How to Solve It: A New Aspect of Mathematical Method


George Pólya - 1944
    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

God Created the Integers: The Mathematical Breakthroughs That Changed History


Stephen Hawking - 2005
    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

The Information: A History, a Theory, a Flood


James Gleick - 2011
    The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born. From the invention of scripts and alphabets to the long-misunderstood talking drums of Africa, Gleick tells the story of information technologies that changed the very nature of human consciousness. He provides portraits of the key figures contributing to the inexorable development of our modern understanding of information: Charles Babbage, the idiosyncratic inventor of the first great mechanical computer; Ada Byron, the brilliant and doomed daughter of the poet, who became the first true programmer; pivotal figures like Samuel Morse and Alan Turing; and Claude Shannon, the creator of information theory itself. And then the information age arrives. Citizens of this world become experts willy-nilly: aficionados of bits and bytes. And we sometimes feel we are drowning, swept by a deluge of signs and signals, news and images, blogs and tweets. The Information is the story of how we got here and where we are heading.

How to Create a Mind: The Secret of Human Thought Revealed


Ray Kurzweil - 2012
    In How to Create a Mind, Kurzweil presents a provocative exploration of the most important project in human-machine civilization—reverse engineering the brain to understand precisely how it works and using that knowledge to create even more intelligent machines.Kurzweil discusses how the brain functions, how the mind emerges from the brain, and the implications of vastly increasing the powers of our intelligence in addressing the world’s problems. He thoughtfully examines emotional and moral intelligence and the origins of consciousness and envisions the radical possibilities of our merging with the intelligent technology we are creating.Certain to be one of the most widely discussed and debated science books of the year, How to Create a Mind is sure to take its place alongside Kurzweil’s previous classics which include Fantastic Voyage: Live Long Enough to Live Forever and The Age of Spiritual Machines.

A Hunter-Gatherer's Guide to the 21st Century: Evolution and the Challenges of Modern Life


Heather E. Heying - 2021
    They distill more than 20 years of research and first-hand accounts from the most biodiverse ecosystems on Earth into straightforward principles and guidance for confronting our culture of hyper-novelty.For evolutionary biologists Heather Heying and Bret Weinstein, the cause of our woes is clear: the modern world is out of sync with our ancient brains and bodies. We evolved to live in clans, but today most people don't even know their neighbors' names. Differences between the sexes once served a necessary evolutionary purpose, but today many dismiss the concept of biological sex as offensive. The cognitive dissonance spawned by trying to live in a society we're not built for is killing us.

The Big Picture: On the Origins of Life, Meaning, and the Universe Itself


Sean Carroll - 2016
     Where are we? Who are we? Are our emotions, our beliefs, and our hopes and dreams ultimately meaningless out there in the void? Does human purpose and meaning fit into a scientific worldview?In short chapters filled with intriguing historical anecdotes, personal asides, and rigorous exposition, readers learn the difference between how the world works at the quantum level, the cosmic level, and the human level--and then how each connects to the other.  Carroll's presentation of the principles that have guided the scientific revolution from Darwin and Einstein to the origins of life, consciousness, and the universe is dazzlingly unique.Carroll shows how an avalanche of discoveries in the past few hundred years has changed our world and what really matters to us. Our lives are dwarfed like never before by the immensity of space and time, but they are redeemed by our capacity to comprehend it and give it meaning.The Big Picture is an unprecedented scientific worldview, a tour de force that will sit on shelves alongside the works of Stephen Hawking, Carl Sagan, Daniel Dennett, and E. O. Wilson for years to come.

Metazoa: Animal Life and the Birth of the Mind


Peter Godfrey-Smith - 2020
    Yet these creatures are our cousins. As fellow members of the animal kingdom—the Metazoa—they can teach us much about the evolutionary origins of not only our bodies, but also our minds.In his acclaimed 2016 book, Other Minds, the philosopher and scuba diver Peter Godfrey-Smith explored the mind of the octopus—the closest thing to an intelligent alien on Earth. In Metazoa, Godfrey-Smith expands his inquiry to animals at large, investigating the evolution of subjective experience with the assistance of far-flung species. As he delves into what it feels like to perceive and interact with the world as other life-forms do, Godfrey-Smith shows that the appearance of the animal body well over half a billion years ago was a profound innovation that set life upon a new path. In accessible, riveting prose, he charts the ways that subsequent evolutionary developments—eyes that track, for example, and bodies that move through and manipulate the environment—shaped the subjective lives of animals. Following the evolutionary paths of a glass sponge, soft coral, banded shrimp, octopus, and fish, then moving onto land and the world of insects, birds, and primates like ourselves, Metazoa gathers their stories together in a way that bridges the gap between mind and matter, addressing one of the most vexing philosophical problems: that of consciousness.Combining vivid animal encounters with philosophical reflections and the latest news from biology, Metazoa reveals that even in our high-tech, AI-driven times, there is no understanding our minds without understanding nerves, muscles, and active bodies. The story that results is as rich and vibrant as life itself.

