Mathematics


Keith Devlin - 1988
    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

Chaos: Making a New Science


James Gleick - 1987
    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

The Fabric of Reality: The Science of Parallel Universes--and Its Implications


David Deutsch - 1996
    Taken literally, it implies that there are many universes “parallel” to the one we see around us. This multiplicity of universes, according to Deutsch, turns out to be the key to achieving a new worldview, one which synthesizes the theories of evolution, computation, and knowledge with quantum physics. Considered jointly, these four strands of explanation reveal a unified fabric of reality that is both objective and comprehensible, the subject of this daring, challenging book. The Fabric of Reality explains and connects many topics at the leading edge of current research and thinking, such as quantum computers (which work by effectively collaborating with their counterparts in other universes), the physics of time travel, the comprehensibility of nature and the physical limits of virtual reality, the significance of human life, and the ultimate fate of the universe. Here, for scientist and layperson alike, for philosopher, science-fiction reader, biologist, and computer expert, is a startlingly complete and rational synthesis of disciplines, and a new, optimistic message about existence.

Dragons of Eden: Speculations on the Evolution of Human Intelligence


Carl Sagan - 1977
    Dr Carl Sagan takes us on a great reading adventure, offering his vivid and startling insights into the brains of humans & beasts, the origin of human intelligence, the function of our most haunting legends and their amazing links to recent discoveries.

At the Edge of Uncertainty: 11 Discoveries Taking Science by Surprise


Michael Brooks - 2014
    The Big Bang. DNA. Natural selection. All are ideas that have revolutionized science—and all were dismissed out of hand when they first ap­peared. The surprises haven’t stopped in recent years, and in At the Edge of Uncertainty, bestselling author Michael Brooks investigates the new wave of radical insights that are shaping the future of scientific discovery.   Brooks takes us to the extreme frontiers of what we understand about the world. He journeys from the observations that might rewrite our story of how the cosmos came to be, through the novel biology behind our will to live, and on to the physi­ological root of consciousness. Along the way, he examines how it’s time to redress the gender im­balance in clinical trials, explores how merging hu­mans with other species might provide a solution to the shortage of organ donors, and finds out whether the universe really is like a computer or if the flow of time is a mere illusion.

The Physics Book: From the Big Bang to Quantum Resurrection, 250 Milestones in the History of Physics


Clifford A. Pickover - 2011
    Following the hugely successful The Science Book and The Math Book comes a richly illustrated chronology of physics, containing 250 short, entertaining, and thought-provoking entries. In addition to exploring such engaging topics as dark energy, parallel universes, the Doppler effect, the God particle, and Maxwells demon, the books timeline extends back billions of years to the hypothetical Big Bang and forward trillions of years to a time of “quantum resurrection.” Like the previous titles in this series, The Physics Book helps readers gain an understanding of major concepts without getting bogged down in complex details.

30-Second Theories: The 50 Most Thought-provoking Theories in Science, Each Explained in Half a Minute


Paul ParsonsBill McGuire - 2009
    From Quantum Mechanics to Natural Selection, what we have instead are theories - ideas explain why things happen the way they do. We don't know for certain these are correct - no one ever saw the Big Bang - but with them we can paint beautiful, breathtaking pictures of everything from human behaviour to what the future may hold. Profiling the key scientists behind each theory, "30-Second Theories" presents each entry in a unique, eye-catching full-colour design, with thought-provoking extras and stylish illustrations. It is essential for anyone keen on expanding their mind with science's most thrilling ideas.

The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities


William Dunham - 1994
    . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are. -- NatureIf you want to encourage anyone's interest in math, get them TheMathematical Universe. * New Scientist

Mathematics for the Nonmathematician


Morris Kline - 1967
    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

Reality is Not What it Seems: The Journey to Quantum Gravity


Carlo Rovelli - 2014
    Here he explains how our image of the world has changed throughout centuries. Fom Aristotle to Albert Einstein, Michael Faraday to the Higgs boson, he takes us on a wondrous journey to show us that beyond our ever-changing idea of reality is a whole new world that has yet to be discovered.

