. . 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

    According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

    In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

    Moreover, the achievements of the early people of Africa are as amazing and inspiring as the achievements of any other people.This history is much older than the Trans-Atlantic Slave Trade.The author introduces his readers to the early civilizations of Africa that existed long before the coming of the Europeans. Among these were the Songhai Empire, the Benin Empire, the Kanem-Borno Empire, the Monomotapa Empire, the Swahili Confederation, the Medieval Nubian kingdoms and the Axumite Empire.The author also introduces the ancient civilizations of Africa particularly those of the Nile Valley such as Nubia and Ancient Egypt.The book is illustrated with 18 images and maps. Finally, the book recommends other books for more in depth study.

    Whether you were the king's court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you'd risk being caught short of food for the winter. Shesso's friendly tone and clear grasp of the information make the math "go down easy" in this marvelous book.BONUS: This book has over 100 illustrations! Click on the Google Preview link to get a glimpse.Excerpt from Math for Mystics: “It’s our collective malaise: Post-Traumatic Math Disorder.“Yet despite how we personally feel about mathematics, our distant ancestors willingly used numbers as pathways into the great patterns of Nature, avenues to understanding the Universe and their own place in it. Many ancient cultures had specific gods and goddesses they credited with inventing mathematical skills. With the aid of divine inspiration and assistance, humans nourished this numerical invention, continually pushing their skills and seeking greater clarity of expression. “Our starting point may seem like a Zero. But for now, before looking at numbers and math, let’s simply see it as a circle. No matter what our spiritual practice, we each live within the circle of creation, each within the circle—the cohesiveness—of our own form...” From John Michael Greer, Grand Archdruid, Ancient Order of Druids in America and author of The Druidry Handbook:“As thoughtful as it is readable, Renna Shesso’s Math for Mystics is the book I wish I had when I first started trying to make sense of the mathematics that underlie so much of modern magic and traditional occult lore. Not the least of its virtues is the way it makes magical number theory accessible even to those who think they don’t like or can’t handle math. It provides a first-rate introduction to a fairly neglected branch of magical lore.”

    

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    . . . Almost every page could make you say, I didn’t know that!"Tampa Tribune"Gannon’s love for Florida comes through in a marvelous narrative style [that] doesn’t bog down in dates and reams of facts that historians find interesting, but others don’t."--Miami Herald"First rate . . . desperately needed . . . entertaining . . . fun!"--Orlando Sentinel"Gannon is a lifelong student of the history of his state, an acclaimed teacher, a masterful and tireless raconteur, and a superb stylist. Florida: A Short History showcases each of these strengths and talents and contains the latest archaeological and historical scholarship."--Florida Historical QuarterlyAs if Ponce de León, who happened on the peninsula in 1513, returned today to demand a quick reckoning (“Tell me what happened after I was there, but leave out the boring parts!”), Michael Gannon recounts the longest recorded history of any state in the nation in twenty-seven brisk, fully illustrated chapters.From indigenous tribes who lived along spring-fed streams to environmentalists who labor to "Save Our Rivers," from the first conquistadors whose broad black ships astonished the natives to the 123,000 refugees whose unexpected immigration stunned South Floridians in 1980, the story of the state is as rich and distinctive as the story of America.And it’s older than most people think. As Gannon writes, “By the time the Pilgrims came ashore at Plymouth, St. Augustine was up for urban renewal. It was a town with fort, church, seminary, six-bed hospital, fish market, and about 120 shops and houses. Because La Florida stretched north from the Keys to Newfoundland and west to Texas, St. Augustine could claim to be the capital of much of what is now the United States.”Gannon tells his fast-marching saga in chronological fashion. Starting with the wilderness of the ancient earth, he fills the landscape with Indians, colonists, pioneers, entrepreneurs, politicians, and the panorama of Florida today--“the broad superhighways that wind past horse farms, retirement communities, international airports, launch pads, futuristic attractions, and come to rest, finally, amidst the gleaming towers of Oz?like cities.” This revised edition concludes with a look into the twenty-first century, including “in-migration,” restoration of the Everglades, education, the work force, and the infamous 2000 presidential election.Michael Gannon is distinguished service professor emeritus of history at the University of Florida. Among other honors, he has received the first Arthur W. Thompson Prize from the Florida Historical Society and the decoration Knight Commander of the Order of Isabel la Católica from King Juan Carlos I of Spain. He is the author of the best-selling Operation Drumbeat and editor of The New History of Florida.

    He proposes his solution.

     Beginning with her solitary childhood in London, it took years for Melanie Phillips to understand her parents’ emotional frailties and even longer to escape from them. But Phillips inherited her family’s strong Jewish values and a passionate commitment to freedom from oppression. It was this moral foundation that ultimately turned her against the warped and tyrannical attitudes of the Left, requiring her to break away not only from her parents—but also from the people she had seen as her wider political family. Through her poignant story of transformation and separation, we gain insight into the political uproar that has engulfed the West. Britain’s vote to leave the EU, the rise of far-Right political parties in Europe, and the stunning election of US president Donald Trump all involve a revolt against the elites by millions. It is these disdained masses who have been championed by Melanie Phillips in a career as prescient as it has been provocative. Guardian Angel is not only an affecting personal story, but it provides a vital explanation why the West is at a critical crossroads today. “Melanie Phillips has been one of the brave and necessary voices of our time, unafraid to speak the language of moral responsibility in an age of obfuscation and denial. This searing account of her personal journey is compelling testimony to her courage in speaking truth to power.”—Rabbi Lord Jonathan Sacks

    We are introduced to the known particles of the world we live in. An elegant explanation of quantum mechanics and relativity paves the way for an understanding of the laws that govern particle physics. These laws are put into action in the world of accelerators, colliders and detectors found at institutions such as CERN and Fermilab that are in the forefront of technical innovation. Real world and theory meet using Feynman diagrams to solve the problems of infinities and deduce the need for the Higgs boson.Facts and Mysteries in Elementary Particle Physics offers an incredible insight from an eyewitness and participant in some of the greatest discoveries in 20th century science. From Einstein's theory of relativity to the elusive Higgs particle, this book will fascinate and educate anyone interested in the world of quarks, leptons and gauge theories.This book also contains many thumbnail sketches of particle physics personalities, including contemporaries as seen through the eyes of the author. Illustrated with pictures, these candid sketches present rare, perceptive views of the characters that populate the field.The Chapter on Particle Theory, in a pre-publication, was termed “superbly lucid” by David Miller in Nature (Vol. 396, 17 Dec. 1998, p. 642).

    The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement"Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    The book explores reunions with departed souls, the discovery of soul mates, as well as our purpose in the universe.

    This book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science.