The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics


Marcus du Sautoy - 2003
    The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

What Einstein Told His Barber: More Scientific Answers to Everyday Questions


Robert L. Wolke - 2000
    Wolke, professor emeritus of chemistry at the University of Pittsburgh and acclaimed author of What Einstein Didn't Know, understands the need to...well, understand. Now he provides more amusing explanations of such everyday phenomena as gravity (If you're in a falling elevator, will jumping at the last instant save your life?) and acoustics (Why does a whip make such a loud cracking noise?), along with amazing facts, belly-up-to-the-bar bets, and mind-blowing reality bites all with his trademark wit and wisdom.If you shoot a bullet into the air, can it kill somebody when it comes down? You can find out about all this and more in an astonishing compendium of the proverbial mind-boggling mysteries of the physical world we inhabit.Arranged in a question-and-answer format and grouped by subject for browsing ease, WHAT EINSTEIN TOLD HIS BARBER is for anyone who ever pondered such things as why colors fade in sunlight, what happens to the rubber from worn-out tires, what makes red-hot objects glow red, and other scientific curiosities. Perfect for fans of Newton's Apple, Jeopardy!, and The Discovery Channel, WHAT EINSTEIN TOLD HIS BARBER also includes a glossary of important scientific buzz words and a comprehensive index. -->

Lost in Math: How Beauty Leads Physics Astray


Sabine Hossenfelder - 2018
    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

The Naked Ape


Desmond Morris - 1967
    Here is the Naked Ape at his most primal in love, at work, at war. Meet man as he really is: relative to the apes, stripped of his veneer as we see him courting, making love, sleeping, socializing, grooming, playing. The Naked Ape takes its place alongside Darwin’s Origin of the Species, presenting man not as a fallen angel, but as a risen ape, remarkable in his resilience, energy and imagination, yet an animal nonetheless, in danger of forgetting his origins. With its penetrating insights on man's beginnings, sex life, habits and our astonishing bonds to the animal kingdom, The Naked Ape is a landmark, at once provocative, compelling and timeless.

Why Time Flies: A Mostly Scientific Investigation


Alan Burdick - 2017
    But what is time, exactly? Do children experience it the same way adults do? Why does it seem to slow down when we’re bored and speed by as we get older? How and why does time fly?In this witty and meditative exploration, award-winning author and New Yorker staff writer Alan Burdick takes readers on a personal quest to understand how time gets in us and why we perceive it the way we do. In the company of scientists, he visits the most accurate clock in the world (which exists only on paper); discovers that “now” actually happened a split-second ago; finds a twenty-fifth hour in the day; lives in the Arctic to lose all sense of time; and, for one fleeting moment in a neuroscientist’s lab, even makes time go backward. Why Time Flies is an instant classic, a vivid and intimate examination of the clocks that tick inside us all.

The Jazz of Physics: The Secret Link Between Music and the Structure of the Universe


Stephon Alexander - 2016
    Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim-The Jazz of Physics reveals that the ancient poetic idea of the Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.

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.

Science Fictions: The Epidemic of Fraud, Bias, Negligence and Hype in Science


Stuart Ritchie - 2020
    But what if science itself can’t be relied on?Medicine, education, psychology, health, parenting – wherever it really matters, we look to science for advice. Science Fictions reveals the disturbing flaws that undermine our understanding of all of these fields and more.While the scientific method will always be our best and only way of knowing about the world, in reality the current system of funding and publishing science not only fails to safeguard against scientists’ inescapable biases and foibles, it actively encourages them. From widely accepted theories about ‘priming’ and ‘growth mindset’ to claims about genetics, sleep, microbiotics, as well as a host of drugs, allergies and therapies, we can trace the effects of unreliable, overhyped and even fraudulent papers in austerity economics, the anti-vaccination movement and dozens of bestselling books – and occasionally count the cost in human lives.Stuart Ritchie was among the first people to help expose these problems. In this vital investigation, he gathers together the evidence of their full and shocking extent – and how a new reform movement within science is fighting back. Often witty yet deadly serious, Science Fictions is at the vanguard of the insurgency, proposing a host of remedies to save and protect this most valuable of human endeavours from itself.