41 illustrations.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    Are you winning?Your fight is not with the problems you can see—depression, a broken marriage, addiction, or financial troubles. These are just the symptoms, the true disease—the true battle—is against the devil and his armies. But the devil’s not afraid of mere humans like you and me. So how are we supposed to fight? More importantly, how are we supposed to win?  Warfare is a guide to fighting the battles that matter. In it, you’ll learn:to identify how spiritual warfare is impacting your soul, family, church, and culture.who the armies are and what role they play—God, angels, demons, and the devilhow to use the arsenal of spiritual weapons God provideshow to claim the victory God has already won.When we fight the right battles with the right weapons, fear gives way to courage, futility gives way to purpose, and failure gives way to victory.

    When the boy's eyes were healed they removed the bandages and, waving a hand in front of the child's physically perfect eyes, asked him what he saw. "I don't know," was his only reply. What he saw was only a varying brightness in front of him. However, when allowed to touch the hand as it began to move, he cried out in a voice of triumph, "It's moving!" He could feel it move, but he still needed laboriously to learn to see it move. Light and eyes were not enough to grant him sight. How, then, do we see? What's the difference between seeing and perception? What is light?From ancient times to the present, from philosophers to quantum physicists, nothing has so perplexed, so fascinated, so captivated the mind as the elusive definition of light. In Catching the Light, Arthur Zajonc takes us on an epic journey into history, tracing how humans have endeavored to understand the phenomenon of light. Blending mythology, religion, science, literature, and painting, Zajonc reveals in poetic detail the human struggle to identify the vital connection between the outer light of nature and the inner light of the human spirit. He explains the curiousness of the Greeks' blue and green "color blindness": Odysseus gazing longingly at the "wine-dark sea"; the use of chloros (green) as the color of honey in Homer's Odessey; and Euripides' use of the color green to describe the hue of tears and blood. He demonstrates the complexity of perception through the work of Paul Cézanne--the artist standing on the bank of a river, painting the same scene over and over again, the motifs multiplying before his eyes. And Zajonc goes on to show how our quest for an understanding of light, as well as the conclusions we draw, reveals as much about the nature of our own psyche as it does about the nature of light itself. For the ancient Egyptians the nature of light was clear--it simply was the gaze of God. In the hands of the ancient Greeks, light had become the luminous inner fire whose ethereal effluence brought sight. In our contemporary world of modern quantum physics, science plays the greatest part in our theories of light's origin--from scientific perspectives such as Sir Isaac Newton's "corpuscular theory of light" and Michael Faraday's "lines of force" to such revolutionary ideas as Max Planck's "discrete motion of a pendulum" (the basis of quantum mechanics), Albert Einstein's "particles of light" and "theory of relativity," and Niels Bohr's "quantum jumps." Yet the metaphysical aspects of the scientific search, Zajonc shows, still loom large. For the physicist Richard Feynman, a quantum particle travels all paths, eventually distilling to one path whose action is least--the most beautiful path of all. Whatever light is, here is where we will find it.With rare clarity and unmatched lyricism, Zajonc illuminates the profound implications of the relationships between the multifaceted strands of human experience and scientific endeavor. A fascinating search into our deepest scientific mystery, Catching the Light is a brilliant synthesis

    Here are Einstein, Fleming, Bohr, McClintock, Paul ing, Watson and Crick, Heisenberg and many others. With remarkable insight, Lightman charts the intellectual and emotional landscape of the time, portrays the human drama of discovery, and explains the significance and impact of the work. Finally he includes a fascinating and unique guided tour through the original papers in which the discoveries were revealed. Here is science writing at its best–beautiful, lyrical and completely accessible. It brings the process of discovery to life before our very eyes.

    Physics and Beyond contains Heisenberg’s most sophisticated statements of his philosophy of quantum theory, and is also a watershed inspiration for the contemporary pragmatist philosophy of science that prevails in academia today.

    He was trying to find an equation that explained all physical reality - a theory of everything. He failed, but others have taken up the challenge in a remarkable quest that is shedding light on unsuspected secrets of the cosmos.Experimental physicist and award-winning educator Dr. Don Lincoln of the Fermi National Accelerator Laboratory takes you on this exciting journey in The Theory of Everything: The Quest to Explain All Reality. Suitable for the intellectually curious at all levels and assuming no background beyond basic high-school math, these 24 half-hour lectures cover recent developments at the forefront of particle physics and cosmology, while delving into the history of the centuries-long search for this holy grail of science.You trace the dream of a theory of everything through Newton, Maxwell, Einstein, Bohr, Schrödinger, Feynman, Gell-Mann, Weinberg, and other great physicists, charting their progress toward an all-embracing, unifying theory. Their resulting equations are the masterpieces of physics, which Dr. Lincoln explains in fascinating and accessible detail. Studying them is like touring a museum of great works of art - works that are progressing toward an ultimate, as-yet-unfinished masterpiece.Listening Length: 12 hours and 21 minutes

