Army and Navy and the British government over the last five years. Now, Battle of Wits presents the history of the war that these documents reveal. From the battle of Midway until the last German code was broken in January 1945, this is an astonishing epic of a war that was won not simply by brute strength but also by reading the enemy's intentions. The revelations of Stephen Budiansky's dramatic history include how Britain tried to manipulate the American codebreakers and monopolize German Enigma code communications; the first detailed published explanations of how the Japanese codes were broken; and how the American codebreaking machines worked to crack the Japanese, the German, and even the Russian diplomatic codes. The compelling narrative shows the crucial effect codebreaking had on the battlefields by explaining the urgency of stopping the wolf pack U-boat attacks in the North Atlantic, the importance of halting Rommel's tanks in North Africa, and the necessity of ensuring that the Germans believed the Allies' audacious deception and cover plans for D-Day. Unveiled for the first time, the complete story of codebreaking in World War II has now been told.

    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.

    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

    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.

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    An extremely clever account.--The New Yorker.

    You will be astonished to learn about some of the events that have occurred! Here is a Sneak Peek of What you will Learn: - Ancient History - Asian History - European and Russian History - American History - Australian History - World Wars I & II, and the Vietnam War - And much, much, more Here is what other readers say about this book: "This book is packed with really important information about the world's history." "I was surprised how much I learned from this. I really like how everything is laid out, it makes it very easy to follow. I especially like the section on Native Americans" "I couldn't put this book down, and not because I'm a nerdy avid reader (I am) but because it's filled with so much about our world history without the facts jumping all over the place like some history books I've read." "I am highly impressed by the content of this book and I would recommend this to all my colleagues as well" Subjects include: Ancient Greece, Ancient Egypt, The Roman Empire, Constantine and Christianity, India, Ancient Korea, Chinese Dynasties, Napoleonic Europe, Foundation of USA, The 1812 War, Australia and Wars, World War I, World War II, The Ottoman Empire, Greece and North Africa, The Diem Regime, Pearl Harbor and much more! All Continents As Known Today Are Covered: North America, Europe, Asia, Africa and Australia. Take action and get this book now!

    To Alexander the Great, the country was a place of clever naked philosophers and massive armies mounted on elephants – which eventually forced his army to retreat. To ancient Rome, it was a source of luxuries, mainly spices and textiles, paid for in gold—hence the enormous numbers of Roman gold coins excavated in India. At the height of the Mughal empire in 1700, India boasted 24 percent of the world economy—a share virtually equal to Europe’s 25 percent. But then its economy declined. Colonial India was known for its extremes of wealth and poverty, epitomized by the Taj Mahal and famines, maharajas and untouchables, and also for its spirituality: many-armed Hindu gods and Buddhist philosophy, Mahatma Gandhi and Rabindranath Tagore.India: A Short History places as much emphasis on individuals, ideas and cultures as on the rise and fall of kingdoms, political parties and economies. Anyone curious about a great civilization, and its future, will find this an ideal introduction, at times controversial, written by an author who has been strongly engaged with India for more than three decades.

    Maisel, Monk) calmly tells the tale of how the ancient Greeks formalized the study of mathematics based on Phoenician teachings. Bedtime stories are narrated by the world’s most celebrated voices and written with no beginning, middle, or end so you don’t stay up to hear what happens next. They're interesting enough to give your mind something to focus on, but delivered in a way that encourages sleep. This title is part of the Audible Sleep Collection, exclusive audio experiences created to invite relaxation and sleep. New and free for members.Public Domain (P)2020 Audible

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    Using illustrations and examples from science fiction pulp magazines and comic books, The Amazing Story of Quantum Mechanics explains the fundamental principles of quantum mechanics that underlie the world we live in.Watch a Video

    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    For it is but the record of the public and official acts of human beings. It is our object, therefore, to humanize our history and deal with people past and present; people who ate and possibly drank; people who were born, flourished, and died. And if we cannot laugh at ourselves, then we are condemned to repeat the very same deeds of the past.