On Human Nature


Edward O. Wilson - 1978
    Wilson's book. On Human Nature begins a new phase in the most important intellectual controversy of this generation: Is human behavior controlled by the species' biological heritage? Does this heritage limit human destiny?With characteristic pugency and simplicity of style, the author of Sociobiology challenges old prejudices and current misconceptions about the nature-nurture debate. In his new preface E. O. Wilson reflects on how he came to write this book: how The Insect Societies led him to write Sociobiology, and how the political and religious uproar that engulfed that book persuaded him to write another book that would better explain the relevance of biology to the understanding of human behavior.

Number: The Language of Science


Tobias Dantzig - 1930
    Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

How the Universe Got Its Spots: Diary of a Finite Time in a Finite Space


Janna Levin - 2002
    For even as she sets out to determine how big “really big” may be, Levin gives us an intimate look at the day-to-day life of a globe-trotting physicist, complete with jet lag and romantic disturbances.Nimbly synthesizing geometry, topology, chaos and string theories, Levin shows how the pattern of hot and cold spots left over from the big bang may one day reveal the size and shape of the cosmos. She does so with such originality, lucidity—and even poetry—that How the Universe Got Its Spots becomes a thrilling and deeply personal communication between a scientist and the lay reader.

A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form


Paul Lockhart - 2009
    Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever.Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

The Nothing That Is: A Natural History of Zero


Robert M. Kaplan - 1999
    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

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.

e: the Story of a Number


Eli Maor - 1993
    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

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.

The Number Sense: How the Mind Creates Mathematics


Stanislas Dehaene - 1996
    Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind.

Tractatus Logico-Philosophicus


Ludwig Wittgenstein - 1921
    Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, logic was something we use to conquer a reality which is in itself both elusive and unobtainable. He famously summarized the book in the following words: 'What can be said at all can be said clearly; and what we cannot talk about we must pass over in silence.' David Pears and Brian McGuinness received the highest praise for their meticulous translation. The work is prefaced by Bertrand Russell's original introduction to the first English edition.

The Book of Nothing: Vacuums, Voids, and the Latest Ideas about the Origins of the Universe


John D. Barrow - 2000
    Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow.Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.

The Age of Empathy: Nature's Lessons for a Kinder Society


Frans de Waal - 2009
    By studying social behaviors in animals, such as bonding, the herd instinct, the forming of trusting alliances, expressions of consolation, and conflict resolution, Frans de Waal demonstrates that animals–and humans–are "preprogrammed to reach out." He has found that chimpanzees care for mates that are wounded by leopards, elephants offer "reassuring rumbles" to youngsters in distress, and dolphins support sick companions near the water's surface to prevent them from drowning. From day one humans have innate sensitivities to faces, bodies, and voices; we've been designed to feel for one another.De Waal's theory runs counter to the assumption that humans are inherently selfish, which can be seen in the fields of politics, law, and finance, and which seems to be evidenced by the current greed-driven stock market collapse. But he cites the public's outrage at the U.S. government's lack of empathy in the wake of Hurricane Katrina as a significant shift in perspective–one that helped Barack Obama become elected and ushered in what may well become an Age of Empathy. Through a better understanding of empathy's survival value in evolution, de Waal suggests, we can work together toward a more just society based on a more generous and accurate view of human nature.Written in layman's prose with a wealth of anecdotes, wry humor, and incisive intelligence, The Age of Empathy is essential reading for our embattled times.

Lewis Carroll in Numberland: His Fantastical Mathematical Logical Life


Robin J. Wilson - 2008
    Fascinated by the inner life of Charles Lutwidge Dodson, Robin Wilson, a Carroll scholar and a noted mathematics professor, has produced this revelatory book—filled with more than one hundred striking and often playful illustrations—that examines the many inspirations and sources for Carroll's fantastical writings, mathematical and otherwise. As Wilson demonstrates, Carroll—who published serious, if occasionally eccentric, works in the fields of geometry, logic, and algebra—made significant contributions to subjects as varied as voting patterns and the design of tennis tournaments, in the process creating imaginative recreational puzzles based on mathematical ideas. In the tradition of Sylvia Nasar's A Beautiful Mind and Andrew Hodges's Alan Turing, this is an engaging look at the incredible genius of one of mathematics' and literature's most enigmatic minds.

What the Dog Saw and Other Adventures


Malcolm Gladwell - 2009
    Now, in What the Dog Saw, he brings together, for the first time, the best of his writing from The New Yorker over the same period. Here you'll find the bittersweet tale of the inventor of the birth control pill, and the dazzling creations of pasta sauce pioneer Howard Moscowitz. Gladwell sits with Ron Popeil, the king of the American kitchen, as he sells rotisserie ovens, and divines the secrets of Cesar Millan, the "dog whisperer" who can calm savage animals with the touch of his hand. He explores intelligence tests and ethnic profiling and why it was that employers in Silicon Valley once tripped over themselves to hire the same college graduate.

The Technological Society


Jacques Ellul - 1954
    No conversation about the dangers of technology and its unavoidable effects on society can begin without a careful reading of this book."A magnificent book . . . He goes through one human activity after another and shows how it has been technicized, rendered efficient, and diminished in the process."-Harper's"One of the most important books of the second half of the twentieth-century. In it, Jacques Ellul convincingly demonstrates that technology, which we continue to conceptualize as the servant of man, will overthrow everything that prevents the internal logic of its development, including humanity itself-unless we take necessary steps to move human society out of the environment that 'technique' is creating to meet its own needs."-The Nation"A description of the way in which technology has become completely autonomous and is in the process of taking over the traditional values of every society without exception, subverting and suppressing these values to produce at last a monolithic world culture in which all non-technological difference and variety are mere appearance."-Los Angeles Free Press