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.

Two of the boldest and most creative scientists of all time were Michael Faraday (1791-1867) and James Clerk Maxwell (1831-1879). This is the story of how these two men - separated in age by 40 years - discovered the existence of the electromagnetic field and devised a radically new theory which overturned the strictly mechanical view of the world that had prevailed since Newton's time.

How does science work? Does it tell us what the world is "really" like? What makes it different from other ways of understanding the universe? In Theory and Reality, Peter Godfrey-Smith addresses these questions by taking the listener on a grand tour of 100 years of debate about science. The result is a completely accessible introduction to the main themes of the philosophy of science.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

In this fascinating history spanning continents and centuries, historian David Wootton offers a lively defense of science, revealing why the Scientific Revolution was truly the greatest event in our history. The Invention of Science goes back 500 years in time to chronicle this crucial transformation, exploring the factors that led to its birth and the people who made it happen. Wootton argues that the Scientific Revolution was actually five separate yet concurrent events that developed independently.

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.

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.

Over two millennia ago, the prescient insights of Anaximander paved the way for cosmology, physics, geography, meteorology, and biology, setting in motion a new way of seeing the world. His legacy includes the revolutionary ideas that the Earth floats in a void, that animals evolved, that the world can be understood in natural rather than supernatural terms, and that universal laws govern all phenomena. In this elegant work, the renowned theoretical physicist Carlo Rovelli brings to light the importance of Anaximander’s overlooked influence on modern science

From the creation of the first encyclopedia to Wikipedia, from ancient museums to modern kindergarten classes—this is Simon Winchester’s brilliant and all-encompassing look at how humans acquire, retain, and pass on information and data, and how technology continues to change our lives and our minds. Throughout this fascinating tour, Winchester forces us to ponder what rational humans are becoming. What good is all this knowledge if it leads to lack of thought? What is information without wisdom?

In the early 17th century, Galileo broke free from the hold of ancient Platonic and Aristotelian philosophy. He drastically changed the framework through which we view the natural world when he asserted that we should base our theory of reality on what we can observe rather than pure thought. In the process, he invented what we would come to call science. This set the stage for all the breakthroughs that followed - from Kepler to Newton to Einstein.

One of the world's most renowned theoretical physicists, Carlo Rovelli has entranced millions of readers with his singular perspective on the cosmos. In Helgoland, he examines the enduring enigma of quantum theory. The quantum world Rovelli describes is as beautiful as it is unnerving. Helgoland is a treeless island in the North Sea where the 23-year-old Werner Heisenberg made the crucial breakthrough for the creation of quantum mechanics, setting off a century of scientific revolution.

For decades, biology has been dominated by the study of genetic information. Information is important, but it is only part of what makes us alive. Our inheritance also includes our living metabolic network, a flame passed from generation to generation, right back to the origin of life. In Transformer, biochemist Nick Lane reveals a scientific renaissance that is hiding in plain sight-how the same simple chemistry gives rise to life and causes our demise.

The New York Times best-selling author of Darwin’s Doubt presents groundbreaking scientific evidence of the existence of God, based on breakthroughs in physics, cosmology, and biology.

For most of us, the story of mammal evolution starts after the asteroid impact that killed the dinosaurs, but over the last 20 years, scientists have uncovered new fossils and used new technologies that have upended this story. In Beasts Before Us, paleontologist Elsa Panciroli charts the emergence of the mammal lineage, Synapsida, beginning at their murky split from the reptiles in the Carboniferous period, over 300 million years ago. They made the world theirs long before the rise of dinosaurs.

An enchanting biography of the most resonant - and most necessary - chemical element on Earth. Carbon. It's in the fibers in your hair, the timbers in your walls, the food that you eat, and the air that you breathe. It's worth billions as a luxury and half a trillion as a necessity, but there are still mysteries yet to be solved about the element that can be both diamond and coal. Where does it come from, what does it do, and why, above all, does life need it?

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.

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.

Militant atheism is on the rise. In recent years, Richard Dawkins, Sam Harris, Daniel Dennett, and Christopher Hitchens have produced a steady stream of best-selling books denigrating religious belief. These authors are merely the leading edge of a larger movement that includes much of the scientific community. In response, mathematician David Berlinski, himself a secular Jew, delivers a biting defense of religious thought.

Columnist and publisher Michael Shermer, once an evangelical Christian and a creationist, argues that Intelligent Design proponents invoke a combination of ad science, political antipathy, and flawed theology in their new brand of creationism. He refutes their pseudoscientific arguments and then demonstrates why conservatives and people of faith can and should embrace evolution. Why Darwin Matters is an incisive examination of what is at stake in the debate over evolution.

Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.

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.

In this fascinating history spanning continents and centuries, historian David Wootton offers a lively defense of science, revealing why the Scientific Revolution was truly the greatest event in our history. The Invention of Science goes back 500 years in time to chronicle this crucial transformation, exploring the factors that led to its birth and the people who made it happen. Wootton argues that the Scientific Revolution was actually five separate yet concurrent events that developed independently.

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.

Already internationally acclaimed for his elegant, lucid writing on the most challenging notions in modern physics, Sean Carroll is emerging as one of the greatest humanist thinkers of his generation as he brings his extraordinary intellect to bear not only on the Higgs boson and extra dimensions but now also on our deepest personal questions. Where are we? Who are we? Are our emotions, our beliefs, and our hopes and dreams ultimately meaningless out there in the void?

Shining a light on the most profound insights revealed by modern physics, Jim Al-Khalili invites us all to understand what this crucially important science tells us about the universe and the nature of reality itself. Al-Khalili begins by introducing the fundamental concepts of space, time, energy, and matter, and then describes the three pillars of modern physics - quantum theory, relativity, and thermodynamics - showing how all three must come together if we are ever to have a full understanding of reality.

When Matthieu Ricard and Trinh Thuan met at an academic conference in the summer of 1997, they began discussing the many remarkable connections between the teachings of Buddhism and the findings of recent science. That conversation grew into an astonishing correspondence exploring a series of fascinating questions. Did the universe have a beginning? Might our perception of time in fact be an illusion, a phenomenon created in our brains that has no ultimate reality? What is consciousness and how did it evolve?

The late great astronomer and astrophysicist describes his personal search to understand the nature of the sacred in the vastness of the cosmos. Exhibiting a breadth of intellect nothing short of astounding, Sagan presents his views on a wide range of topics, including the likelihood of intelligent life on other planets, creationism and so-called intelligent design.

In There Is a God, one of the world's preeminent atheists discloses how his commitment to "follow the argument wherever it leads" led him to a belief in God as Creator. This is a compelling and refreshingly open-minded argument that will forever change the atheism debate.

Over two millennia ago, the prescient insights of Anaximander paved the way for cosmology, physics, geography, meteorology, and biology, setting in motion a new way of seeing the world. His legacy includes the revolutionary ideas that the Earth floats in a void, that animals evolved, that the world can be understood in natural rather than supernatural terms, and that universal laws govern all phenomena. In this elegant work, the renowned theoretical physicist Carlo Rovelli brings to light the importance of Anaximander’s overlooked influence on modern science

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.

In this fascinating history spanning continents and centuries, historian David Wootton offers a lively defense of science, revealing why the Scientific Revolution was truly the greatest event in our history. The Invention of Science goes back 500 years in time to chronicle this crucial transformation, exploring the factors that led to its birth and the people who made it happen. Wootton argues that the Scientific Revolution was actually five separate yet concurrent events that developed independently.

An enchanting biography of the most resonant - and most necessary - chemical element on Earth. Carbon. It's in the fibers in your hair, the timbers in your walls, the food that you eat, and the air that you breathe. It's worth billions as a luxury and half a trillion as a necessity, but there are still mysteries yet to be solved about the element that can be both diamond and coal. Where does it come from, what does it do, and why, above all, does life need it?

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.

An illuminating guide to the scientific and technological achievements of the Middle Ages through the life of a crusading astronomer-monk.

A vibrant account of how measurement has invisibly shaped our world, from ancient civilizations to the modern day.

Most of us give little thought to the back of the book - it's just where you go to look things up. But as Dennis Duncan reveals in this delightful and witty history, hiding in plain sight is an unlikely realm of ambition and obsession, sparring and politicking, pleasure and play. In the pages of the index, we might find "Butchers, to be avoided", or "Cows that shite Fire", or even catch "Calvin in his chamber with a Nonne". Here, for the first time, is the secret world of the index: an unsung but extraordinary everyday tool, with an illustrious but little-known past.

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

When we think of electricity, we likely imagine the energy humming inside our home appliances or lighting up our electronic devices - or perhaps we envision the lightning-streaked clouds of a stormy sky. But electricity is more than an external source of power, heat, or illumination. Life at its essence is nothing if not electrical.

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. 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.

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.