The smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Nuclear weapons and self-replicating spacecrafts. All bear the fingerprints of one remarkable, yet largely overlooked, man: John von Neumann.

Paul Dirac was among the great scientific geniuses of the modern age. One of the discoverers of quantum mechanics, the most revolutionary theory of the past century, his contributions had a unique insight, eloquence, clarity, and mathematical power. His prediction of antimatter was one of the greatest triumphs in the history of physics.

There may never be another era of science like the first half of the twentieth century, when many of the most important physicists ever to live—Marie Curie, Max Planck, Wolfgang Pauli, Niels Bohr, Werner Heisenberg, Ernst Schrödinger, Albert Einstein, and others—came together to uncover the quantum world: a concept so outrageous and shocking, so contrary to traditional physics, that its own founders rebelled against it until the equations held up and fundamentally changed our understanding of reality. Tobias Hürter takes us back to this uniquely momentous and harrowing time.

The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.

Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

From the New York Times best-selling author of Seven Brief Lessons on Physics, The Order of Time, and Helgoland, a closer look at the mind-bending nature of the Universe. What are the elementary ingredients of the world? Do time and space exist? And what exactly is reality? Theoretical physicist Carlo Rovelli has spent his life exploring these questions. He tells us how our understanding of reality has changed over the centuries and how physicists think about the structure of the Universe today.

One of our great contemporary scientists reveals the 10 profound insights that illuminate what everyone should know about the physical world.

Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. 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.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

Here for the first time, in rich human, political, and scientific detail, is the complete story of how the bomb was developed, from the turn-of-the-century discovery of the vast energy locked inside the atom to the dropping of the first bombs on Japan. Few great discoveries have evolved so swiftly - or have been so misunderstood. From the theoretical discussions of nuclear energy to the bright glare of Trinity, there was a span of hardly more than 25 years.

Bill Bryson has been an enormously popular author both for his travel books and for his books on the English language. Now, this beloved comic genius turns his attention to science. Although he doesn't know anything about the subject (at first), he is eager to learn, and takes information that he gets from the world's leading experts and explains it to us in a way that makes it exciting and relevant.

Quantum theory is weird. As Niels Bohr said, if you aren’t shocked by quantum theory, you don’t really understand it. For most people, quantum theory is synonymous with mysterious, impenetrable science. And in fact for many years it was equally baffling for scientists themselves. In this tour de force of science history, Manjit Kumar gives a dramatic and superbly written account of this fundamental scientific revolution.

Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true - yet never provable - continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.

Three of the most important words in science are I don't know. Not knowing implies a universe of opportunities—the possibility of discovery and surprise. Our understanding of science has advanced immeasurably over the last 500 years, yet many fundamental mysteries of existence persist: How did our universe begin? How big is the universe? Is time travel possible? What’s at the center of a black hole? How did life on Earth arise? Are we alone? What is consciousness, and can we create it?

Reporter Sam Kean reveals the periodic table as it’s never been seen before. Not only is it one of man's crowning scientific achievements, it's also a treasure trove of stories of passion, adventure, betrayal, and obsession. The infectious tales and astounding details in The Disappearing Spoon follow carbon, neon, silicon, and gold as they play out their parts in human history, finance, mythology, war, the arts, poison, and the lives of the (frequently) mad scientists who discovered them.

Einstein and the Quantum reveals for the first time the full significance of Albert Einstein's contributions to quantum theory. Einstein famously rejected quantum mechanics, observing that God does not play dice. But, in fact, he thought more about the nature of atoms, molecules, and the emission and absorption of light - the core of what we now know as quantum theory - than he did about relativity.

Werner Heisenberg's "uncertainty principle" challenged centuries of scientific understanding, placed him in direct opposition to Albert Einstein, and put Niels Bohr in the middle of one of the most heated debates in scientific history. Heisenberg's theorem stated that there were physical limits to what we could know about sub-atomic particles; this "uncertainty" would have shocking implications.

Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. 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.

Utterly beautiful. Profoundly disconcerting. Quantum theory is quite simply the most successful account of the physical universe ever devised. Its concepts underpin much of the 21st-century technology that we now take for granted. But at the same time it has completely undermined our ability to make sense of the world at its most fundamental level.

The second half of the 20th century witnessed a scientific gold rush as physicists raced to chart the inner workings of the atom. The stakes were high, the questions were big, and there were Nobel Prizes and everlasting glory to be won. Many mysteries of the atom came unraveled, but one remained intractable-what Frank Close calls the "Infinity Puzzle."

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

In trying to understand the atom, physicists built quantum mechanics, the most successful theory in science and the basis of one-third of our economy. They found, to their embarrassment, that with their theory, physics encounters consciousness. Authors Bruce Rosenblum and Fred Kuttner explain all this in nontechnical terms with help from some fanciful stories and anecdotes about the theory's developers. They present the quantum mystery honestly, emphasizing what is and what is not speculation.

In this illuminating book, the renowned theoretical physicist Lee Smolin argues that fundamental physics - the search for the laws of nature - is losing its way. Ambitious ideas about extra dimensions, exotic particles, multiple universes, and strings have captured the publics imagination -- and the imagination of experts.

Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.

A good book may have the power to change the way we see the world, but a great book actually becomes part of our daily consciousness, pervading our thinking to the point that we take it for granted, and we forget how provocative and challenging its ideas once were - and still are. The Structure of Scientific Revolutions is that kind of book.

The latest developments in physics have the potential to radically revise our understanding of the world: its makeup, its evolution, and the fundamental forces that drive its operation. Knocking on Heaven's Door is an exhilarating and accessible overview of these developments and an impassioned argument for the significance of science. There could be no better guide than Lisa Randall.

In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics.

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.

Far too often, public discussion of science is carried out by journalists, voters, and politicians who have received their science secondhand. The Story of Western Science shows us the joy and importance of reading groundbreaking science writing for ourselves and guides us back to the masterpieces that have changed the way we think about our world, our cosmos, and ourselves.

Einstein’s revolutionary scientific ideas have transformed our world, ushering in the nuclear age. The current pace of scientific and technological progress is simply astounding. So is there any place for faith in such a world? Einstein himself gave careful thought to the deepest questions of life. His towering intellectual status means he is someone worth listening to when we think through the big questions of life.