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.

    Charles Pellegrino’s scientific authority and close relationship with the A-bomb’s survivors make his account the most gripping and authoritative ever written.** At the narrative’s core are eyewitness accounts of those who experienced the atomic explosions firsthand—the Japanese civilians on the ground and the American flyers in the air. Thirty people are known to have fled Hiroshima for Nagasaki—where they arrived just in time to survive the second bomb. One of them, Tsutomu Yamaguchi, is the only person who experienced the full effects of the cataclysm at ground zero both times. The second time, the blast effects were diverted around the stairwell in which Yamaguchi had been standing, placing him and a few others in a shock coccoon that offered protection, while the entire building disappeared around them.Pellegrino weaves spellbinding stories together within an illustrated narrative that challenges the “official report,” showing exactly what happened in Hiroshima and Nagasaki—and why. **As of Mar 2010, the publisher is discontinuing publication of the book due to issues with its veracity. "Publisher Henry Holt and Company, said that author Charles Pellegrino "was not able to answer" concerns about "The Last Train from Hiroshima," including whether two men mentioned in the book actually existed...Doubts were first raised about the book a week ago after Pellegrino acknowledged that one of his interview subjects had falsely claimed to be on one of the planes accompanying the Enola Gay, from which an atom bomb was dropped by the United States on Hiroshima in 1945. Holt had initially promised to send a corrected edition.But further doubts about the book emerged. The publisher was unable to determine the existence of a Father Mattias (the first name is not given) who supposedly lived in Hiroshima at the time of the bombing, and John MacQuitty, identified as a Jesuit scholar presiding over Mattias' funeral.Pellegrino's own background was also questioned. He sometimes refers to himself as Dr. Pellegrino, and his Web site lists him as receiving a Ph.D. in 1982 from Victoria University of Wellington, New Zealand. But in response to a query from the AP, the school said it had no proof that Pellegrino had such a degree."

    Their choices are limited by mountains, rivers, seas, and concrete. To understand world events, news organizations and other authorities often focus on people, ideas, and political movements, but without geography, we never have the full picture. Now, in the relevant and timely Prisoners of Geography, seasoned journalist Tim Marshall examines Russia, China, the USA, Latin America, the Middle East, Africa, Europe, Japan and Korea, and Greenland and the Arctic—their weather, seas, mountains, rivers, deserts, and borders—to provide a context often missing from our political reportage: how the physical characteristics of these countries affect their strengths and vulnerabilities and the decisions made by their leaders.In ten, up-to-date maps of each region, Marshall explains in clear and engaging prose the complex geo-political strategies of these key parts of the globe. What does it mean that Russia must have a navy, but also has frozen ports six months a year? How does this affect Putin’s treatment of Ukraine? How is China’s future constrained by its geography? Why will Europe never be united? Why will America never be invaded? Shining a light on the unavoidable physical realities that shape all of our aspirations and endeavors, Prisoners of Geography is the critical guide to one of the major (and most often overlooked) determining factors in world history.

    He constructed a fleet of customized unicycles and a flamethrowing trumpet, outfoxed Vegas casinos, and built juggling robots. He also wrote the seminal text of the digital revolution, which has been called “the Magna Carta of the Information Age.” His discoveries would lead contemporaries to compare him to Albert Einstein and Isaac Newton. His work anticipated by decades the world we’d be living in today—and gave mathematicians and engineers the tools to bring that world to pass.In this elegantly written, exhaustively researched biography, Jimmy Soni and Rob Goodman reveal Claude Shannon’s full story for the first time. It’s the story of a small-town Michigan boy whose career stretched from the era of room-sized computers powered by gears and string to the age of Apple. It’s the story of the origins of our digital world in the tunnels of MIT and the “idea factory” of Bell Labs, in the “scientists’ war” with Nazi Germany, and in the work of Shannon’s collaborators and rivals, thinkers like Alan Turing, John von Neumann, Vannevar Bush, and Norbert Wiener.And it’s the story of Shannon’s life as an often reclusive, always playful genius. With access to Shannon’s family and friends, A Mind at Play brings this singular innovator and creative genius to life.

    In this definitive masterwork, distinguished Oxford historian Albert Hourani offers the most lucid, enlightening history ever written on the subject. From the rise of Islam to the Palestinian issue, from the Prophet Mohammed to Mu'ammar al-Qadhafi. A History of the Arab Peoples chronicles the rich spiritual, political and cultural institutions of this civilization through thirteen centuries of war, peace, literature and religion. Lauded by authorities, encyclopedic and panoramic in its scope, here is a remarkable window on today's conflicts and on the future of a glorious and troubled land.

    Ideal for anyone who wants to read a great work for the first time or revisit an old favorite, these new editions open the door to the stories and ideas that have shaped our world.

    Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    But now, astonishing new research is revealing patterns in human behavior previously thought to be purely random. Precise, orderly, predictable patterns... Albert Laszlo Barabasi, already the world's preeminent researcher on the science of networks, describes his work on this profound mystery in Bursts, a stunningly original investigation into human nature. His approach relies on the digital reality of our world, from mobile phones to the Internet and email, because it has turned society into a huge research laboratory. All those electronic trails of time stamped texts, voicemails, and internet searches add up to a previously unavailable massive data set of statistics that track our movements, our decisions, our lives. Analysis of these trails is offering deep insights into the rhythm of how we do everything. His finding? We work and fight and play in short flourishes of activity followed by next to nothing. The pattern isn't random, it's "bursty." Randomness does not rule our lives in the way scientists have assumed up until now. Illustrating this revolutionary science, Barabasi artfully weaves together the story of a 16th century burst of human activity-a bloody medieval crusade launched in his homeland, Transylvania-with the modern tale of a contemporary artist hunted by the FBI through our post 9/11 surveillance society. These narratives illustrate how predicting human behavior has long been the obsession, sometimes the duty, of those in power. Barabási's astonishingly wide range of examples from seemingly unrelated areas include how dollar bills move around the U.S., the pattern everyone follows in writing email, the spread of epidemics, and even the flight patterns of albatross. In all these phenomena a virtually identical, mathematically described bursty pattern emerges.Bursts reveals what this amazing new research is showing us about where individual spontaneity ends and predictability in human behavior begins. The way you think about your own potential to do something truly extraordinary will never be the same.

    Drawing on his experience as one of the foremost statesmen of the modern era—advising presidents, traveling the world, observing and shaping the central foreign policy events of recent decades—Kissinger now reveals his analysis of the ultimate challenge for the twenty-first century: how to build a shared international order in a world of divergent historical perspectives, violent conflict, proliferating technology, and ideological extremism.There has never been a true “world order,” Kissinger observes. For most of history, civilizations defined their own concepts of order. Each considered itself the center of the world and envisioned its distinct principles as universally relevant. China conceived of a global cultural hierarchy with the Emperor at its pinnacle. In Europe, Rome imagined itself surrounded by barbarians; when Rome fragmented, European peoples refined a concept of an equilibrium of sovereign states and sought to export it across the world. Islam, in its early centuries, considered itself the world’s sole legitimate political unit, destined to expand indefinitely until the world was brought into harmony by religious principles. The United States was born of a conviction about the universal applicability of democracy—a conviction that has guided its policies ever since.Now international affairs take place on a global basis, and these historical concepts of world order are meeting. Every region participates in questions of high policy in every other, often instantaneously. Yet there is no consensus among the major actors about the rules and limits guiding this process, or its ultimate destination. The result is mounting tension.Grounded in Kissinger’s deep study of history and his experience as National Security Advisor and Secretary of State, World Order guides readers through crucial episodes in recent world history. Kissinger offers a unique glimpse into the inner deliberations of the Nixon administration’s negotiations with Hanoi over the end of the Vietnam War, as well as Ronald Reagan’s tense debates with Soviet Premier Gorbachev in Reykjavík. He offers compelling insights into the future of U.S.–China relations and the evolution of the European Union, and examines lessons of the conflicts in Iraq and Afghanistan. Taking readers from his analysis of nuclear negotiations with Iran through the West’s response to the Arab Spring and tensions with Russia over Ukraine, World Order anchors Kissinger’s historical analysis in the decisive events of our time.Provocative and articulate, blending historical insight with geopolitical prognostication, World Order is a unique work that could come only from a lifelong policymaker and diplomat.

    Of course, it’s not all cooking; we’ll also run the New York and Chicago marathons, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of a tomato’s identity as a vegetable. This is not the math of our high school classes: mathematics, Cheng shows us, is less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.At the heart of How to Bake Pi is Cheng’s work on category theory—a cutting-edge “mathematics of mathematics.” Cheng combines her theory work with her enthusiasm for cooking both to shed new light on the fundamentals of mathematics and to give readers a tour of a vast territory no popular book on math has explored before. Lively, funny, and clear, How to Bake Pi will dazzle the initiated while amusing and enlightening even the most hardened math-phobe.

    As a result, whether we realize it or not, the drive to obtain food has been a major catalyst across all of history, from prehistoric times to the present. Epicure Jean-Anthelme Brillat-Savarin said it best: "Gastronomy governs the whole life of man." In fact, civilization itself began in the quest for food. Humanity's transition to agriculture was not only the greatest social revolution in history, but it directly produced the structures and institutions we call "civilization." In 36 fascinating lectures, award-winning Professor Albala puts this extraordinary subject on the table, taking you on an enthralling journey into the human relationship to food. With this innovative course, you'll travel the world discovering fascinating food lore and culture of all regions and eras - as an eye-opening lesson in history as well as a unique window on what we eat today.

    His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.

    The esteemed historian Robert O. Paxton answers this question for the first time by focusing on the concrete: what the fascists did, rather than what they said. From the first violent uniformed bands beating up “enemies of the state,” through Mussolini’s rise to power, to Germany’s fascist radicalization in World War II, Paxton shows clearly why fascists came to power in some countries and not others, and explores whether fascism could exist outside the early-twentieth-century European setting in which it emerged. The Anatomy of Fascism will have a lasting impact on our understanding of modern European history, just as Paxton’s classic Vichy France redefined our vision of World War II. Based on a lifetime of research, this compelling and important book transforms our knowledge of fascism–“the major political innovation of the twentieth century, and the source of much of its pain.”

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature