More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics -- the universal language of science -- keep the masterpieces of the subject hidden behind a veil?"The Universe in Zero Words" tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society -- from the elementary (1+1 = 2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E = mc^2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called a "popular-science ace" by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives.(From the jacket copy.)Note: The Princeton University Press version (black cover) is for sale in the English-speaking world outside Australia. The Newsouth Press version (blue cover) is for sale in Australia. The two versions are identical except for the covers.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    Dr. George Smoot, a distinguished cosmologist and adventurer whose quest for cosmic knowledge had taken him from the Brazilian rain forest to the South Pole, unveiled his momentous discovery, bringing to light the very nature of the universe. For anyone who has ever looked up at the night sky and wondered, for anyone who has ever longed to pull aside the fabric of the universe for a glimpse of what lies behind it. Wrinkles in Time is the story of Smoot's search to uncover the cosmic seeds of the universe.Wrinkles in Time is the Double Helix of cosmology, an intimate look at the inner world of men and women who ask. "Why are we here?" It tells the story of George Smoot's dogged pursuit of the cosmic wrinkles in the frozen wastes of Antarctica, on mountaintops, in experiments borne aloft aboard high-altitude balloons, U-2 spy planes, and finally a space satellite. Wrinkles in Time presents the hard science behind the structured violence of the big bang theory through breathtakingly clear, lucid images and meaningful comparisons. Scientists and nonscientists alike can follow with rapt attention the story of how, in a fiery creation, wrinkles formed in space ultimately to become stars, galaxies, and even greater delicate structures. Anyone can appreciate the implications of a universe whose end is written in its beginnings - whose course developed according to a kind of cosmic DNA, which guided the universe from simplicity and symmetry to ever-greater complexity and structure. As controversial as it may seem today, Wrinkles in Time reveals truths that, in an earlier century, would have doomed its proclaimers to the fiery stake. For four thousand years some people have accepted the Genesis account of cosmic origin; for most of this century, scientists debated two rival scientific explanations known as the steady state and big bang theories. And now, Wrinkles in Time tells what really happened. The personal story behind astrophysicist George Smoot's incredible discovery of the origin of the cosmos, hailed by Stephen Hawking as "The scientific discovery of the century, if not of all time."

    Every technology we rely on today was created by the human mind, seeking to understand the universe around us. Scientific knowledge is our most precious possession, and our future will be shaped by the breakthroughs to come. In this personal and fascinating work, Neil Turok, Director of the Perimeter Institute for Theoretical Physics, explores the transformative scientific discoveries of the past three centuries -- from classical mechanics, to the nature of light, to the bizarre world of the quantum, and the evolution of the cosmos. Each new discovery has, over time, yielded new technologies causing paradigm shifts in the organization of society. Now, he argues, we are on the cusp of another major transformation: the coming quantum revolution that will supplant our current, dissatisfying digital age. Facing this brave new world, Turok calls for creatively re-inventing the way advanced knowledge is developed and shared, and opening access to the vast, untapped pools of intellectual talent in the developing world. Scientific research, training, and outreach are vital to our future economy, as well as powerful forces for peaceful global progress.

    From the minds of the world's leading physicists there flowed a river of ideas that would transport mankind to the pinnacle of wonderment and to the very depths of human despair. This was a century that began with the certainties of absolute knowledge and ended with the knowledge of absolute uncertainty. It was a century in which physicists developed weapons with the capacity to destroy our reality, whilst at the same time denying us the possibility that we can ever properly comprehend it.Almost everything we think we know about the nature of our world comes from one theory of physics. This theory was discovered and refined in the first thirty years of the twentieth century and went on to become quite simply the most successful theory of physics ever devised. Its concepts underpin much of the twenty-first century technology that we have learned to take for granted. But its success has come at a price, for it has at the same time completely undermined our ability to make sense of the world at the level of its most fundamental constituents.Rejecting the fundamental elements of uncertainty and chance implied by quantum theory, Albert Einstein once famously declared that 'God does not play dice'. Niels Bohr claimed that anybody who is not shocked by the theory has not understood it. The charismatic American physicist Richard Feynman went further: he claimed that nobody understands it.This is quantum theory, and this book tells its story.Jim Baggott presents a celebration of this wonderful yet wholly disconcerting theory, with a history told in forty episodes -- significant moments of truth or turning points in the theory's development. From its birth in the porcelain furnaces used to study black body radiation in 1900, to the promise of stimulating new quantum phenomena to be revealed by CERN's Large Hadron Collider over a hundred years later, this is the extraordinary story of the quantum world.Oxford Landmark Science books are 'must-read' classics of modern science writing which have crystallized big ideas, and shaped the way we think.