    Craig has done a great work, and it is marvelous that now the philosophy of religion is engaging with the philosophy of science to the great benefit of both.--John R. LucasFellow of Merton College, Oxford University Time and Eternity offers a comprehensive discussion of the problems in the concepts of time and eternity on the basis of an extraordinary familiarity with a vast number of recent contributions to this issue from scientists and philosophers. The argument is subtle and precise. Particularly important are the sections on the impact of the different versions of relativity theory on the concept of time.... The book offers a plausible argument for a realistic conception of temporal process and for God's involvement in the temporal distinctions and processes because of His presence in His creation.--Wolfhart PannenbergProfessor of Systematic TheologyLudwig Maximilliens Universitaet-Muenchen, Germany As a scientist doing theoretical research in gravitational physics and quantum cosmology, I found Dr. Craig's thoughtful book highly interesting. He has carefully given arguments defending several different viewpoints for each of the many issues about time that he discusses, followed by critiques in which he emphasizes his own opinion. Reading Time and Eternity has forced me to develop better arguments for my own opinions (which differ considerably from Craig's).... I am certain that Time and Eternity will also stimulate your thinking about this fascinating subject and your appreciation for the God who created time as part of the marvelous universe He has given us.--Don N. PageProfessor of Physics and Fellow of the Cosmology and Gravitation Program of the Canadian Institute for Advanced ResearchUniversity of Alberta, Edmonton, Alberta, Canada William Lane Craig is one the leading philosophers of religion and one of the leading philosophers of time. In this book, he combines his expertise in these areas to produce an original, erudite, and accessible theory of time and God that will be of great interest to both the general public and scholars. It is a rewarding experience to read through this brilliant and well-researched book by one of the most learned and creative thinkers of our era.--Quentin SmithProfessor of Philosophy, Western Michigan University In Time and Eternity, William Lane Craig defends the remarkable conclusion that "God is timeless without creation and temporal since creation." Craig argues his case philosophically by carefully weighing evidence for and against divine temporality and personhood in light of dynamic versus static theories of time and their warrants, in turn, in a Lorentzian interpretation of special relativity and an objective, mind-independent theory of becoming, including fascinating excursions into Big Bang cosmology and the philosophy of mathematics. As the latest in his series of ground-breaking books, Time and Eternity summarizes and extends Craig's previous technical arguments and conveys them to a more general audience. It is a must-read for anyone seriously interested in the problem of time and eternity in Christian philosophy.--Robert RussellProfessor of Theology and ScienceGraduate Theological Union, Berkeley, Calif. The nature of time is a continuing source of puzzlement both to science and in everyday life. It is also an important issue in theological understandings of the nature of God. In this interesting book, Professor Craig tackles this complex set of topics in a clear way. His discussion of the interrelated scientific, philosophical, and theological issues clears up many previous misconceptions and proposes a plausible understanding of the relation of God to time and eternity that many will find helpful.--George EllisProfessor of Mathematics and Applied MathematicsUniversity of Capetown

    Lewis Dartnell considers some of the fascinating questions facing researchers today. Could life exist anywhere else in the universe? What might aliens really look like? Dartnell explains why Earth is uniquely suited for life and reveals our profound connection to the cosmos.

    This fascinating parallel biography of Albert Einstein and Pablo Picasso as young men examines their greatest creations -- Picasso's Les Demoiselles d'Avignon and Einstein's special theory of relativity. Miller shows how these breakthroughs arose not only from within their respective fields but from larger currents in the intellectual culture of the times. Ultimately, Miller shows how Einstein and Picasso, in a deep and important sense, were both working on the same problem.

    It it impossible is to resist quoting passages from this novel, given the author’s brilliant insights into character, wonderful literary flourishes and stunning demonstration of what is meant by inspired writing." - Humber School for Writers. A savage, brilliant, hilarious attack on modern hypocrisy, "The God of Atheists" follows the downfall of three men who wake up one morning and decide to take what they have not earned. Al, a down-and-out music producer, bullies his handsome son into forming a boy-band. Alder, an obscure academic, steals a brilliant idea from a grad student. As they exploit the talents of the naïve youths around them, their fame and wealth increase – but they become more and more terrified of exposure and destruction...

    Bardon employs helpful illustrations and keeps technical language to a minimum in bringing the resources of over 2500 years of philosophy and science to bear on some of humanity's most fundamental and enduring questions.

    But what if, nonetheless, Einstein got it wrong?Since the 1930s, physicists have noticed an alarming discrepancy between the universe as we see it and the universe that Einstein's theory of relativity predicts. There just doesn't seem to be enough stuff out there for everything to hang together. Galaxies spin so fast that, based on the amount of visible matter in them, they ought to be flung to pieces, the same way a spinning yo-yo can break its string. Cosmologists tried to solve the problem by positing dark matter—a mysterious, invisible substance that surrounds galaxies, holding the visible matter in place—and particle physicists, attempting to identify the nature of the stuff, have undertaken a slew of experiments to detect it. So far, none have.Now, John W. Moffat, a physicist at the Perimeter Institute for Theoretical Physics in Waterloo, Canada, offers a different solution to the problem. The cap­stone to a storybook career—one that began with a correspondence with Einstein and a conversation with Niels Bohr—Moffat's modified gravity theory, or MOG, can model the movements of the universe without recourse to dark matter, and his work chal­lenging the constancy of the speed of light raises a stark challenge to the usual models of the first half-million years of the universe's existence.This bold new work, presenting the entirety of Moffat's hypothesis to a general readership for the first time, promises to overturn everything we thought we knew about the origins and evolution of the universe.

    From its inception, Margaret Wertheim shows, physics has been an overwhelmingly male-dominated activity; she argues that gender inequity in physics is a result of the religious origins of the enterprise.Pythagoras' Trousers is a highly original history of one of science's most powerful disciplines. It is also a passionate argument for the need to involve both women and men in the process of shaping the technologies from the next generation of physicists.

    This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, -The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory.- Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer.In the paper, -On Computable Numbers, with an Application to the Entscheidungsproblem, - Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.