The Art of the Infinite: The Pleasures of Mathematics


Robert M. Kaplan - 1980
    The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math


Alex Bellos - 2010
    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

Aspirin: The Remarkable Story of a Wonder Drug


Diarmuid Jeffreys - 2004
    Diarmuid Jeffreys traces the story of aspirin from the drug's origins in ancient Egypt, through its industrial development at the end of the nineteenth century and its key role in the great flu pandemic of 1918, to its subsequent exploitation by the pharmaceutical conglomerates and the marvelous powers still being discovered today.

Magnetism: A Very Short Introduction (Very Short Introductions, #317)


Stephen J. Blundell - 2012
    Blundell illuminates the mysterious force of magnetism. For centuries, magnetism has been used for various purposes—through compasses it gave us the ability to navigate, and through motors, generators, and turbines, it has given us power. Blundell explores our understanding of electricity and magnetism, from the work of Galvani, Ampère, Faraday, and Tesla, and describes how Maxwell and Faraday's work led to the unification of electricity and magnetism—one of the most imaginative developments in theoretical physics. Finally, he discusses the relationship between magnetism and relativity, quantum magnetism, and its impact on computers and information storage, showing how magnetism has changed our fundamental understanding of the Universe.

The Perfect Machine: Building the Palomar Telescope


Ronald Florence - 1994
    As huge as the Pantheon of Rome and as heavy as the Statue of Liberty, this magnificent instrument is so precisely built that its seventeen-foot mirror was hand-polished to a tolerance of 2/1,000,000 of an inch. The telescope's construction drove some to the brink of madness, made others fearful that mortals might glimpse heaven, and transfixed an entire nation. Ronald Florence weaves into his account of the creation of "the perfect machine" a stirring chronicle of the birth of Big Science and a poignant rendering of an America mired in the depression yet reaching for the stars.

Collider: The Search for the World's Smallest Particles


Paul Halpern - 2009
    But what is the Higgs boson and why is it often referred to as the God Particle? Why are the Higgs and the LHC so important? Getting a handle on the science behind the LHC can be difficult for anyone without an advanced degree in particle physics, but you don't need to go back to school to learn about it. In Collider, award-winning physicist Paul Halpern provides you with the tools you need to understand what the LHC is and what it hopes to discover.Comprehensive, accessible guide to the theory, history, and science behind experimental high-energy physicsExplains why particle physics could well be on the verge of some of its greatest breakthroughs, changing what we think we know about quarks, string theory, dark matter, dark energy, and the fundamentals of modern physicsTells you why the theoretical Higgs boson is often referred to as the God particle and how its discovery could change our understanding of the universeClearly explains why fears that the LHC could create a miniature black hole that could swallow up the Earth amount to a tempest in a very tiny teapot"Best of 2009 Sci-Tech Books (Physics)"-Library Journal"Halpern makes the search for mysterious particles pertinent and exciting by explaining clearly what we don't know about the universe, and offering a hopeful outlook for future research."-Publishers WeeklyIncludes a new author preface, "The Fate of the Large Hadron Collider and the Future of High-Energy Physics"The world will not come to an end any time soon, but we may learn a lot more about it in the blink of an eye. Read Collider and find out what, when, and how.

American Eclipse: A Nation's Epic Race to Catch the Shadow of the Moon and Win the Glory of the World


David Baron - 2017
    One sought to discover a new planet. Another—an adventuresome female astronomer—fought to prove that science was not anathema to femininity. And a young, megalomaniacal inventor, with the tabloid press fast on his heels, sought to test his scientific bona fides and light the world through his revelations. David Baron brings to three-dimensional life these three competitors—James Craig Watson, Maria Mitchell, and Thomas Edison—and thrillingly re-creates the fierce jockeying of nineteenth-century American astronomy. With spellbinding accounts of train robberies and Indian skirmishes, the mythologized age of the last days of the Wild West comes alive as never before. A magnificent portrayal of America’s dawn as a scientific superpower, American Eclipse depicts a young nation that looked to the skies to reveal its towering ambition and expose its latent genius.

