In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Crease tells the stories behind ten of the greatest equations in human history. Was Nobel laureate Richard Feynman really joking when he called Maxwell's electromagnetic equations the most significant event of the nineteenth century? How did Newton's law of gravitation influence young revolutionaries? Why has Euler's formula been called "God's equation," and why did a mysterious ecoterrorist make it his calling card? What role do betrayal, insanity, and suicide play in the second law of thermodynamics?The Great Equations tells the stories of how these equations were discovered, revealing the personal struggles of their ingenious originators. From "1 + 1 = 2" to Heisenberg's uncertainty principle, Crease locates these equations in the panoramic sweep of Western history, showing how they are as integral to their time and place of creation as are great works of art.

    But all too often, even the most respected publications present numbers that are miscalculated, misinterpreted, hyped, or simply misleading. Following on the heels of his highly acclaimed Damned Lies and Statistics and More Damned Lies and Statistics, Joel Best now offers this practical field guide to help everyone identify questionable statistics. Entertaining, informative, and concise, Stat-Spotting is essential reading for people who want to be more savvy and critical consumers of news and information.Stat-Spotting features:* Pertinent examples from today's news, including the number of deaths reported in Iraq, the threat of secondhand smoke, the increase in the number of overweight Americans, and many more* A commonsense approach that doesn't require advanced math or statistics

    As Entitled

        Everything You Need to Ace Math . . . covers everything to get a student over any math hump: fractions, decimals, and how to multiply and divide them; ratios, proportions, and percentages; geometry; statistics and probability; expressions and equations; and the coordinate plane and functions. The BIG FAT NOTEBOOK™ series is built on a simple and irresistible conceit—borrowing the notes from the smartest kid in class. There are five books in all, and each is the only book you need for each main subject taught in middle school: Math, Science, American History, English Language Arts, and World History. Inside the reader will find every subject’s key concepts, easily digested and summarized: Critical ideas highlighted in neon colors. Definitions explained. Doodles that illuminate tricky concepts in marker. Mnemonics for memorable shortcuts. And quizzes to recap it all. The BIG FAT NOTEBOOKS meet Common Core State Standards, Next Generation Science Standards, and state history standards, and are vetted by National and State Teacher of the Year Award–winning teachers. They make learning fun and are the perfect next step for every kid who grew up on Brain Quest.

    This edition, which was prepared by Kip S. Thorne (Feynman Professor of Theoretical Physics at California Institute of Technology), fully incorporates all the errata and corrections gathered (but never used in a published edition) by Feynman.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee

    The grammar book for the 21st century has arrived, from the language experts at Farlex International and TheFreeDictionary.com, the trusted reference destination with 1 billion+ annual visits. Farlex brings you the most comprehensive grammar guide yet: all the rules of English grammar, explained in simple, easy-to-understand terms. Over 500 pages of proper grammar instruction—2X more than the leading grammar book! Whether you're an expert or a beginner, there's always something new to learn when it comes to the always-evolving English language. Don't rely on multiple incomplete textbooks that contradict each other—fill in all the gaps in your grammar knowledge with one go-to guide. Only Complete English Grammar Rules gives you key exceptions, common grammar mistakes, thousands of real-world examples, and hundreds of grammar quizzes designed to help you retain what you've learned. With Complete English Grammar Rules, you'll be able to: • Quickly master basic English grammar and tackle more advanced topics. • Properly use every type of noun, verb, and even the most obscure grammar elements. • Master verb tenses, including irregular verbs and exceptions. • Avoid embarrassing grammar errors. • Immediately put your skills into action! Become a more effective writer and communicator in school, at work, and in everyday conversation.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    The information presented in this guide was taken from the book Real Havana: Explore Cuba Like A Local And Save Money. This book is available at most online book retailers. It offers a complete description of all the information presented below.In this mini-guide you will learn about:● Dozens of facts and tips on Cuban Culture and daily life.● Money saving tips on Cuban cuisine and dining.● Common restaurant scams in Havana.● Facts about buying alcohol, cigars and shopping in general.● Important tips on using taxis, public transportation and rental cars.● Info on biking in Havana● Booking a cheap apartment in Havana (casa particular)Plus, this updated 2016 edition includes a special Trinidad City Guide. Trinidad is one of the most beautiful towns in Cuba and one of the most popular excursion destinations for travelers. Learn how to explore this wonderful UNESCO World Heritage site for yourself, on your next trip to Cuba.BONUS: As a bonus, this mini-guide also includes the Top Ten Cuba Tip List! It’s packed with the most important information that any traveler must know about Cuba and Havana, in order to maximize their fun, save money and avoid any hassles.The Real Havana guide has all that information and much more. It has been described by industry professionals as being the #1 travel guide for information about Cuban culture. That’s why it is a bestseller and has been a trusted resource to over 200 000 travelers since 2010.About Full Compass GuidesFull Compass Guides are aimed at travelers who want to understand local customs and culture so that they can experience destinations like a local. Unlike regular tourist guides, Full Compass guides are not a list of attractions popular with tourists, and boring restaurant and hotel reviews that are obsolete the moment they are published. With our guides, you get succinct, useful information about the culture, people and geography of your destination so you have the tools and the confidence to explore on your own, experience everything that your destination has to offer, and save money.Our guides are written by experienced travelers who have intimate knowledge of both the location and the culture of the destination. They give you the exact information you need in order to make the most of your travel time. With a Full Compass guide, you will be a knowledgeable explorer, rather than just another flash-happy tourist.

    He was especially careful to present new and unfamiliar puzzles that had not been included in such classic collections as those by Sam Loyd and Henry Dudeney. Later, these puzzles were published in book collections, incorporating reader feedback on alternate solutions or interesting generalizations.The present volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mind-benders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.

    Author Pat Blaskower is your personal coach, guiding and encouraging you and your partner to play winning tennis by showing you how to:- choose a compatible partner - determine your jobs on the court - learn poaching skills - communicate with each other and opposing teams - maintain mental toughness - use various formations and strategies - pick your shots intelligently - decide where to play: tournaments or leagues - and much, much more!The book also includes detailed court diagrams that show you how to execute offense, defense, and tactical plays; checklists that summarize the most important points of each chapter; and on-court drills to help you improve and refine your skills. The Art of Doubles is loaded with practical, proven tennis strategies that you can put to work immediately to see improvements in your own doubles game!

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.