Adventures of a Mathematician


Stanislaw M. Ulam - 1976
    As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Françoise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.

What Is Real?: The Unfinished Quest for the Meaning of Quantum Physics


Adam Becker - 2018
    But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments. As a result, questioning the status quo long meant professional ruin. And yet, from the 1920s to today, physicists like John Bell, David Bohm, and Hugh Everett persisted in seeking the true meaning of quantum mechanics. What Is Real? is the gripping story of this battle of ideas and of the courageous scientists who dared to stand up for truth.

Confessions


Jean-Jacques Rousseau - 1782
    In trying to explain who he was and how he came to be the object of others' admiration and abuse, Rousseau analyses with unique insight the relationship between an elusive but essential inner self and the variety of social identities he was led to adopt. The book vividly illustrates the mixture of moods and motives that underlie the writing of autobiography: defiance and vulnerability, self-exploration and denial, passion, puzzlement, and detachment. Above all, Confessions is Rousseau's search, through every resource of language, to convey what he despairs of putting into words: the personal quality of one's own existence.

In Code: A Mathematical Journey


Sarah Flannery - 2000
    The following day, her story began appearing in Irish papers and soon after was splashed across the front page of the London Times, complete with a photo of Sarah and a caption calling her "brilliant." Just sixteen, she was a mathematician with an international reputation. IN CODE is a heartwarming story that will have readers cheering Sarah on. Originally published in England and cowritten with her mathematician father, David Flannery, IN CODE is "a wonderfully moving story about the thrill of the mathematical chase" (Nature) and "a paean to intellectual adventure" (Times Educational Supplement). A memoir in mathematics, it is all about how a girl next door, nurtured by her family, moved from the simple math puzzles that were the staple of dinnertime conversation to prime numbers, the Sieve of Eratosthenes, Fermat's Little Theorem, googols-and finally into her breathtaking algorithm. Parallel with each step is a modest girl's own self-discovery-her values, her burning curiosity, the joy of persistence, and, above all, her love for her family.

The Millennium Problems


Keith Devlin - 2002
    For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.

Falling Upwards: How We Took to the Air


Richard Holmes - 2013
    Why they did it, what their contemporaries thought of them, and how their flights revealed the secrets of our planet is a compelling adventure that only Holmes could tell. His accounts of the early Anglo-French balloon rivalries, the crazy firework flights of the beautiful Sophie Blanchard, the long-distance voyages of the American entrepreneur John Wise and French photographer Felix Nadar are dramatic and exhilarating. Holmes documents as well the balloons used to observe the horrors of modern battle during the Civil War (including a flight taken by George Armstrong Custer); the legendary tale of at least sixty-seven manned balloons that escaped from Paris (the first successful civilian airlift in history) during the Prussian siege of 1870-71; the high-altitude exploits of James Glaisher (who rose) seven miles above the earth without oxygen, helping to establish the new science of meteorology); and how Mary Shelley, Edgar Allan Poe, and Jules Verne felt the imaginative impact of flight and allowed it to soar in their work. A seamless fusion of history, art, science, biography, and the metaphysics of flights, Falling Upwards explores the interplay between technology and imagination. And through the strange allure of these great balloonists, it offers a masterly portrait of human endeavor, recklessness, and vision.(With 24 pages of color illustrations, and black-and-white illustrations throughout.)

A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science


Michael S. Schneider - 1994
    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

The Universe in Your Hand: A Journey Through Space, Time, and Beyond


Christophe Galfard - 2015
    Frizzle were a physics student of Stephen Hawking, she might have written THE UNIVERSE IN YOUR HAND, a wild tour through the reaches of time and space, from the interior of a proton to the Big Bang to the rough suburbs of a black hole. It's friendly, excitable, erudite, and cosmic."—Jordan Ellenberg, New York Times besteselling author of How Not To Be WrongQuantum physics, black holes, string theory, the Big Bang, dark matter, dark energy, parallel universes: even if we are interested in these fundamental concepts of our world, their language is the language of math. Which means that despite our best intentions of finally grasping, say, Einstein's Theory of General Relativity, most of us are quickly brought up short by a snarl of nasty equations or an incomprehensible graph.Christophe Galfard's mission in life is to spread modern scientific ideas to the general public in entertaining ways. Using his considerable skills as a brilliant theoretical physicist and successful young adult author, The Universe in Your Hand employs the immediacy of simple, direct language to show us, not explain to us, the theories that underpin everything we know about our universe. To understand what happens to a dying star, we are asked to picture ourselves floating in space in front of it. To get acquainted with the quantum world, we are shrunk to the size of an atom and then taken on a journey. Employing everyday similes and metaphors, addressing the reader directly, and writing stories rather than equations renders these astoundingly complex ideas in an immediate and visceral way.Utterly captivating and entirely unique, The Universe in Your Hand will find its place among other classics in the field.

Five Equations That Changed the World


Michael Guillen - 1995
    Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery. Dr. Michael Guillen is Instructor of Physics and Mathematics in the Core Curriculum Program at Harvard University.

