Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    He proposes his solution.

    79 pages of chapter summaries, quotes, character analysis, themes, and more – everything you need to sharpen your knowledge of Term Limits. This detailed literature summary also contains Topics for Discussion and a Free Quiz on Term Limits by Vince Flynn.

    Fifteen months later, his mother, her boyfriend and the boyfriend's brother were sent to prison. But media attention turned on those who worked to protect children, especially the social workers and their managers, who became the focus of the reporting and of the blame. Five years later they are still harassed by press reporters. This book tells what happened to 'Baby P', how the story was told and became focused on the social workers, its threatening consequences for those who work to protect children, and its considerable impact on the child protection system in England. This is the first book to draw together all evidence available on this high profile case and will make a unique and crucial contribution to the topic. It will make essential reading for everyone who is concerned about child protection and the care of children and about the media's impact.

    

    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.

    

    Topics covered in the book include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics, counting and probability, and more! The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems. The solutions manual (sold separately) contains full solutions to all of the problems, not just answers. This book can serve as a complete Prealgebra course. This text is supplemented by free videos and a free learning system at the publisher's website.

    Worldreader addresses that problem using e-reader technology. Worldreader works with textbook publishers across the developing world to offer a range of digital textbooks to schools as part of their wider goal to promote literacy by bringing books to all.

    It now has 600,000 to a million page hits daily. Every now and then, Munroe would get emails asking him to arbitrate a science debate. 'My friend and I were arguing about what would happen if a bullet got struck by lightning, and we agreed that you should resolve it . . . ' He liked these questions so much that he started up What If. If your cells suddenly lost the power to divide, how long would you survive? How dangerous is it, really, to be in a swimming pool in a thunderstorm? If we hooked turbines to people exercising in gyms, how much power could we produce? What if everyone only had one soulmate?When (if ever) did the sun go down on the British empire? How fast can you hit a speed bump while driving and live?What would happen if the moon went away?In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos, solves differential equations, and consults with nuclear reactor operators. His responses are masterpieces of clarity and hilarity, studded with memorable cartoons and infographics. They often predict the complete annihilation of humankind, or at least a really big explosion. Far more than a book for geeks, WHAT IF: Serious Scientific Answers to Absurd Hypothetical Questions explains the laws of science in operation in a way that every intelligent reader will enjoy and feel much the smarter for having read.

    Finally, all the years of law school and countless hours dedicated to studying are over and she’s working the case she hoped she’d get. This could make or break her career. She’s ready for it. What she doesn’t expect is the ominous threats and the very real possibility she could lose her life because of it.Cairo sacrificed everything for his career. Now it’s time to say goodbye and walk away with his head held high. That is, it will be after one final case, but this is no ordinary case and the attorney is no ordinary woman. She’s smart, sexy, and naïve about the danger she’s in.Notorious mob kingpin Moses Giovanni never loses. People are expendable to him. And the hot young attorney with a chip on her shoulder is next on his list of people who need to be erased.Find out how one case brings Bria, Cairo, and Moses face-to-face. The fight is on. Will Cairo’s last case end in disaster? Can he keep Bria safe from harm or is he in over his head?

     From the author of the bestselling WHEN GOD WAS A RABBIT comes this spellbinding new novel. Marvellous Ways is eighty-nine years old and has lived alone in a remote Cornish creek for nearly all her life. Lately she's taken to spending her days sitting by the river with a telescope. She's waiting for something - she's not sure what, but she'll know it when she sees it. Drake is a young soldier left reeling by the Second World War. When his promise to fulfil a dying man's last wish sees him wash up in Marvellous' creek, broken in body and spirit, the old woman comes to his aid. A Year of Marvellous Ways is a glorious, life-affirming story about the magic in everyday life and the pull of the sea, the healing powers of storytelling and sloe gin, love and death and how we carry on when grief comes snapping at our heels.

    Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.