The User's Guide to Mathematics in Science and Engineering represents a comprehensive handbook on mathematics. It covers a broad spectrum of mathematics including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimization, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics.
Mathematics by Experiment: Plausible Reasoning in the 21st Century
This new approach to mathematics --- the utilization of advanced computing technology in mathematical research --- is often called experimental mathematics. The computer provides the mathematician with a "laboratory" in which she can perform experiments --- analyzing examples, testing out new ideas, or searching for patterns.
Research by cognitive psychologists and mathematics educators has often been compartmentalized by departmental boundaries. Word Problems integrates this research to show its relevance to the debate on the reform of mathematics education.
Journey through Genius: Great Theorems of Mathematics
Praise for William Dunhams Journey Through Genius The Great Theorems of Mathematics "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." —Ivars Peterson Author, The Mathematical Tourist Mathematics and Physics Editor, Science News
Luck, Logic, and White Lies: The Mathematics of Games
The mathematical underpinnings of games, whether they are strategic or games of chance, have been known for centuries, but are usually only understood by players and aficionados who have a background in mathematics. The author has succeeded in making that knowledge accessible, entertaining, and useful to everyone who likes to play and win.
