Algebra


Aurelio Baldor - 1983
    This revised edition includes a CD-Rom with exercises that will help the student have a better understanding of equations, formulas, etc.

Q is for Quantum


Terry Rudolph - 2017
    ENTANGLEMENT. REALITY. Books containing these three words are typically fluff or incomprehensible; this one is not. "Q is for Quantum" teaches a theory at the forefront of modern physics to an audience presumed to already know only basic arithmetic. Topics covered range from the practical (new technologies we can expect soon) to the foundational (old ideas that attempt to make sense of the theory). The theory is built up precisely and quantitatively. Deceptively vague jargon and analogies are avoided, and mysterious features of the theory are made explicit and not skirted. The tenacious reader will emerge with a better technical understanding of why we are troubled by this theory than that possessed by many professional physicists.

King Solomon's Ring


Konrad Lorenz - 1949
    Konrad Lorenz was gifted with a similar power of understanding the animal world. He was that rare beast, a brilliant scientist who could write (and indeed draw) beautifully. He did more than any other person to establish and popularize the study of how animals behave, receiving a Nobel Prize for his work. King Solomon's Ring, the book which brought him worldwide recognition, is a delightful treasury of observations and insights into the lives of all sorts of creatures, from jackdaws and water-shrews to dogs, cats and even wolves. Charmingly illustrated by Lorenz himself, this book is a wonderfully written introduction to the world of our furred and feathered friends, a world which often provides an uncanny resemblance to our own. A must for any animal-lover!

Quantum Computing Since Democritus


Scott Aaronson - 2013
    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

Ubiquity: Why Catastrophes Happen


Mark Buchanan - 2000
    Now scientists have discovered that these seemingly unrelated cataclysms, both natural and human, almost certainly all happen for one fundamental reason. More than that, there is not and never will be any way to predict them. Critically acclaimed science journalist Mark Buchanan tells the fascinating story of the discovery that there is a natural structure of instability woven into the fabric of our world. From humble beginnings studying the physics of sandpiles, scientists have learned that an astonishing range of things–Earth’s crust, cars on a highway, the market for stocks, and the tightly woven networks of human society–have a natural tendency to organize themselves into what’s called the “critical state,” in which they are poised on what Buchanan describes as the “knife-edge of instability.” The more places scientists have looked for the critical state, the more places they’ve found it, and some believe that the pervasiveness of instability must now be seen as a fundamental feature of our world. Ubiquity is packed with stories of real-life catastrophes, such as the huge earthquake that in 1995 hit Kobe, Japan, killing 5,000 people; the forest fires that ravaged Yellowstone National Park in 1988; the stock market crash of 1987; the mass extinction that killed off the dinosaurs; and the outbreak of World War I. Combining literary flair with scientific rigor, Buchanan introduces the researchers who have pieced together the evidence of the critical state, explaining their ingenious work and unexpected insights in beautifully lucid prose. At the dawn of this new century, Buchanan reveals, we are witnessing the emergence of an extraordinarily powerful new field of science that will help us comprehend the bewildering and unruly rhythms that dominate our lives and may even lead to a true science of the dynamics of human culture and history. From the Hardcover edition.

Introducing Fractals: A Graphic Guide


Nigel Lesmoir-Gordon - 1996
    It's about the broken, wrinkled, wiggly world - the uneven shapes of nature, unlike the idealized forms of Euclidean geometry. We see fractals everywhere; indeed we are fractal! Fractal Geometry is an extension of classical geometry. Using computers, it can make precise models of physical structures - from ferns to galaxies. Fractal geometry is a new language. Once you speak it, you can describe the shape of cloud as precisely as an architect can describe a house.

The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory


Brian Greene - 1999
    Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matter—from the smallest quarks to the most gargantuan supernovas—is generated by the vibrations of microscopically tiny loops of energy.Today physicists and mathematicians throughout the world are feverishly working on one of the most ambitious theories ever proposed: superstring theory. String theory, as it is often called, is the key to the Unified Field Theory that eluded Einstein for more than thirty years. Finally, the century-old antagonism between the large and the small-General Relativity and Quantum Theory-is resolved. String theory proclaims that all of the wondrous happenings in the universe, from the frantic dancing of subatomic quarks to the majestic swirling of heavenly galaxies, are reflections of one grand physical principle and manifestations of one single entity: microscopically tiny vibrating loops of energy, a billionth of a billionth the size of an atom. In this brilliantly articulated and refreshingly clear book, Greene relates the scientific story and the human struggle behind twentieth-century physics' search for a theory of everything.Through the masterful use of metaphor and analogy, The Elegant Universe makes some of the most sophisticated concepts ever contemplated viscerally accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

The Existential Pleasures of Engineering


Samuel C. Florman - 1976
    In the process, they have remade the fabric of the world into newly functional objects that are also works of art to be admired. In this second edition of his popular Existential Pleasures of Engineering, Samuel Florman explores how engineers think and feel about their profession.A deeply insightful and refreshingly unique text, this book corrects the myth that engineering is cold and passionless. Indeed, Florman celebrates engineering not only crucial and fundamental but also vital and alive; he views it as a response to some of our deepest impulses, an endeavor rich in spiritual and sensual rewards. Opposing the "anti-technology" stance, Florman gives readers a practical, creative, and even amusing philosophy of engineering that boasts of pride in his craft.

Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions


Lisa Randall - 2005
    It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now.Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razor's edge of modern scientific theory. One of the world's leading theoretical physicists, Lisa Randall provides astonishing scientific possibilities that, until recently, were restricted to the realm of science fiction. Unraveling the twisted threads of the most current debates on relativity, quantum mechanics, and gravity, she explores some of the most fundamental questions posed by Nature—taking us into the warped, hidden dimensions underpinning the universe we live in, demystifying the science of the myriad worlds that may exist just beyond our own.

A Mathematician's Apology


G.H. Hardy - 1940
    H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

The Physics of Star Trek


Lawrence M. Krauss - 1995
    Now Lawrence M. Krauss, an internationally known theoretical physicist and educator, has written the quintessential physics book for Trekkers and non-Trekkers alike.Anyone who has ever wondered, "Could this really happen?" will gain useful insights into the "Star Trek" universe (and, incidentally, the real universe) in this charming and accessible volume. Krauss boldly goes where "Star Trek" has gone -- and beyond. He uses the "Star Trek" future as a launching pad to discuss the forefront of modern physics. From Newton to Hawking, from Einstein to Feynman, from Kirk to Janeway, Krauss leads the reader on a voyage to the world of physics as we now know it and as it might one day be.Featuring the Top 10 biggest physics bloopers in "Star Trek," as selected by Nobel Prize-winning physicists and other dedicated Trekkers!"This book is fun, and Mr. Krauss has a nice touch with a tough subject...Readers drawn by frivolity will be treated to substance." "--New York Times Book Review""Today's science fiction is often tomorrow's science fact. The physics that underlies "Star Trek" is surely worth investigating. To confine our attention to terrestrial matters would be to limit the human spirit."--Stephen Hawking (in the foreword)A

Lost in Math: How Beauty Leads Physics Astray


Sabine Hossenfelder - 2018
    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

The Naked Ape


Desmond Morris - 1967
    Here is the Naked Ape at his most primal in love, at work, at war. Meet man as he really is: relative to the apes, stripped of his veneer as we see him courting, making love, sleeping, socializing, grooming, playing. The Naked Ape takes its place alongside Darwin’s Origin of the Species, presenting man not as a fallen angel, but as a risen ape, remarkable in his resilience, energy and imagination, yet an animal nonetheless, in danger of forgetting his origins. With its penetrating insights on man's beginnings, sex life, habits and our astonishing bonds to the animal kingdom, The Naked Ape is a landmark, at once provocative, compelling and timeless.

Probably Approximately Correct: Nature's Algorithms for Learning and Prospering in a Complex World


Leslie Valiant - 2013
    We nevertheless muddle through even in the absence of theories of how to act. But how do we do it?In Probably Approximately Correct, computer scientist Leslie Valiant presents a masterful synthesis of learning and evolution to show how both individually and collectively we not only survive, but prosper in a world as complex as our own. The key is “probably approximately correct” algorithms, a concept Valiant developed to explain how effective behavior can be learned. The model shows that pragmatically coping with a problem can provide a satisfactory solution in the absence of any theory of the problem. After all, finding a mate does not require a theory of mating. Valiant’s theory reveals the shared computational nature of evolution and learning, and sheds light on perennial questions such as nature versus nurture and the limits of artificial intelligence.Offering a powerful and elegant model that encompasses life’s complexity, Probably Approximately Correct has profound implications for how we think about behavior, cognition, biological evolution, and the possibilities and limits of human and machine intelligence.

What Is Life? with Mind and Matter and Autobiographical Sketches


Erwin Schrödinger - 1944
    The book was based on a course of public lectures delivered by Schrödinger in February 1943 at Trinity College, Dublin. Schrödinger's lecture focused on one important question: "how can the events in space and time which take place within the spatial boundary of a living organism be accounted for by physics and chemistry?" In the book, Schrödinger introduced the idea of an "aperiodic crystal" that contained genetic information in its configuration of covalent chemical bonds. In the 1950s, this idea stimulated enthusiasm for discovering the genetic molecule and would give both Francis Crick and James Watson initial inspiration in their research.