Description

Book Synopsis
Curious Curves is self-contained and unified in presentation. This book is suitable for a topics course, capstone course, or senior seminar; it is also intended for independent study by students and others interested in mathematics.Curves can often provide a better representation of natural phenomena than do the figures of classical geometry. Thus the content — presented with an emphasis on the geometric intuition characteristic of the study of curves — is highly relevant not only for people working in mathematics, but also those in other sciences. The explanations are detailed and illustrative to capture the interest of the reader, as well as complete to provide the necessary background information needed to go further into the subject.

Table of Contents
Examples of Curious Curves; Koch Curve and Generalizations of the Koch Curve; Curves and Cantor Sets; Contraction Maps and Iterated Function Systems; Dimension of Curves; Julia Sets and the Mandelbrot Set.

Curious Curves

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    A Hardback by Richard B Darst, Judith A Palagallo, Thomas E Price

    £60.80

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 12 October 2009
      ISBN-13 9789814291286
      978-9814291286
      ISBN-10 9814291285
      Also in:
      Calculus Geometry

      Description

      Book Synopsis
      Curious Curves is self-contained and unified in presentation. This book is suitable for a topics course, capstone course, or senior seminar; it is also intended for independent study by students and others interested in mathematics.Curves can often provide a better representation of natural phenomena than do the figures of classical geometry. Thus the content — presented with an emphasis on the geometric intuition characteristic of the study of curves — is highly relevant not only for people working in mathematics, but also those in other sciences. The explanations are detailed and illustrative to capture the interest of the reader, as well as complete to provide the necessary background information needed to go further into the subject.

      Table of Contents
      Examples of Curious Curves; Koch Curve and Generalizations of the Koch Curve; Curves and Cantor Sets; Contraction Maps and Iterated Function Systems; Dimension of Curves; Julia Sets and the Mandelbrot Set.

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