Darwin's Ghosts: The Secret History of Evolution


Rebecca Stott - 2012
    . . a book that enriches our understanding of how the struggle to think new thoughts is shared across time and space and people.”—The Sunday Telegraph (London)Christmas, 1859. Just one month after the publication of On the Origin of Species, Charles Darwin received an unsettling letter. He had expected criticism; in fact, letters were arriving daily, most expressing outrage and accusations of heresy. But this letter was different. It accused him of failing to acknowledge his predecessors, of taking credit for a theory that had already been discovered by others. Darwin realized that he had made an error in omitting from Origin of Species any mention of his intellectual forebears. Yet when he tried to trace all of the natural philosophers who had laid the groundwork for his theory, he found that history had already forgotten many of them.Darwin’s Ghosts tells the story of the collective discovery of evolution, from Aristotle, walking the shores of Lesbos with his pupils, to Al-Jahiz, an Arab writer in the first century, from Leonardo da Vinci, searching for fossils in the mine shafts of the Tuscan hills, to Denis Diderot in Paris, exploring the origins of species while under the surveillance of the secret police, and the brilliant naturalists of the Jardin de Plantes, finding evidence for evolutionary change in the natural history collections stolen during the Napoleonic wars. Evolution was not discovered single-handedly, Rebecca Stott argues, contrary to what has become standard lore, but is an idea that emerged over many centuries, advanced by daring individuals across the globe who had the imagination to speculate on nature’s extraordinary ways, and who had the courage to articulate such speculations at a time when to do so was often considered heresy.With each chapter focusing on an early evolutionary thinker, Darwin’s Ghosts is a fascinating account of a diverse group of individuals who, despite the very real dangers of challenging a system in which everything was presumed to have been created perfectly by God, felt compelled to understand where we came from. Ultimately, Stott demonstrates, ideas—including evolution itself—evolve just as animals and plants do, by intermingling, toppling weaker notions, and developing over stretches of time. Darwin’s Ghosts presents a groundbreaking new theory of an idea that has changed our very understanding of who we are.

The Poincaré Conjecture: In Search of the Shape of the Universe


Donal O'Shea - 2007
    He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.In telling the vibrant story of The Poincare Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

The Gene: An Intimate History


Siddhartha Mukherjee - 2016
    It intersects with Darwin’s theory of evolution, and collides with the horrors of Nazi eugenics in the 1940s. The gene transforms post-war biology. It reorganizes our understanding of sexuality, temperament, choice and free will. This is a story driven by human ingenuity and obsessive minds – from Charles Darwin and Gregor Mendel to Francis Crick, James Watson and Rosalind Franklin, and the thousands of scientists still working to understand the code of codes.This is an epic, moving history of a scientific idea coming to life, by the author of The Emperor of All Maladies. But woven through The Gene, like a red line, is also an intimate history – the story of Mukherjee’s own family and its recurring pattern of mental illness, reminding us that genetics is vitally relevant to everyday lives. These concerns reverberate even more urgently today as we learn to “read” and “write” the human genome – unleashing the potential to change the fates and identities of our children.Majestic in its ambition, and unflinching in its honesty, The Gene gives us a definitive account of the fundamental unit of heredity – and a vision of both humanity’s past and future.

A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics


David Stipp - 2017
    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

A Place of My Own: The Education of an Amateur Builder


Michael Pollan - 1997
    Now Pollan turns his sharp insight to the craft of building, as he recounts the process of designing and constructing a small one-room structure on his rural Connecticut property--a place in which he hoped to read, write and daydream, built with his two own unhandy hands.Invoking the titans of architecture, literature and philosophy, from Vitrivius to Thoreau, from the Chinese masters of feng shui to the revolutionary Frank Lloyd Wright, Pollan brilliantly chronicles a realm of blueprints, joints and trusses as he peers into the ephemeral nature of "houseness" itself. From the spark of an idea to the search for a perfect site to the raising of a ridgepole, Pollan revels in the infinitely detailed, complex process of creating a finished structure. At once superbly written, informative and enormously entertaining, A Place of My Own is for anyone who has ever wondered how the walls around us take shape--and how we might shape them ourselves.A Place of My Own recounts his two-and-a-half-year journey of discovery in an absorbing narrative that deftly weaves the day-to-day work of design and building--from siting to blueprint, from the pouring of foundations to finish carpentry--with reflections on everything form the power of place to shape our lives to the question of what constitutes "real work" in a technological society.A book about craft that is itself beautifully crafted, linking the world of the body and material things with the realm of mind, heart, and spirit, A Place of My Own has received extraordinary praise.

Every Tool's a Hammer: Life Is What You Make It


Adam Savage - 2019
    It’s an exploration of making, but it’s also a permission slip of sorts from me to you. Permission to grab hold of the things you’re interested in, that fascinate you, and to dive deeper into them to see where they lead you. Through stories from forty-plus years of making and molding, building and break­ing, along with the lessons I learned along the way, this book is meant to be a toolbox of problem solving, complete with a shop’s worth of notes on the tools, techniques, and materials that I use most often. Things like: In Every Tool There Is a Hammer—don’t wait until everything is perfect to begin a project, and if you don’t have the exact right tool for a task, just use whatever’s handy; Increase Your Loose Tolerance—making is messy and filled with screwups, but that’s okay, as creativity is a path with twists and turns and not a straight line to be found; Use More Cooling Fluid—it prolongs the life of blades and bits, and it prevents tool failure, but beyond that it’s a reminder to slow down and reduce the fric­tion in your work and relationships; Screw Before You Glue—mechanical fasteners allow you to change and modify a project while glue is forever but sometimes you just need the right glue, so I dig into which ones will do the job with the least harm and best effects. This toolbox also includes lessons from many other incredible makers and creators, including: Jamie Hyneman, Nick Offerman, Pixar director Andrew Stanton, Oscar-winner Guillermo del Toro, artist Tom Sachs, and chef Traci Des Jardins. And if everything goes well, we will hopefully save you a few mistakes (and maybe fingers) as well as help you turn your curiosities into creations. I hope this book serves as “creative rocket fuel” (Ed Helms) to build, make, invent, explore, and—most of all—enjoy the thrills of being a creator.