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.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical experiments, he leads with ease from simple principles to a grasp of the logarithmic spiral, the Golden Proportion, the squaring of the circle and other ubiquitous ratios and proportions.Art and Imagination: These large-format, gloriously-illustrated paperbacks cover Eastern and Western religion and philosophy, including myth and magic, alchemy and astrology. The distinguished authors bring a wealth of knowledge, visionary thinking and accessible writing to each intriguing subject.

    Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century — both in mathematics and in other areas — were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke — because Bourbaki, one of the foremost mathematicians of his day — never existed.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    Quine's areas of interest are panoramic, as this lively book amply demonstrates.Moving from A (alphabet) to Z (zero), Quiddities roams through more than eighty topics, each providing a full measure of piquant thought, wordplay, and wisdom, couched in easy and elegant prose--"Quine at his unbuttoned best," in Donald Davidson's words. Philosophy, language, and mathematics are the subjects most fully represented; tides of entries include belief, communication, free will, idiotisms, longitude and latitude, marks, prizes, Latin pronunciation, tolerance, trinity. Even the more technical entries are larded with homely lore, anecdote, and whimsical humor.Quiddities will be a treat for admirers of Quine and for others who like to think, who care about language, and who enjoy the free play of intellect on topics large and small. For this select audience, it is an ideal book for browsing.

    In The Constants of Nature, Cambridge Professor and bestselling author John D.Barrow takes us on an exploration of these governing principles. Drawing on physicists such as Einstein and Planck, Barrow illustrates with stunning clarity our dependence on the steadfastness of these principles. But he also suggests that the basic forces may have been radically different during the universe’s infancy, and suggests that they may continue a deeply hidden evolution. Perhaps most tantalizingly, Barrow theorizes about the realities that might one day be found in a universe with different parameters than our own.

     But when Wilson takes an intense interest in Oliver's writing and his genre stories of dragons, aliens, and spies, things get weird. Oliver’s stories don’t just need to be finished: they insist on it. With the help of Minerva, Wilson’s girlfriend, Oliver has to find the connection between reality, fiction, the mythical Cydonian Kingdom, and the non-mythical nightclub called M Pallas. That is, if he can survive the alien invasion, the ghosts, and the fact that he thinks he might be in love with Minerva. Unfiction is a wild ride through the collision of science fiction, fantasy, thriller, horror and romance. It's what happens when one writer's fiction interferes with everyone's reality. Unfiction is the latest novel from Gene Doucette, the bestselling author of The Spaceship Next Door.

    But what if we could escape these trappings? With The Possibility Principle, Mel Schwartz emerges as one of the first psychotherapists to distill the basic premises of quantum theory into an empowering and practical system for transcending limitations and opening to infinite possibility. New discoveries in quantum physics are revolutionizing the way we understand our world, but we're often unclear about how this applies to our own experience. Using three core tenets of quantum physics--inseparability, potentiality, and uncertainty--Schwartz demonstrates how each of us can overcome difficulties and live our fullest potential, so long as we are willing to challenge our operating beliefs. Drawing from his vast body of research and dozens of client success stories, Schwartz shows us how to break through communication impasses, create resilient relationships, build authentic self-esteem, overcome anxiety and depression, and catalyze our defining moments so we can live more fearless and expansive lives.

    This work offers accesible coverage of the fundamentals of electrodynamics, enhanced with with discussion points, examples and exercises.

    He encouraged to inquire into the origin of consciousness and the illusory nature of arising phenomena. The primary reason for the book’s effectiveness is that the author enjoys a profound intuition of his teacher's realization."This sequel to I am That and Seeds of Consciousness continues the moving account of a genuine master of Advaita Vedanta."-David Diaman (The Laughing Man)

    Sri Nisargadatta Maharaj (1897-1981) lived and taught in a small apartment in the slums of Bombay. A realized master of the Tantric Nath lineage, he supported himself and his family by selling cheap goods in a small booth on the streets outside his tenement for many years. His life exemplified the concept of absolute nonduality of being. In this volume, Maharaj shares the highest truth of nonduality in his own unique way. His teaching style is abrupt, provocative, and immensely profound, cutting to the core and wasting little effort on inessentials. His terse but potent sayings are known for their ability to trigger shifts in consciousness, just by hearing or reading them."The point is that man freed from his fetters is morality personified. Such a man therefore does not need any moralistic injunctions in order to live righteously. Free a man from his bondage and thereafter everything else will take care of itself. On the other hand, man in his unredeemed state cannot possibly live morally, no matter what moral teaching he is given. It is an intrinsic impossibility, for his very foundation is immorality. That is, he lives a lie, a basic contradiction: functioning in all his relationships as the separate entity he believes himself to be, whereas in reality no such separation exists. His every action therefore does violence to other 'selves' and other 'creatures,' which are only manifestations of the unitary consciousness. So Society had to invent some restraints in order to protect itself from its own worst excesses and thereby maintain some kind of status quo. The resulting arbitrary rules, which vary with place and time and therefore are purely relative, it calls 'morality,' and by upholding this man-invented 'idea' as the highest good–oftentimes sanctioned by religious 'revelation' and scriptures–society has provided man with one more excuse to disregard the quest for liberation or relegate it to a fairly low priority in his scheme of things."

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.