Mathematical Illustrations: A Manual of Geometry and PostScript by Bill Casselman

Book 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

About this book :-
"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 Detail :-
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 Author :-
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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