Triangulations: Structures for Algorithms and Applications
Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensive treatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems
The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science.
With a highly applied and computational focus, this book combines the important underlying theory with examples from electrical engineering, computer science, physics, biology and economics. An expanded list of computer codes in an appendix and more computer-solvable exercises in the text reflect Strang’s interest in computational linear algebra. Many exercises appear in the sections and in the chapter reviews. Exercises are simple but instructive.
Millions of people throughout the world are fascinated by puzzles, conundrums, and brain teasers. These amusing twisters from Barry Clarke are based on his extensive experience writing for the Daily Telegraph, Sunday Times and New Scientist. The author has gathered together a variety of posers including several examples of a brand new type of puzzle, The Word Bandit. Hints and full solutions are included for all puzzles. There is something for everyone here: puzzles for children, for the family, for members of Mensa, but above all puzzles for pleasure.
Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics.
