Arthur Cayley (18211895) was one of the most prolific and important mathematicians of the Victorian era. His influence still pervades modern mathematics, in group theory (Cayley's theorem), matrix algebra (the Cayley-Hamilton theorem), and invariant theory, where he made his most significant contributions. Yet Cayley's life has been overlooked by ......
This monograph provides students with an int roduction to many of the mathematical concepts and technique s that underlie quantitive analysis in the social sciences. '
Used today in spheres of life as diverse as business strategy, creative writing, medicine, computer science, and theoretical physics, Venn diagrams possess fascinating properties. The basic Venn diagram is both elegantly simplethree overlapping circles that intersect to create eight distinct areasand conceptually innovative. Devised by English ......
`This book is to be commended, particularly, for putting the tool of statistics into the familiar context of a research study. In so doing it emphasizes the neglected pre-analysis stages of a research study. Indeed the performing of a data analysis, this book reminds us, should be the mere icing on an already well cooked cake' - Psychology Learning & Teaching Doing Statistics With SPSS is derived from the authors' many years of experience teaching undergraduates data handling using SPSS. It assumes no prior understanding beyond that of basic mathematical operations and is therefore suitable for anyone undertaking an introductory statistics course as part of a science based undergraduate programme. The text will: enable the reader to make informed choices about what statistical tests to employ; what assumptions are made in using a particular test; demonstrate how to execute the analysis using SPSS; and guide the reader in his/her interpretation of its output. Each chapter ends with an exercise and provides detailed instructions on how to run the analysis using SPSS release 10. Learning is further guided by pointing the reader to particular aspects of the SPSS output and by having the reader engage with specified items of information from the SPSS results. This text is more complete than the alternatives that usually fall into one of two camps. They either provide an explanation of the concepts but no instructions on how to execute the analysis with SPSS, or they are a manual which instructs the reader on how to drive the software but with minimal explanation of what it all means. This book offers the best elements of both in a style that is economical and accessible. Doing Statistics with SPSS will be essential reading for undergraduates in psychology and health-related disciplines, and likely to be of invaluable use to many other students in the social sciences taking a course in statistics.
`This is a super, practical book on a neglected area of concern' - Times Education Supplement This book for student-teachers and teachers is concerned with the problems of teaching primary and middle school children whose attainment in mathematics compares unfavourably with that of their contemporaries. Drawing on his classroom-based research with low-attaining children in the age range of eight to 12 years years, the author discusses the factors associated with their low attainment and proposes a strategy for teaching them.
Gives readers a working knowledge of math's most important concepts, an appreciation of its elegant logical structure, and an understanding of its historical significance in creating our contemporary world.
Formerly a SkyLight publication. Taking students beyond simple computation to think critically in math is necessary for students to meet today's math standards. Excerpted from Brain-Compatible Mathematics, this booklet includes author Diane Ronis' wheel of problem-solving strategies, plus a seven-step process for approaching and solving complicated problems-giving students a variety of ways to approach, analyze, and think critically about mathematics problems.
We should all be having fun with math and helping our kids to do better in life by encouraging them to appreciate not only its usefulness but especially its charm. This book is intended for adults looking for a way to turn their kids on to an important subject or discover for themselves what they might have missed in their own math education.
Voodoo Deaths, Office Gossip, and Other Adventures in Probability
Our lives are governed by chance. But what, exactly, is chance? In this book, accomplished statistician and storyteller Bart K. Holland takes us on a tour of the world of probability. Weaving together tales from real lifefrom the spread of the bubonic plague in medieval Europe or the number of Prussian cavalrymen kicked to death by their horses, ......