Moreover, the achievements of the early people of Africa are as amazing and inspiring as the achievements of any other people.This history is much older than the Trans-Atlantic Slave Trade.The author introduces his readers to the early civilizations of Africa that existed long before the coming of the Europeans. Among these were the Songhai Empire, the Benin Empire, the Kanem-Borno Empire, the Monomotapa Empire, the Swahili Confederation, the Medieval Nubian kingdoms and the Axumite Empire.The author also introduces the ancient civilizations of Africa particularly those of the Nile Valley such as Nubia and Ancient Egypt.The book is illustrated with 18 images and maps. Finally, the book recommends other books for more in depth study.

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    Kennedy, Jr.’s gang. He had his own famed “Rat Pack,” made up of hard drinking, womanizing individuals like himself—guys like Dean Martin, Sammy Davis, Jr., and Peter Lawford—but the guy “Ol’ Blue Eyes” really wanted to hang with was Lawford’s brother-in-law, the real chairman of the board, John F. Kennedy.In Sinatra and the Jack Pack, Michael Sheridan delves deep into the acclaimed singer’s relationship with the former president. He shares how Sinatra emerged from a working class Italian family and carved out a unique place for himself in American culture, and how Kennedy, also of immigrant stock, came from a privileged background of which the young Frank could only have dreamed.By the time the men met in the 1950s, both were thriving—and both liked the good life. They bonded over their mutual ability to attract beautiful women, male admirers, and adoring acolytes. They also shared a scandalous secret: each had dubious relationships with the mafia. It had promoted Frank’s career and helped Kennedy buy votes. FBI Director J. Edgar Hoover had, over two decades, compiled detailed and damning dossiers on their activities.From all accounts the friendship thrived. Then, suddenly, in March 1962, Frank was abruptly ejected from JFK’s gang. This unique volume tells why. It will release shortly after a television documentary inspired by the book airs, is filled with a beloved cast of characters, and is the compelling, untold story of a tumultuous relationship between two American icons.Skyhorse Publishing, as well as our Arcade imprint, are proud to publish a broad range of books for readers interested in history--books about World War II, the Third Reich, Hitler and his henchmen, the JFK assassination, conspiracies, the American Civil War, the American Revolution, gladiators, Vikings, ancient Rome, medieval times, the old West, and much more. While not every title we publish becomes a New York Times bestseller or a national bestseller, we are committed to books on subjects that are sometimes overlooked and to authors whose work might not otherwise find a home.

    He decried the internment of Japanese-Americans in World War Two, agitated against nuclear weapons, promoted vitamin C as a cure for the common cold and researched the idea of DNA.

    Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

    They will also develop a deeper understanding of the many interconnections that exist among the different areas of psychology. Goodwin's book not only provides accounts of the lives and contributions of psychology's pioneers set into historical context; it also contains original writings by these psychologists, interwoven with informative comments from the author. The text is written in a conversational and engaging style with discrete attention to recent scholarship in the history of psychology, especially that of the past 150 years.

    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics.A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries — plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs.Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It “lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting." — Saturday Review of Literature.

    Whether it is Hannibal of Carthage marching elephants across the Alps and attacking the heart of Rome, Khalid ibn al-Walid boasting an undefeated military career and destroying the Persian Empire while subduing the Byzantines, or Russian General Alexander Suvurov and his elevation of the bayonet to a work of art that could cut down any European army, great military leaders have exerted tremendous influence on society. This book will look at the lives of the ten greatest military commanders in history. Some conquered the fullest expanse of the known world, as did Alexander the Great. Still others were master statesmen and capable of translating military victory into long-term political gains, such as Julius Caesar, whose vanquishing of the Gauls and his political opponents laid the groundwork for several centuries of unmatchable Roman imperial might. It will also look at the tactics they used to bring down stronger armies and befuddle them at every turn; whether it is Napoleon, who nearly conquered Europe through his deadly manoeuvre sur les derrieres and marching unexpectedly away from the enemy's main strength and concentrating on a weak but vital enemy point; or Hannibal's double entrapment maneuver, which has been the envy of military strategists for the last 2,000 years. Whatever their background, these rulers show that the right military commander at the right time in history can destroy an empire, change civilization, and alter the course of world history forever.

    It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.

    The colonists were fighting for rights they felt they deserved, not only as British citizens, but as human beings. The belief that rights to life, liberty, and the pursuit of happiness were God given and not dependent upon any government or ruler gave the revolutionaries the courage to fight against overwhelming odds and eventually win their freedom. Inside you will read about... ✓ A Series of Oppressions ✓ Death and Taxes ✓ Out of Many, One ✓ War in Earnest ✓ Voices of Liberty ✓ Independence And more! The new government they created for the United States of America would be unlike anything seen before in world history, and their fight has continued to change the world to this day.

    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.

     This book is perfect for history lovers. Author James Weber did the research and compiled this huge list of events that changed the course of history forever. Some of them include: - The first civilization in Mesopotamia in 3,000 B.C. - The Norman Invasion of England in 1066 - The invention of the printing press by Johannes Guttenberg around 1450 - The French Revolution in 1789 - The first motorized airplane flight in 1903 - The Moonlanding in 1969 and many many more The book includes pictures and explanations to every event, making this the perfect resource for students and anyone wanting to broaden their knowledge in histoy. Download your copy now! Tags: history, world history, history books, history of the world, human history, world history textbook, history books for kids, earth history, geographic history, earth history kindle, human history, history books for kids age 9 12, history of the world part 1, a little history of the world, history books for kids age 7-9, history books for young readers, history books for children, history books for kindle,

    Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.