. . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    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.

    Preparing those mouthwatering meals is a snap with the 403 comforting recipes in Taste of Home Slow Cooker. With a just a hint of planning, an incredible meal can simmer to perfection on its own while you’re at work, running errands, or spending time with the family. Best of all, most of the entrees are meal-in-one specialties, so you can set dinner on the table in a flash. Chapters include recipes for:Beef, Pork, and Poultry: Sweet and Savory Brisket,Chicago-Style Beef Sandwiches, Ham Tetrazzini, Cranberry Turkey Breast with Gravy  Soups, Stews & Chili: Cincinnati Chili, No-Fuss Potato Soup, Everything Stuffing, Shrimp Marinara New Lightened Up chapter contains dozens of lightened-up takes on beloved classics: meat loaf, creamy artichoke dip, beef stew, sloppy joes and even dessert. Sweets, Snacks & Drinks chapter makes entertaining so easy with best-loved meatballs, dips and snacks, hot drinks, delectable desserts and more.  And because it’s Taste of Home, you’ll also find:A beginner-friendly overview of the basics of slow cooking Easy-to-follow directions with cooking tips throughout Prep/Cook times Recipes made with everyday ingredients  CHAPTERS Beef Pork Poultry Other Entrees Soups, Stews & Chili Side Dishes Sweets, Snacks & Drinks Ligthened Up   RECIPES Sweet and Savory Brisket Chicago-Style Beef Sandwiches Ham Tetrazzini Cranberry Turkey Breast with Gravy Spinach Alfredo Lasagna Stamp-of-Approval Spaghetti Sauce Vegetarian Chili Ole! Stuffing from the Slow Cooker Seafood Cheese Dip Apple Betty with Almond Cream

    Good climbers have to build and maintain each of these assets. This is the first-ever book to provide climbers of all ages and experience with the knowledge and tools to design and follow a comprehensive, personalized exercise program. Part One covers the basics of physical conditioning and goal-setting. Part Two takes readers through warm-up and flexibility routines, entry-level strength training, weight loss tips, and fifteen core-conditioning exercises. Part Three details climbing-specific conditioning, with twenty exercises to target specific muscles of the fingers, arms and upper torso to develop power and endurance. An entire chapter focuses on the antagonist muscle groups that help provide balance and stability, and prevent muscle injury. This section also has a chapter devoted to stamina conditioning, increasing the climber's endurance at high altitudes. Part Four shows how to put together a customized training program to suit the climber's needs. The book includes workout sheets for Beginner, Intermediate, and Advanced skill levels, tips for children and those over age fifty, secrets of good nutrition and an insider's take on avoiding injuries. Eric H�rst is a performance coach who has helped thousands of climbers. His published works include Learning to Climb Indoors, Training for Climbing, and How to Climb 5.12. He lives in Lancaster, Pennsylvania.

    Text, illustrations, and suggested activities offer a common-sense approach to mathematic fundamentals for those who are slightly terrified of numbers.

    Enjoy a thrilling intergalactic tour as Andrew Thomas redefines the force of gravity and introduces a brave new view of the universe!

    With this astonishing guidebook, Surfing Through Hyperspace, you need not be a mathematician or an astrophysicist to explore the all-but-unfathomable concepts of hyperspace and higher-dimensional geometry.No subject in mathematics has intrigued both children and adults as much as the idea of a fourth dimension. Philosophers and parapsychologists have meditated on this mysterious space that no one can point to but may be all around us. Yet this extra dimension has a very real, practical value to mathematicians and physicists who use it every day in their calculations. In the tradtion of Flatland, and with an infectious enthusiasm, Clifford Pickover tackles the problems inherent in our 3-D brains trying to visualize a 4-D world, muses on the religious implications of the existence of higher-dimensional consciousness, and urges all curious readers to venture into the unexplored territory lying beyond the prison of the obvious. Pickover alternates sections that explain the science of hyperspace with sections that dramatize mind-expanding concepts through a fictional dialogue between two futuristic FBI agents who dabble in the fourth dimension as a matter of national security. This highly accessible and entertaining approach turns an intimidating subject into a scientific game open to all dreamers.Surfing Through Hyperspace concludes with a number of puzzles, computer experiments and formulas for further exploration, inviting readers to extend their minds across this inexhaustibly intriguing scientific terrain.

    

    It uses examples and exercise sets, with clear explanations of problem-solving techniqes and material on the further theory of functions.

    what is 8?What is the next letter in the sequence: M, V, E, M, J, S, U, ?Which of the following words is the odd one out: CHAT, COMMENT, ELF, MANGER, PAIN, POUR?GCHQ is a top-secret intelligence and security agency which recruits some of the very brightest minds. Over the years, their codebreakers have helped keep our country safe, from the Bletchley Park breakthroughs of WWII to the modern-day threat of cyberattack. So it comes as no surprise that, even in their time off, the staff at GCHQ love a good puzzle. Whether they're recruiting new staff or challenging each other to the toughest Christmas quizzes and treasure hunts imaginable, puzzles are at the heart of what GCHQ does. Now they're opening up their archives of decades' worth of codes, puzzles and challenges for everyone to try.In this book you will find:- Tips on how to get into the mindset of a codebreaker- Puzzles ranging in difficulty from easy to brain-bending- A competition section where we search for Britain's smartest puzzlerGood luck!

    Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.

     Is it fantasy or reality? In this extraordinary and fascinating book, bestselling author Jess Stearn reveals that perfect love does exist--that you can find it, experience it . . . and with it, change your life forever. Here are the inspiring stories of many real-life soulmates Stearn has met, the innermost secrets of celebrities like Shirley MacLaine, Susan Strasberg, Howard Hughes, and Joan Hackett, who have sought and found the ultimate love.Now you can share in the drama and ecstasy of fulfilling your deepest and most powerful yearnings and desires. You too can find your own true soulmate.

    Taxi Driver Wisdom takes readers behind the Plexiglass curtain with pearls of wisdom from the most multicultural, multiethnic, multireligious group of philosophers ever assembled: New York Cab drivers. Atmospheric black and white photographs are paired with pithy quotes from downtown Descartes and freeway Foucaults-and bound with a faux leather cover just like the finest cab upholstery. Cheaper than an ashram and less of a hassle than Freudian analysis, Taxi Driver Wisdom is the shortest possible route to enlightenment. You may never want to take the bus again.

    As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.