It affects us all. We depend on it in our daily lives, and yet many of the tools of mathematics, such as geometry, algebra and trigonometry, are descended from ancient or non-Western civilizations.Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, the calculus, the theory of the infinite, statistical reasoning and chaos theory. It shows how the history of mathematics has seen progress and paradox go hand in hand - and how this is still happening today.

    Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues surrounding the topic in an easy-to-follow and friendly manner. It will take you through the influence of logic on scientific method and the various sciences from physics to psychology, and will show you why computers and digital technology are just another case of logic in action.

    

    

    Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.

    Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.

    In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    

    Written in a concise, bulleted outline format, this well-illustrated text offers 500 USMLE-style review questions, answers, and explanations and features comprehensive content and upgraded USMLE Step 1 information.

    Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.

    The complete book about the life of Academy Award nominee River Phoenix, from his parents beginning, his birth, member of a cult religion, to his TV acting, activism, veganism and movie career.

    He examines the power of the arguments embedded in these speeches to inspire people to achieve great things, or do great harm. Abbott draws upon his political expertise to explain how our current understanding of the world is rooted in pivotal moments of history. These moments are captured in the words of a range of influential speakers including: Emmeline Pankhurst, Martin Luther King, Jr, Enoch Powell, Napoleon Beazley, Kevin Rudd, Alexander Solzhenitsyn, Ronald Reagan, George W. Bush, Osama bin Laden, Margaret Beckett, Winston Churchill, Salvador Allende, Margaret Thatcher, Tony Blair, Tim Collins, Mohandas Gandhi, Dwight D. Eisenhower, Robin Cook and Barack Obama. The speeches in this book are arranged thematically, linked by concepts such as 'might is right', 'with us or against us' and 'give peace a chance'. Each transcript is accompanied by an insightful commentary that analyses how the words relate to our modern society. Fresh and relevant, this is a book that will make you stop in your tracks and think about what is really happening in the world today.

    Until now, there has been little scrutiny of that life. The reason: Woody viewed biographers as the Ebola plague, dangerous, uncontrollable contagions that might squish his public persona into mousse. Allen's prolific achievements are all but unparalleled in cinematic history. To fans, his films have always represented an ongoing autobiography, through which he has bared his self-deprecating overanalytical soul to the world. It was not until 1992, when his stormy private life turned into sensational headlines, that the cracks in the familiar persona appeared. The lines separating art and fact, myth and reality, public and private life, became increasingly blurred.Marion Meade has tracked down scores of people in Allen's life who have never before spoken to an Allen biographer: boyhood pals; Brooklyn neighbors and teachers; colleagues Buddy Hackett and Mel Brooks from his early career as a television writer and stand-up comic; actors Maureen Stapleton, Max von Sydow, and Bob Hope; director Sydney Pollack; and the film reviewers who have followed his career for decades -- Vincent Canby, Roger Ebert, Stanley Kauffmann, Andrew Sarris, and John Simon. She also details the numerous examples of art imitating life in Allen's films, particularly the extraordinary saga behind his marriage to the adopted daughter of his long-time lover, Mia Farrow.In reconstructing Allen's life, Meade explores the cult of celebrity in America -- how it is our own infatuation with the rich and famous that has made it possiblefor this supremely talented man to shrewdly manipulate both the media and the moviegoing public.