    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.

    I am only passionately curious.I have reached an age when, if someone tells me to wear socks, I don't have to.--Albert EinsteinAlbert Einstein was a prolific--and often thoughtful and gifted--writer, and he is immensely quotable. This collection of approximately 550 quotations by and about Einstein for the first time arranges his thoughts and ideas thematically. Here we can easily find Einstein's thoughts on everything from America and Americans, Germans and Germany, Jews and Zionism, war and peace, politics, religion and science, to more personal subjects, such as abortion, youth and aging, love and marriage, music, and pets. There is something to please everyone--and something to offend everyone. Also included are sections on what Einstein has said about other famous people, what others have said about him, a chronology including biographical data, an updated family tree that includes great-great-grandchildren, answers to the most common questions about Einstein, and a selected bibliography. The book includes an engaging foreword by Princeton physicist Freeman Dyson.To help the reader or researcher, two indexes are provided. The Index of Key Words will help readers find familiar quotations, and the Subject Index will lead them to subjects of particular interest. The book provides documentation, generally of primary sources such as the Einstein Archive and The Collected Papers of Albert Einstein.This book introduces readers to Einstein's many sides: by turns irascible and benign, warmly humorous and coldly dismissive, one who was at first bemused by the fame the world bestowed on him but who came to abhor the glare of publicity. We also see Einstein's development from the earliest quotations of a seventeen-year-old boy to his final words at age seventy-six.-- "The Bloomsbury Review"

    Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow.Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.

    This book discusses Von Neumann's work in areas such as game theory, mathematics, physics, and meteorology which formed the building blocks for the most important discoveries of the century: the modern computer, game theory, and the atom bomb.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Here, for the first time, is the complete history of the quest to understand Earth’s magnetism—from the ancient Greeks’ fascination with lodestone, to the geological discovery that the North Pole has not always been in the North—and to the astonishing modern conclusions that finally revealed the true source.Richly illustrated and skillfully told, North Pole, South Pole unfolds the human story behind the science: that of the inquisitive, persevering, and often dissenting thinkers who unlocked the secrets at our planet’s core.

    Rather, they recruited an elite group of young women who, with only pencil, paper, and mathematical prowess, transformed rocket design, helped bring about the first American satellites, and made the exploration of the solar system possible. For the first time, Rise of the Rocket Girls tells the stories of these women--known as "human computers"--who broke the boundaries of both gender and science. Based on extensive research and interviews with all the living members of the team, Rise of the Rocket Girls offers a unique perspective on the role of women in science: both where we've been, and the far reaches of space to which we're heading.

    It took a year to accumulate enough so that one could actually see it. Now there is so much that we don't know what to do to get rid of it. We have created a monster.The history of plutonium is as strange as the element itself. When scientists began looking for it, they did so simply in the spirit of inquiry, not certain whether there were still spots to fill on the periodic table. But the discovery of fission made it clear that this still-hypothetical element would be more than just a scientific curiosity?it could be a powerful nuclear weapon.As it turned out, it is good for almost nothing else. Plutonium's nuclear potential put it at the heart of the World War II arms race?the Russians found out about it through espionage, the Germans through independent research, and everybody wanted some. Now, nearly everyone has some?the United States alone has about 47 metric tons?but it has almost no uses besides warmongering. How did the product of scientific curiosity become such a dangerous burden?In his new history of this complex and dangerous element, noted physicist Jeremy Bernstein describes the steps that were taken to transform plutonium from a laboratory novelty into the nuclear weapon that destroyed Nagasaki. This is the first book to weave together the many strands of plutonium's story, explaining not only the science but the people involved.