves (Hardcover)

J.W. Rutter

ISBN 10: 1138430374 / ISBN 13: 9781138430372

Published by Taylor & Francis Ltd, London, 2017

About this Item

Hardcover. 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 limacons, 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. Integrating parametric, algebraic, and projective curves, this title presents topics range from conics, higher algebraic and transcendental curves, to the properties of parametric curves, the classification of limacons, envelopes, and to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781138430372

Bibliographic Details

• Title: Geometry of Curves (Hardcover)
• Publisher: Taylor & Francis Ltd, London
• Publication Date: 2017
• Language: English
• ISBN 10: 1138430374
• ISBN 13: 9781138430372
• Binding: Hardcover
• Condition: new

About this title

Synopsis

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.

About the Author

Rutter, J.W.