Radioactivity: A History of a Mysterious Science


Marjorie C. Malley - 2011
    Beginning with an obscure discovery in 1896, radioactivity led researchers on a quest for understanding that ultimately confronted the intersection of knowledge and mystery. Mysterious from the start, radioactivity attracted researchers who struggled to understand it. What caused certain atoms to give off invisible, penetrating rays? Where did the energy come from? These questions became increasingly pressing when researchers realized the process seemed to continue indefinitely, producing huge quantities of energy. Investigators found cases where radioactivity did change, forcing them to the startling conclusion that radioactive bodies were transmuting into other substances. Chemical elements were not immutable after all. Radioactivity produced traces of matter so minuscule and evanescent that researchers had to devise new techniques and instruments to investigate them. Scientists in many countries, but especially in laboratories in Paris, Manchester, and Vienna unraveled the details of radioactive transformations. They created a new science with specialized techniques, instruments, journals, and international conferences. Women entered the field in unprecedented numbers. Experiments led to revolutionary ideas about the atom and speculations about atomic energy. The excitement spilled over to the public, who expected marvels and miracles from radium, a scarce element discovered solely by its radioactivity. The new phenomenon enkindled the imagination and awakened ancient themes of literature and myth. Entrepreneurs created new industries, and physicians devised novel treatments for cancer. Radioactivity gave archaeologists methods for dating artifacts and meteorologists a new explanation for the air's conductivity. Their explorations revealed a mysterious radiation from space. Radioactivity profoundly changed science, politics, and culture. The field produced numerous Nobel Prize winners, yet radioactivity's talented researchers could not solve the mysteries underlying the new phenomenon. That was left to a new generation and a new way of thinking about reality. Radioactivity presents this fascinating history in a way that is both accessible and appealing to the general reader. Not merely a historical account, the book examines philosophical issues connected with radioactivity, and relates its topics to broader issues regarding the nature of science.

Visions: How Science Will Revolutionize the 21st Century


Michio Kaku - 1997
    We will no longer be passive bystanders to the dance of the universe, but will become creative choreographers of matter, life, and intelligence.The first section of Visions presents a shocking look at a cyber-world infiltrated by millions of tiny intelligence systems. Part two illustrates how the decoding of DNA's genetic structure will allow humans the "godlike ability to manipulate life almost at will." Finally, VISIONS focuses on the future of quantum physics, in which physicists will perfect new ways to manipulate matter and harness the cosmic energy of the universe.What makes Michio Kaku's vision of the science of the future so compelling--and so different from the mere forecasts of most thinkers--is that it is based on the groundbreaking research taking place in labs today, as well as the consensus of over 150 of Kaku's scientific colleagues. Science, for all its breathtaking change, evolves slowly; we can accurately predict, asserts Kaku, what the direction of science will be, based on the paths that are being forged today.A thrilling, unique narrative that brings together the thinking of many of the world's most accomplished scientists to explore the world of the future, Visions is science writing at its best.

Isaac Newton: The Last Sorcerer


Michael White - 1997
    Sympathetic yet balanced, Michael White's Isaac Newton offers a revelatory picture of Newton as a genius who stood at the point in history where magic ended and science began.

Time Travel in Einstein's Universe: The Physical Possibilities of Travel Through Time


J. Richard Gott III - 2001
    Richard Gott leads time travel out of the world of H. G. Wells and into the realm of scientific possibility. Building on theories posited by Einstein and advanced by scientists such as Stephen Hawking and Kip Thorne, Gott explains how time travel can actually occur. He describes, with boundless enthusiasm and humor, how travel to the future is not only possible but has already happened, and he contemplates whether travel to the past is also conceivable. Notable not only for its extraordinary subject matter and scientific brilliance, Time Travel in Einstein’s Universe is a delightful and captivating exploration of the surprising facts behind the science fiction of time travel.

The Physics of Star Wars: The Science Behind a Galaxy Far, Far Away


Patrick Johnson - 2017
    In The Physics of Star Wars, you’ll explore the mystical power of the Force using quantum mechanics, find out how much energy it would take for the Death Star or Starkiller Base to destroy a planet, and discover how we can potentially create our very own lightsabers. The fantastical world of Star Wars may become a reality!

Zero: The Biography of a Dangerous Idea


Charles Seife - 2000
    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

Absolutely Small: How Quantum Theory Explains Our Everyday World


Michael D. Fayer - 2010
    And liberated from its mathematical underpinnings, physics suddenly becomes accessible to anyone with the curiosity and imagination to explore its beauty. Science without math? It's not that unusual. For example, we can understand the concept of gravity without solving a single equation. So for all those who may have pondered what makes blueberries blue and strawberries red; for those who have wondered if sound really travels in waves; and why light behaves so differently from any other phenomenon in the universe, it's all a matter of quantum physics. Absolutely Small presents (and demystifies) the world of quantum science like no book before. It explores scientific concepts--from particles of light, to probability, to states of matter, to what makes greenhouse gases bad--in considerable depth, but using examples from the everyday world. Challenging without being intimidating, accessible but not condescending, Absolutely Small develops the reader's intuition for the very nature of things at their most basic and intriguing levels.

Einstein's Unfinished Symphony: Listening to the Sounds of Space-Time


Marcia Bartusiak - 2000
    Their quest: to be the first to detect gravitational waves, infinitesimal quakes that stretch and compress space-time and could add a brand-new dimension to our universal knowledge-allowing us to hear a sun going supernova, black holes colliding, and perhaps one day, the remnant rumble of the Big Bang itself...