This book is a series of self-contained workshops in mathematics which aim to enthuse and inspire young people, their parents and teachers with the joy and excitement of modern mathematics.
Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005
Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing.
The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between number theory, classical geometry and modern algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further.
Shadows of the Truth: Metamathematics of Elementary Mathematics
Metamathematics of elementary mathematics. This book can be viewed as a sequel to Mathematics under the Microscope, but with focus shifted on mathematics as it was experienced by children (well, by children who became mathematicians).
Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics, 18)
Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics, 18) What is the "most uniform" way of distributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introduction to this area, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research. Including a wide variety of mathematical techniques (from harmonic analysis, combinatorics, algebra etc.)