Curious Curves
  1. 232 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

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.

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Yes, you can access Curious Curves by Richard B Darst, Judith A Palagallo;Thomas E Price;; in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
WSPC
Year
2009
eBook ISBN
9789813107717

Table of contents

  1. Contents
  2. Preface
  3. Acknowledgments
  4. List of Figures
  5. List of Tables
  6. 1. Examples of curious curves
  7. 2. The Koch curve and tangent lines
  8. 3. Curves and Cantor sets
  9. 4. Generalizations of the Koch curve
  10. 5. Metric spaces and the Hausdorff metric
  11. 6. Contraction maps and iterated function systems
  12. 7. Dimension, curves and Cantor sets
  13. 8. Julia sets and the Mandelbrot set
  14. Appendix A Points on a line
  15. Appendix B Length and area
  16. Appendix C Maps and sets in the plane
  17. Appendix D Infinite sets
  18. Bibliography
  19. Solutions to selected problems
  20. Index