The English edition has been thoroughly revised in line with comments and suggestions made by our readers, and the mistakes and misprints that were detected have been corrected. This is essentially a textbook for a modern course on differential geometry and topology, which is much wider than the traditional courses on classical differential geometry, and it covers many branches of mathematics a knowledge of which has now become essential for a modern mathematical education. We hope that a reader who has mastered this material will be able to do independent research both in geometry and in other related fields. To gain a deeper understanding of the material of this book

Reference focusing on the interaction between algebra and algebraic geometry in ring theory, with research papers and surveys from international contributors from more than 15 countries. Describes abelian groups and lattices, cones and fans, and algebras and binomial ideals, among other topics. Softcover.

Math software designed to solve algebra, geometry, trigonometry, and calculus homework problems with step-by-step help.

Finally Geometry Wars heads to the PC! Now Windows gamers can download the official Retro Evolved game, and experience a pixel-perfect conversion of the Xbox 360 fan favourite. All of the original enemy and weapon types are present, complete with local leaderboards to track your high scores. With support for keyboard only, keyboard & mouse, and remappable joypad (dual or single stick), all gamers should be able to find a control method they are at home with. Likewise, you can run Geometry Wars in full screen mode, or in a resizable window, making it as versatile as you like. Geometry Wars: Retro Evolved for Windows Vista (and XP) was made entirely in-house by Bizarre Creations, with extensive input from the original Geometry Wars author Stephen Cakebread.

Geometry Expressions is a revolutionary modeling tool which generates mathematics directly from your drawing.