Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it will explore these, and many other, tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.

    Here is a brief overview of each part: Part 1, Seeing the Big Picture Connections First, defines curriculum in terms of rigor, provides the background of this model, connects curriculum design to the big picture of standards, assessments, instruction, and data practices, previews the step-by-step design sequence, and introduces end-of-chapter reader assignments. Part 2, Building the Foundation for Designing Curricular Units, explains the five steps that must first be taken to lay the foundation upon which to build the curricular units of study, and provides explicit guidelines for applying each step. Part 3, Designing the Curricular Unit of Study From Start to Finish, gives the nuts and bolts directions for designing a rigorous curricular unit of study, from beginning to end, and concludes with an overview of how to implement the unit in the classroom or instructional program. Formatively assessing students along the way, educators analyze resulting student data to diagnose student learning needs and then adjust ongoing instruction accordingly. Part 4, Organizing, Monitoring, and Sustaining Implementation Efforts, addresses the role of administrators in beginning and continuing the work of implementation. These final three chapters provide first-person narra - tives and advice to administrators from administrators who have personally led the implementation and sustainability efforts of curriculum redesign and related practices within their own school systems. I have endeavored to pull together all of the elements necessary for designing a rigorous curriculum, to position these elements in a sequential order, and to provide a step-by-step approach for constructing each one. My hope is that this road map will not only show you the way to design your own curriculum, but also allow you the flexibility of customizing it to fit your own purpose and needs. As with the realization of any lofty vision, it will take a great deal of time, thought, energy, and collaboration to create and revise a single curriculum, let alone multiple curricula. The best advice I can offer is to regard whatever you produce as a continual work in progress, to be accomplished over one, two, or three years, or even longer. As my friend and colleague Robert Kuklis points out, curriculum designers shape and modify the process as they move through it. It is important that they know this is not a rigid, prescriptive procedure, but rather an opportunity for learning, adapting, and improving. This preserves fidelity to the process, encourages flexibility, and promotes local ownership. Whenever people s spirits need lifting because the work seems so demanding, remind everyone that it is a process, not a one-time event. You are creating something truly significant a comprehensive body of work that is going to serve your educators, students, and parents for years to come!"

    With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.

    John Branion was found guilty of murdering his wife in their posh Chicago home. After exhausting his appeals, he evaded authorities by fleeing to Africa. He was finally captured in 1983—but his case was far from over. It would take another seven years for Dr. Branion to finally win his freedom—and for those who prosecuted him to admit that he could not have committed the murder, and that they knew it all along.Acclaimed mystery writer Barbara D'Amato was drawn to this story two decades after the murder, as Dr. Branion languished in prison, ill and without hope. Her meticulous research repeatedly led her to one startling conclusion: that it was impossible for Donna Branion's murder to have unfolded the way the police alleged. In this award-winning account, D'Amato deftly explores the intriguing facts of this shocking case—from the tragic blunders made by authorities to Branion's arrest, conviction, and years practicing medicine in Africa as a fugitive from justice. The result is a damning indictment of our criminal system—and the vindication of an innocent man.The Doctor, The Murder, The Mystery by Barbara D'Amato won the Anthony and Agatha Awards for Best True Crime. She is also the author of the highly acclaimed Cat Marsala mysteries, including Hard Case and Hard Christmas. She lives in Chicago.The 1992 Anthony Award for Best True Crime and the 1993 Agatha Award for Nonfiction for The Doctor, the Murder, the Mystery

    This classic text, called the Tao Te Ching or the Great Way, offered advice and guidance that was balanced, moral, spiritual, and always concerned with working for the good.On this CD, for the very first time, Dr. Wayne W. Dyer takes you on a compelling journey through all 81 verses of the Tao, as he offers affirmations and a unique meditation technique that you can directly apply to your life. By actually repeating the word Tao as a mantra, you will subliminally attain a level of wisdom and peace that you may have never experienced before.      Do the Tao now . . . and usher in an entirely new way of thinking!

    This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    What will it take to turn this opportunity into reality in every classroom, school, and district? Continuing its tradition of mathematics education leadership, NCTM has defined and described the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students. Principles to Actions: Ensuring Mathematical Success for All offers guidance to teachers, specialists, coaches, administrators, policymakers, and parents: Builds on the Principles articulated in Principles and Standards for School Mathematics to present six updated Guiding Principles for School MathematicsSupports the first Guiding Principle, Teaching and Learning, with eight essential, research-based Mathematics Teaching PracticesDetails the five remaining Principles--the Essential Elements that support Teaching and Learning as embodied in the Mathematics Teaching PracticesIdentifies obstacles and unproductive and productive beliefs that all stakeholders must recognize, as well as the teacher and student actions that characterize effective teaching and learning aligned with the Mathematics Teaching PracticesWith Principles to Actions, NCTM takes the next step in shaping the development of high-quality standards throughout the United States, Canada, and worldwide.

    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

    Lafosse's complex and beautiful origami projects are well known around the world. Focusing on models from nature, Advanced Origami provides unparalleled instruction on how to create master-class level 3D origami paper folding projects. The origami designs are challenging—they require some folding experience—but the results are more origami art than craft. Paper folders will create projects that can be displayed or given as gifts.Sophisticated origami or paper crafts fans will appreciate the unique origami designs along with complete detailed instructions and easy-to-follow color photos and diagrams. Advanced Origami also features information on paper selection and preparation, advance techniques such as "wet folding," and making your own paper.This origami book contains:136 page, full-color book15 original and challenging projectsStep-by-step instructionsColorful diagrams and photographsAdvanced techniques and tipsIn recent years origami has evolved beyond simple folding and creasing into a true art form akin to sculpture. For those seeking to learn origami at such a level, Advanced Origami provides all the essential information and techniques. Soon you will be able to design and fold your own origami sculptures!Origami projects include:North American CardinalKoi FishOrigamido ButterflyPond FrogAnd many more…

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less