Life's Ratchet: How Molecular Machines Extract Order from Chaos


Peter M. Hoffmann - 2012
    But molecules, such as water and sugar, are not alive. So how do our cells--assemblies of otherwise "dead" molecules--come to life, and together constitute a living being? In "Life's Ratchet," physicist Peter M. Hoffmann locates the answer to this age-old question at the nanoscale. The complex molecules of our cells can rightfully be called "molecular machines," or "nanobots"; these machines, unlike any other, work autonomously to create order out of chaos. Tiny electrical motors turn electrical voltage into motion, tiny factories custom-build other molecular machines, and mechanical machines twist, untwist, separate and package strands of DNA. The cell is like a city--an unfathomable, complex collection of molecular worker bees working together to create something greater than themselves. Life, Hoffman argues, emerges from the random motions of atoms filtered through the sophisticated structures of our evolved machinery. We are essentially giant assemblies of interacting nanoscale machines; machines more amazing than can be found in any science fiction novel. Incredibly, the molecular machines in our cells function without a mysterious "life force," nor do they violate any natural laws. Scientists can now prove that life is not supernatural, and that it can be fully understood in the context of science. Part history, part cutting-edge science, part philosophy, "Life's Ratchet" takes us from ancient Greece to the laboratories of modern nanotechnology to tell the story of our quest for the machinery of life.

Endless Universe: Beyond the Big Bang


Paul J. Steinhardt - 2007
    Over the last three decades the theory has been repeatedly revised to address such issues as how galaxies and stars first formed and why the expansion of the universe is speeding up today. Furthermore, an explanation has yet to be found for what caused the Big Bang in the first place.In Endless Universe, Paul J. Steinhardt and Neil Turok, both distinguished theoretical physicists, present a bold new cosmology. Steinhardt and Turok “contend that what we think of as the moment of creation was simply part of an infinite cycle of titanic collisions between our universe and a parallel world” (Discover). They recount the remarkable developments in astronomy, particle physics, and superstring theory that form the basis for their groundbreaking “Cyclic Universe” theory. According to this theory, the Big Bang was not the beginning of time but the bridge to a past filled with endlessly repeating cycles of evolution, each accompanied by the creation of new matter and the formation of new galaxies, stars, and planets.Endless Universe provides answers to longstanding problems with the Big Bang model, while offering a provocative new view of both the past and the future of the cosmos.  It is a “theory that could solve the cosmic mystery” (USA Today).

Schrodinger's Rabbits: The Many Worlds of Quantum


Colin Bruce - 2004
    But recent technological advances have made the question both practical and urgent. A brilliantly imaginative group of physicists at Oxford University have risen to the challenge. This is their story. At long last, there is a sensible way to think about quantum mechanics. The new view abolishes the need to believe in randomness, long-range spooky forces, or conscious observers with mysterious powers to collapse cats into a state of life or death. But the new understanding comes at a price: we must accept that we live in a multiverse wherein countless versions of reality unfold side-by-side. The philosophical and personal consequences of this are awe-inspiring.The new interpretation has allowed imaginative physicists to conceive of wonderful new technologies: measuring devices that effectively share information between worlds and computers that can borrow the power of other worlds to perform calculations. Step by step, the problems initially associated with the original many-worlds formulation have been addressed and answered so that a clear but startling new picture has emerged.Just as Copenhagen was the centre of quantum discussion a lifetime ago, so Oxford has been the epicenter of the modern debate, with such figures as Roger Penrose and Anton Zeilinger fighting for single-world views, and David Deutsch, Lev Vaidman and a host of others for many-worlds.An independent physicist living in Oxford, Bruce has had a ringside seat to the debate. In his capable hands, we understand why the initially fantastic sounding many-worlds view is not only a useful way to look at things, but logically compelling. Parallel worlds are as real as the distant galaxies detected by the Hubble Space Telescope, even though the evidence for their existence may consist only of a few photons.

Atom: Journey Across the Subatomic Cosmos


Isaac Asimov - 1991
    If you've been searching for a basic text on how the atom works, this is it." --Booklist "A masterpiece."--OmniThe legendary Isaac Asimov starts what is perhaps the most fascinating of all his books with a simple query: how finely can a piece of matter be divided? But like many simple questions, this one leads us on a far-flung quest for a final answer, a search that becomes a series of beautifully structured building blocks of knowledge.It begins with the earliest speculations and investigations by the Greeks and Romans, and then, step by step and century by century, it traces the path of discovery that revealed more and more of the nature of the atom, of light, of gravity, of the electromagnetic force--and even the nature and structure of the universe.Atom also encompasses such phenomena as light and electricity; the protons, neutrons and quarks that are the fundamental units of the universe; hard-to-observe "anti-particles"; and other strange bits of matter that challenge our assumptions about the very nature of space and time.Atom is the only book of its kind, by the renowned author whose genius for bringing clarity and excitement to complex subjects has made him the most celebrated science author of our time.

Physics and Philosophy: The Revolution in Modern Science


Werner Heisenberg - 1958
    The theme of Heisenberg's exposition is that words and concepts familiar in daily life can lose their meaning in the world of relativity and quantum physics. This in turn has profound philosophical implications for the nature of reality and for our total world view.