Apress

Computer Graphics and Geometric Modelling

Mathematics

By Max K. Agoston

Computer Graphics and Geometric Modelling Cover Image

  • ISBN13: 978-1-8523-3817-6
  • 976 Pages
  • User Level: Students
  • Publication Date: December 6, 2005
  • Available eBook Formats: PDF
  • eBook Price: $99.00
Buy eBook Buy Print Book Add to Wishlist
Full Description
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Mathematics, contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume. This volume begins with material from linear algebra and a discussion of the transformations in affine & projective geometry, followed by topics from advanced calculus & chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and finally algebraic geometry. Two important goals throughout were to explain the material thoroughly, and to make it self-contained. This volume by itself would make a good mathematics reference book, in particular for practitioners in the field of geometric modelling. Due to its broad coverage and emphasis on explanation it could be used as a text for introductory mathematics courses on some of the covered topics, such as topology (general, combinatorial, algebraic, and differential) and geometry (differential & algebraic).
Table of Contents

Table of Contents

  1. From the contents: Linear Algebra Topics.
  2. Affine Geometry.
  3. Projective Geometry.
  4. Advanced Calculus Topics.
  5. Point Set Topology.
  6. Combinatorial Topology.
  7. Algebraic Topology.
  8. Differential Topology.
  9. Differential Geometry.
  10. Algebraic Geometry.
  11. Appendices.
  12. Basic Algebra.
  13. Basic Linear Algebra.
  14. Basic Calculus & Analysis.
  15. Basic Complex Analysis.
  16. A Bit of Numerical Analysis.
Errata

If you think that you've found an error in this book, please let us know about it. You will find any confirmed erratum below, so you can check if your concern has already been addressed.

* Required Fields

No errata are currently published