Mathematics Books

200% of Nothing: An Eye-Opening Tour Through the Twists and Turns of Math Abuse and Innumeracy, Dewdney, A. K. ISBN: 9780471145745

Acclaim for "In today's world, 'innumeracy' is an even greater danger than illiteracy, and is perhaps even more common. Advertisers and politicians exploit it; intellectuals (self-styled) even flaunt it. I hope that this wise and witty book will provide cures where they are possible, and warnings where they are necessary. "It's also a lot of fun. I can guarantee that 100%."--Arthur C. Clarke "Dewdney retells with charm and wit magnificent morsels of mathematical mayhem discovered by his army of volunteer 'abuse detectives.' From 'sample trashing' to 'numerical terrorism, ' from 'percentage pumping' to 'dimensional dementia, ' 200% of Nothing plumbs the depths of innumeracy in daily life and reveals what ordinary people can do about it. A rich, readable, instructive, and persuasive book."--Lynn Arthur Steen, Professor of Mathematics, St. Olaf College

Matrix Analysis, Horn, Roger A. ISBN: 9780521839402

Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. The authors have thoroughly revised, updated, and expanded on the first edition. The book opens with an extended summary of useful concepts and facts and includes numerous new topics and features, such as: - New sections on the singular value and CS decompositions - New applications of the Jordan canonical form - A new section on the Weyr canonical form - Expanded treatments of inverse problems and of block matrices - A central role for the Von Neumann trace theorem - A new appendix with a modern list of canonical forms for a pair of Hermitian matrices and for a symmetric-skew symmetric pair - Expanded index with more than 3,500 entries for easy reference - More than 1,100 problems and exercises, many with hints, to reinforce understanding and develop auxiliary themes such as finite-dimensional quantum systems, the compound and adjugate matrices, and the Loewner ellipsoid - A new appendix provides a collection of problem-solving hints.

Cool Flexagon Art: Creative Activities That Make Math & Science Fun for Kids!: Creative Activities That Make Math & Science Fun for Kids!, Hanson, Anders ISBN: 9781617838217

Cool Flexagon Art: Creative Activities That Make Math & Science Fun for Kids!: Creative Activities That Make Math & Science Fun for Kids!, Hanson, Anders ISBN: 9781617838217, by Author: Hanson, Anders

Rational Quadratic Forms, Cassels, J. W. S. ISBN: 9780486466705

This exploration of quadratic forms over rational numbers and rational integers offers an excellent elementary introduction to many aspects of a classical subject, including recent developments. The author, a Professor Emeritus at Trinity College, University of Cambridge, offers a largely self-contained treatment that develops most of the prerequisites.Topics include the theory of quadratic forms over local fields, forms with integral coefficients, genera and spinor genera, reduction theory for definite forms, and Gauss' composition theory. The final chapter explains how to formulate the proofs in earlier chapters independently of Dirichlet's theorems related to the existence of primes in arithmetic progressions. Specialists will particularly value the several helpful appendixes on class numbers, Siegel's formulas, Tamagawa numbers, and other topics. Each chapter concludes with many exercises and hints, plus notes that include historical remarks and references to the literature.