Mathematical Illustrations: A Manual of Geometry and PostScript by Bill Casselman
Mathematical Illustrations: Geometry & PostScript - Table of Contents
1. Getting Started
2. Elementary Coordinate Geometry
3. Variables and Procedures
4. Coordinates and Conditionals
5. Loops and Arrays
6. Curves
7. Procedures as Arguments
8. Non-linear Transformations in 2D
9. Recursion in PostScript
10. **Perspective** and Homogeneous Coordinates
11. Introduction to Drawing in 3D
12. Rigid Motion in 3D
13. PostScript in 3D
14. Drawing Surfaces in 3D
15. The Regular Polyhedra
What You Will Learn in Mathematical Illustrations: Geometry & PostScript
"Mathematical Illustrations: A Manual of Geometry and PostScript" by "Bill Casselman" is a practical guide for creating high-quality "geometric illustrations" using "PostScript", a programming language for graphics. The book demonstrates how to transform mathematical concepts into visual representations, blending "geometry", mathematical reasoning, and computational techniques. It is designed for mathematicians, educators, and students who want to communicate mathematical ideas clearly through precise illustrations.
The book covers a broad range of topics, including "coordinate geometry", curves, transformations, loops, recursion, and even 3D visualizations. Casselman provides step-by-step examples, exercises, and detailed explanations that help readers implement these concepts in PostScript. Each example emphasizes clarity, reproducibility, and the connection between the underlying mathematics and the resulting diagrams, allowing readers to explore both simple and complex geometric structures.
Beyond creating figures, the book encourages readers to develop "algorithmic thinking" in geometry, showing how mathematical structures can be expressed and manipulated programmatically. By combining theory, visualization, and coding, Casselman equips readers with the skills to produce professional, publication-ready illustrations. This makes it an invaluable reference for anyone interested in "mathematical illustrations", "computational geometry", or using PostScript to visualize complex mathematical ideas.
Book Details & Specifications
Title:
Mathematical Illustrations: A Manual of Geometry and PostScript by Bill Casselman
Publisher:
Cambridge University Press
Year:
2005
Pages:
340
Type:
PDF
Language:
English
ISBN-10 #:
0521839211
ISBN-13 #:
978-0521839211
License:
External Educational Resource
Amazon:
Amazon
About the Author: Bill Casselman
The author
Bill Casselman
is a renowned "mathematician" and educator, specializing in "geometry", "mathematical visualization", and "computational mathematics". He focuses on making abstract mathematical concepts clear and accessible through "illustrations" and visual representations. Casselman is an expert in "PostScript programming", which he uses to create precise geometric figures and diagrams. In *Mathematical Illustrations: A Manual of Geometry and PostScript*, he combines theory, coding, and visualization to help students, educators, and researchers explore and communicate mathematics effectively.
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