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.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    Through the worst years of the Great Depression as many as five thousand laborers toiled twenty-four hours a day, seven days a week, to erect the huge structure that would harness the Colorado River and transform the American West.Construction of the giant dam was a triumph of human ingenuity, yet the full story of this monumental endeavor has never been told. Now, in an engrossing, fast-paced narrative, Joseph E. Stevens recounts the gripping saga of Hoover Dam. Drawing on a wealth of material, including manuscript collections, government documents, contemporary newspaper and magazine accounts, and personal interviews and correspondence with men and women who were involved with the construction, he brings the Hoover Dam adventure to life.Described here in dramatic detail are the deadly hazards the work crews faced as they hacked and blasted the dam’s foundation out of solid rock; the bitter political battles and violent labor unrest that threatened to shut the job down; the deprivation and grinding hardship endured by the workers’ families; the dam builders’ gambling, drinking, and whoring sprees in nearby Las Vegas; and the stirring triumphs and searing moments of terror as the massive concrete wedge rose inexorably from the canyon floor.Here, too, is an unforgettable cast of characters: Henry Kaiser, Warren Bechtel, and Harry Morrison, the ambitious, headstrong construction executives who gambled fortune and fame on the Hoover Dam contract; Frank Crowe, the brilliant, obsessed field engineer who relentlessly drove the work force to finish the dam two and a half years ahead of schedule; Sims Ely, the irascible, teetotaling eccentric who ruled Boulder City, the straightlaced company town created for the dam workers by the federal government; and many more men and women whose courage and sacrifice, greed and frailty, made the dam’s construction a great human, as well as technological, adventure.Hoover Dam is a compelling, irresistible account of an extraordinary American epic.

    It is more powerful than any other." - Dr. Richard Schulze, Medical Herbalist from herbdoc.com.Hats off to you! You've just plunged into a wealth of information that hardly any professional doctors have a clue about. Get ready to relish in the brilliance of the kitchen miracle that surgeons shun and doctors disgrace.A sea of unknown, unrevealed information awaits you. This book will act as your guide, so that you will soon be able to harness the full power of cayenne - the herb I once took for granted, and the herb that I now owe my health.Everyone out there seems to be promoting good health. Well, that's great. Good health is something that needs to be promoted. You need herbs, not drugs. You need nature, not synthetics. You need to use the proven, natural, side-affect-free healers that the earth is full of, not the clear, cold liquids that scientists processed through a test tube.If I had the time, I'd drive from house to house, shaking people out of their beds and telling them to wake up to the miracles of cayenne. But I can't, so I've got the next best thing.This report, which I've been compiling for a while, is brimming with the fiery brilliance of cayenne and all that I've found out about it.For example, cayenne has been known to cure 17 big diseases. It has been known to stop a heart attack in a matter of minutes. It can sharpen your vision better than the most powerful contact lenses available. It can expand your arteries like anything, giving the blood room to really flow and travel everywhere, from your arms (giving you strength) to your brain (giving you better brainpower). It can cure arthritis and much, much more.If your heart can't pump enough blood to a certain area, take cayenne pepper.Because if you're on prescription medications, you could take up to a year (or more!) to heal. But if you take cayenne, you could cut it down to a month or two.Did you know that if you take garlic in the right proportions, you can bring your blood pressure back to normal in three months?Well, if you add cayenne, you could cut that down to three days.Cayenne can unclog your kidneys and your sinuses, allow you to breathe freely and restore broken, bleeding gums to normal. Cayenne, in short, is a kitchen miracle.I owe my health to cayenne. I hope that by reading this report, you soon will too.To your health,Sharon Daniels

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Whatever your circumstances, you can create the life you desire by following simple, counterintuitive steps; not the steps society wants you to follow. Unfortunately, you cannot even trust yourself when it comes to creating the life that you desire, because you’re programmed by your past, an accumulation of hundreds of thousands of years, a mind still adapted for a hunter-gatherer time period. What does this mean? It means every day you’re battling your emotions, logic versus emotion. Logically, you want to do one thing, but emotionally, you are drawn to something else. First, if this sounds familiar, then great, because it means you are human. But, if you’re going to win the game of life, you cannot sit around and wait for things to happen, because you’ll be living a life of supreme comfort and sameness; ultimately, a great sin. You are destined for great things, capable of forging dreams and living your aspirations. Maybe you’ve forgotten about this truth: that you are capable, worthy, and ready. Maybe you’ve been beaten into the ground by life, a teacher who doesn’t care if you’re rich or poor, weak or strong, ready or not, because life will continue forward regardless, waiting for no one. Fortunately, there’re things you can do to set yourself apart from the millions that will ultimately suffer and fail. One such thing, perhaps the most powerful of all, is by studying the great, people who have succeeded and who have gone beyond what is humanly thought possible. When it comes to studying someone great, there’s one name that stands tall, Stephen Hawking, a person who has persevered and flourished. Not only has he conquered great adversity, but he has inspired millions around the world with his brilliant mind. There is a reason why people compare him with the once living Albert Einstein, the genius. What follows are Stephen Hawking’s greatest life lessons, gems of wisdom that you can easily apply to your own life, which will help you live a more abundant, stronger life. If you’re in need of inspiration, a boost of confidence, or just a friendly reminder of the wonders in life, you’ve come to the right place. See for yourself why millions study his work and regard him as a genius. Scroll up and grab your copy today.*** Limited time offer ***

    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

    Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics -- the universal language of science -- keep the masterpieces of the subject hidden behind a veil?"The Universe in Zero Words" tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society -- from the elementary (1+1 = 2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E = mc^2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called a "popular-science ace" by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives.(From the jacket copy.)Note: The Princeton University Press version (black cover) is for sale in the English-speaking world outside Australia. The Newsouth Press version (blue cover) is for sale in Australia. The two versions are identical except for the covers.

    Quantum) is, as Deepak Chopra states, "one of the most important pioneers in the field of consciousness." Featured in the wordofmouth indie hit, What the Bleep Do We Know?!, Dr. Wolf is a physicist who knows how to put complex sciencebased ideas into terms that even sciencephobes can understand. With clarity and a sense of humor, Dr. Quantum presents Big Ideas in the form of both short quotes and longer excerpts and covers topics ranging from the construction of our everyday reality to our relationship to one another. Dr. Quantum's Little Book of Big Ideas is a perfect gift for anyone interested in the realm where science meets spirit.

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    Recent technological advances allow us to probe and manipulate these pinpoints of sound, dissolving the traditional building blocks of music--notes and their intervals--into a more fluid and supple medium. The sensations of point, pulse (series of points), line (tone), and surface (texture) emerge as particle density increases. Sounds coalesce, evaporate, and mutate into other sounds. Composers have used theories of microsound in computer music since the 1950s. Distinguished practitioners include Karlheinz Stockhausen and Iannis Xenakis. Today, with the increased interest in computer and electronic music, many young composers and software synthesis developers are exploring its advantages. Covering all aspects of composition with sound particles, Microsound offers composition theory, historical accounts, technical overviews, acoustical experiments, descriptions of musical works, and aesthetic reflections.

    It would become the world's most baffling mathematical mystery. Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.

    Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    In this small volume, Miranda Lundy presents a unique introduction to this most ancient and timeless of universal sciences.Sacred Geometry demonstrates what happens to space in two dimensions - a subject last flowering in the art, science and architecture of the Renaissance and seen in the designs of Stonehenge, mosque decorations and church windows. With exquisite hand-drawn images throughout showing the relationship between shapes, the patterns of coin circles, and the definition of the golden section, it will forever alter the way in which you look at a triangle, hexagon, arch, or spiral.