This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them.

    Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

    His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.

    Designed for two-semester, beginning graduate courses in Mathematical Statistics, and for senior undergraduate Mathematics, Statistics, and Actuarial Science majors, this text retains its ongoing features and continues to provide students with background material.

     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations.Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel's incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.

    Cohan, whose reporting and writing have been hailed as “gripping” (the New York Times), “authoritative” (the Washington Post), and “seductively engrossing” (Chicago Tribune), presents a stunning new account of the Duke lacrosse team scandal that reveals the pressures faced by America’s elite colleges and universities and pulls back the curtain, in a riveting narrative, on the larger issues of sexual misconduct, underage drinking, and bad-boy behavior—all too prevalent on campuses across the country. Despite being front-page news nationwide, the true story of the 2006 Duke lacrosse team rape case has never been told in its entirety and is more complex than all the reportage to date would indicate. The Price of Silence is the definitive, magisterial account of what happens when the most combustible forces in American culture— unbridled ambition, intellectual elitism, athletic prowess, aggressive sexual behavior, racial bias, and absolute prosecutorial authority—collide and then explode on a powerful university campus, in the justice system, and in the media.What transpired at Duke followed upon the university’s unprecedented and determined effort to compete directly with the Ivy League for the best students and with its Division I rivals for supremacy in selected sports—most famously men’s basketball, where Duke has become a perennial powerhouse and the winner of four national championships. As Cohan brilliantly shows, the pursuit of excellence in such diverse realms put extraordinary strains on the campus culture and—warned some longtime Duke observers—warped the university’s academic ethos. Duke became known for its “work hard, play hard” dynamic, and specifically for its wild off-campus parties, where it seemed almost anything could happen—and often did.Cohan’s reconstruction of the scandal’s events—the night in question, the local police investigation, Duke’s actions, the lacrosse players’ defense tactics, the furious campus politics—is meticulous and complete. Readers who think they know the story are in for more than one surprise, for at the heart of it are individuals whose lives were changed forever. As the scandal developed, different actors fought to control the narrative. At stake were not just the futures of the accused players, the reputation of the woman claiming she was raped, and the career of the local prosecutor, but also the venerable and carefully nurtured name of Duke University itself—the Duke brand, exceedingly valuable when competing for elite students, world-class athletes, talented professors, and the financial support of its nationally prominent, deep-pocketed alumni. The battle for power involved the Duke administration, led by its president, Richard Brodhead, a blazing academic star hired away from Yale; the Duke board of trustees, which included several titans of Wall Street; the faculty, comprising a number of outspoken critics of the lacrosse players; the athletes’ parents, many of whom were well connected in Washington and New York and able—and willing—to hire expensive counsel to defend their sons; and, ultimately, the justice system of North Carolina, which took over the controversial case and rendered its judgment.The price of resolving the scandal proved extraordinarily high, both in terms of unexpected human suffering and the stratospheric costs of settling legal claims. The Price of Silence is a story unlike any other, yet sheds light on what is really happening on campuses around the country as colleges and universities compete urgently with one another, and confirms William Cohan’s preeminent reputation as one of the most lively and insightful journalists working today.

    

    Another brilliant political adventure from the co-host of BBC’s NewsnightThe Anglo-American ‘Special Relationship’ is in deep trouble. The ambitious vice-president, Bobby Black, who wields greater influence over foreign affairs than his titular boss has fallen out with the British PM. The young British Ambassador to Washington knows he must step in. He is in a delicate position however – with the expectations of the British Government on him, as well as those of his father-in-law, the PM.In a bid to orchastrate some good PR, Black is invited to England, accompanied by a plane load of assistants and CIA security. Guided by his aristocratic host, he goes out to the moors–and disappears. He is not seen again until humilating photographs begin to appear, and then again, silence.The Americans are outraged that their VP has gone missing on British soil and the relationship between the two countries seem irrevocably damaged. But what can be done? Missing but not confirmed dead is a consitutional grey area, and should Black reappear, can he ever be trusted again?

    The manuscript was a palimpsest-a book made from an earlier codex whose script had been scraped off and the pages used again. Behind the script of the thirteenth-century monk's prayer book, the palimpsest revealed the faint writing of a much older, tenth-century manuscript. Part archaeological detective story, part science, and part history, The Archimedes Codex tells the extraordinary story of this lost manuscript, from its tenth-century creation in Constantinople to the auction block at Christie's, and how a team of scholars used the latest imaging technology to reveal and decipher the original text. What they found was the earliest surviving manuscript by Archimedes (287 b.c.-212 b.c.), the greatest mathematician of antiquity-a manuscript that revealed, for the first time, the full range of his mathematical genius, which was two thousand years ahead of modern science.

    With a cruel council leading the only safe city of it's kind in this world, she will have to prove her worth to stay as well as help this city as it is the target for two evil wizards who seek to destroy the city and it's ruling council.Will the council's mighty army of guardians be enough to repel the onslaught of the two wizards' wrath?To help the city and also get back home, she will need the help of the greatest mathematician of all time, Archimedes. In a world where math is magic, Alex wishes she paid more attention in math class.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    When the Berenstain Bears go acrobatic in the hilarious Bears onWheels, pre-school children begin to relate words to pictures whilelearning about numbers and counting.

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.