This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    They are the powerhouses of our cells, essential for the production and management of energy at cell level. Dr Sarah Myhill, together with Dr John McLaren Howard of Acumen Laboratories and Dr Norman Booth of Mansfield College Oxford, has spent many years studying the relationship between their malfunction and the commonest problem seen by GPs in the UK – fatigue. Their research findings have been published in three scientific papers in the International Journal of Clinical and Experimental Medicine, in 2009, 2012 and 2013. These studies showed that poor functioning of the mitochondria is the central problem in CFS. Patients with the worst mitochondrial function had the worst fatigue and vice versa. This is solid scientific evidence that CFS is a problem with mitochondria and has allowed the objective measurement of fatigue for the first time. With the publication of the third study, which showed that mitochondrial function tests and symptoms improved in patients who took measures to address their mitochondrial problems, Dr Myhill was ready to write this book. Here she explains the importance of healthy mitochondria, how we can measure their functioning and what we can do to keep them healthy, or restore them to health if problems arise. CFS is all in our cells, not in our minds!

    Many new exercises introduced in this edition help supplement and support explanations, aid in review, and make the book visually stimulating. This edition also includes a revised Logic tutorial on CD-Rom--further simplifying the study of logic. Includes many fascinating illustrations taken from the history of science as well as from contemporary research in the physical and biological sciences, plus introduces an abundance of new exercises throughout, complete with solutions for the first exercise in a set. Appropriate for those in business, education, political, or psychology careers.

     Douglas Montgomery arms readers with the most effective approach for learning how to design, conduct, and analyze experiments that optimize performance in products and processes. He shows how to use statistically designed experiments to obtain information for characterization and optimization of systems, improve manufacturing processes, and design and develop new processes and products. You will also learn how to evaluate material alternatives in product design, improve the field performance, reliability, and manufacturing aspects of products, and conduct experiments effectively and efficiently. Discover how to improve the quality and efficiency of working systems with this highly-acclaimed book. This 6th Edition: Places a strong focus on the use of the computer, providing output from two software products: Minitab and DesignExpert. Presents timely, new examples as well as expanded coverage on adding runs to a fractional factorial to de-alias effects. Includes detailed discussions on how computers are currently used in the analysis and design of experiments. Offers new material on a number of important topics, including follow-up experimentation and split-plot design. Focuses even more sharply on factorial and fractional factorial design.

    Written by highly experienced authors and Cambridge examiners, this book offers full support to students. Simple and clear language, colourful photos and international examples make this book accessible to students from around the world. Exam-style questions at the end of each chapter reinforce knowledge and skills and offer thorough exam practice. This book comes fully endorsed by Cambridge. The coursebook comes with a free CD-ROM which offers guidance on practicals, useful tips to help in revision and interactive material to engage students

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    This book has been praised for its unique components: discussion of "four stages" of reading texts and "three phases" of teaching texts. The authors' many years of experience teaching English are obvious throughout the material, but nowhere more so than in their straightforward presentation of organization and planning for instruction and their firm stand on teaching grammar. This book covers the challenging and the controversial in English instruction and explores censorship, national standards, high-stakes testing, multi-lingual students, and multicultural literature. For professionals in the field of teaching.

    The author defines all terms, points out potential pitfalls in algebraic calculation, and makes problem solving a fun activity. New in this edition are painless approaches to understanding and graphing linear equations, solving systems of linear inequalities, and graphing quadratic equations. Barron’s popular Painless Series of study guides for middle school and high school students offer a lighthearted, often humorous approach to their subjects, transforming details that might once have seemed boring or difficult into a series of interesting and mentally challenging ideas. Most titles in the series feature many fun-to-solve “Brain Tickler” problems with answers at the end of each chapter.

    The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    Children read more fluently, write with greater ease, and spell more accurately when they know these high-frequency words! These fun, ready-to-go practice pages let kids trace, copy, manipulate, cut and paste, and write each sight word on their own. Features words from the Dolch Word List, a commonly recognized core of sight words. Also includes games and extension activities. For use with Grades K-2.

    This approach will captivate students and encourage them to think critically about the nature of public administration today. Introducing Public Administration provides students with a solid, conceptual foundation in public administration, and contains the latest information on important trends in the discipline. To further engage students and deepen interest in its narrative, the text uses unique chapter-opening vignettes called Keynotes, chapter ending case studies, and a series of boxes throughout that offer real-life excerpts and alternative theories.