The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    He worked with - and relaxed with - scientific giants of that time such as Edward Teller, Enrico Fermi, Stan Ulam, John von Neumann, and John Wheeler, and here offers illuminating insights into the personalities, the strengths, and the quirks of these men. Well known for his ability to explain physics to nonspecialists, Ford also brings to life the physics of fission and fusion and provides a brief history of nuclear science from the discovery of radioactivity in 1896 to the ten-megaton explosion of “Mike” that obliterated a Pacific Island in 1952. Ford worked at both Los Alamos and Princeton's Project Matterhorn, and brings out Matterhorn's major, but previously unheralded contribution to the development of the H bomb. Outside the lab, he drove a battered Chevrolet around New Mexico, a bantam motorcycle across the country, and a British roadster around New Jersey. Part of the charm of Ford's book is the way in which he leavens his well-researched descriptions of the scientific work with brief tales of his life away from weapons.Contents: The Big Idea The Protagonists The Choice The Scientists, the Officials, and the President Nuclear Energy Some Physics Going West A New World The Classical Super Calculating and Testing Constructing Matterhorn Academia Cowers New Mexico, New York, and New Jersey The Garwin Design Climbing Matterhorn It's More Than a Boy Readership: A memoir for general readership in the history of science.Key Features: It contains real physics, clearly presented for non-specialists Combining historical scholarship and his own recollections, the author offers important insights into the people and the work that led to the first H bomb Personal anecdotes enliven the book

    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    The book begins with relevant scientific fundamentals and progresses through an exploration of the solar system, stars, galaxies, and cosmology. The Astronomy textbook builds student understanding through the use of relevant analogies, clear and non-technical explanations, and rich illustrations. Mathematics is included in a flexible manner to meet the needs of individual instructors.

    of Maryland School of Medicine), offers case histories of the health problems of a dozen long-dead famous figures diagnosed from modern medical perspectives. Illustrations depict patients including the odd-looking Pharaoh Akhenaten, C

    

    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.

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    Now, in this fast-paced, colorful biography, Gale E. Christianson paints anengaging portrait of Newton and the times in which he lived. We follow Newton from his childhood in rural England to his student days at Cambridge, where he devoured the works of Copernicus, Kepler, and Galileo, and taught himself mathematics. There ensued two miraculous years at home in Woolsthorpe Manor, where he fled when plague threatened Cambridge, aremarkably fertile period when Newton formulated his theory of gravity, a new theory of light, and calculus--all by his twenty-fourth birthday. Christianson describes Newton's creation of the first working model of the reflecting telescope, which brought him to the attention of the Royal Society, and he illuminates the eighteen months of intense labor that resulted in his Principia, arguably the most important scientific work ever published. The book sheds light on Newton's later life as master of the mint in London, where he managed to convict and hang the arch criminal William Chaloner (aremarkable turn for a once reclusive scholar), and his presidency of the Royal Society, which he turned from a dilettante's club into an eminent scientific organization. Christianson also explores Newton's less savory side, including his long, bitter feud with Robert Hooke and the underhanded waythat Newton established his priority in the invention of calculus and tarnished Liebniz's reputation. Newton was an authentic genius with all too human faults. This book captures both sides of this truly extraordinary man.

    Using Everett's unpublished papers (recently discovered in his son's basement) and dozens of interviews with his friends, colleagues, and surviving family members, Byrne paints, for the general reader, a detailed portrait of the genius who invented an astonishing way of describing our complex universe from the inside. Everett's mathematical model (called the "universal wave function") treats all possible events as "equally real," and concludes that countless copies of every person and thing exist in all possible configurations spread over an infinity of universes: many worlds. Afflicted by depression and addictions, Everett strove to bring rational order to the professional realms in which he played historically significant roles. In addition to his famous interpretation of quantum mechanics, Everett wrote a classic paper in game theory; created computer algorithms that revolutionized military operations research; and performed pioneering work in artificial intelligence for top secret government projects. He wrote the original software for targeting cities in a nuclear hot war; and he was one of the first scientists to recognize the danger of nuclear winter. As a Cold Warrior, he designed logical systems that modeled "rational" human and machine behaviors, and yet he was largely oblivious to the emotional damage his irrational personal behavior inflicted upon his family, lovers, and business partners. He died young, but left behind a fascinating record of his life, including correspondence with such philosophically inclined physicists as Niels Bohr, Norbert Wiener, and John Wheeler. These remarkable letters illuminate the long and often bitter struggle to explain the paradox of measurement at the heart of quantum physics. In recent years, Everett's solution to this mysterious problem-the existence of a universe of universes-has gained considerable traction in scientific circles, not as science fiction, but as an explanation of physical reality.

    Called by some, "the theory of everything," superstrings may solve a problem that has eluded physicists for the past 50 years, the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. Now, here is a thoroughly revised, second edition of a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentations, including: - Four-dimensional superstrings - Kac-Moody algebras - Teichm�ller spaces and Calabi-Yau manifolds - M-theory Membranes and D-branes - Duality and BPS relations - Matrix models The book begins with a simple discussion of point particle theory, and uses Feynman path integrals to unify the presentation of superstrings. It has been updated throughout, and three new chapters on M-theory have been added. Prerequisites are an acquaintance with quantum mechanics and relativity.

    Come with me--see what I have seen--and try to understand what global warming really means for us and for our children. Leave Washington and travel to the places I have visited..."--From the PrefaceA glacier disappears high in the Peruvian Andes. Floodwaters surge across the English countryside. Ten thousand Pacific Islanders begin to evacuate their homeland. A dust storm turns day into night across the Inner Mongolian plains. These events may seem unrelated, but they are not. Even as scientists and other experts debate the specifics, climate crisis is already affecting the lives of millions.In this ground-breaking book, Mark Lynas reveals the first evidence--collected during an epic three-year journey across five continents--about how global warming is hitting people's lives all around the world. From American hurricane chasers to Mongolian herders, from Alaskan Eskimos to South Sea islanders, Lynas's encounters and discoveries give us a stark warning about the even worse dangers that lie ahead if nothing is done.High Tide's message is urgent and its revelations are at once shocking and inspiring--shocking as so few of us yet realize the magnitude of what's happening, and inspiring as there is still time to avert much greater catastrophe. No one who reads this book will be able to look their children in the eyes and say "I didn't know."As global temperatures soar to record levels, Lynas bears witness to:- CRIPPLING DROUGHT: China's Yellow River no longer reaches the sea for half the year, and villages across the north of the country are disappearing under advancing sand dunes- BAKED ALASKA: Permafrost is melting, leaving houses, roads and whole forests sucked into the thawing ground. Winter is in retreat, leaving animals confused and Native Alaskan people without a livelihood- DISAPPEARING GLACIERS: Every glaciated mountain range on Earth is experiencing massive ice losses. Montana's Glacier National Park has lost 100 glaciers in the last century; only 50 remain. Water supplies to hundreds of millions of people--from Peru to Pakistan--are threatened- HIGH TIDES: Islanders on the tiny South Pacific nation of Tuvalu are already leaving their homeland as rising sea levels engulf their atolls. Today 70 percent of the world's sandy shorelines are retreating; up to 90 percent of the beaches on the Eastern U.S. seaboard are eroding fast- CATASTROPHIC FLOODS: English villagers now talk about a "wet season" rather than a winter. Heavier rainfall is now falling across the global mid-latitudes, from the continental U.S. to Russia, sparking devastating floods on an ever more frequent basis.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    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.”