Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law


Peter Woit - 2006
    In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

Big Bang: The Origin of the Universe


Simon Singh - 2004
    In this amazingly comprehensible history of the universe, Simon Singh decodes the mystery behind the Big Bang theory, lading us through the development of one of the most extraordinary, important, and awe-inspiring theories in science.

The View from the Center of the Universe: Discovering Our Extraordinary Place in the Cosmos


Joel R. Primack - 2006
     For four hundred years, since early scientists discovered that the universe did not revolve around the earth, people have felt cut off-adrift in a meaningless cosmos. That is about to change. In their groundbreaking new book, The View from the Center of the Universe, Joel R. Primack, Ph.D., one of the world's leading cosmologists, and Nancy Ellen Abrams, a philosopher and writer, use recent advances in astronomy,physics, and cosmology to frame a compelling new theory of how to understand the universe and our role in it. While most of us think of the universe as empty space peppered with stars separated by vast distances, the truth, the authors argue, is far richer and more meaningful. For the first time in history, we know that the universe is more coherent and spiritually significant than anyone ever imagined and that our place in it is actually central to the expanding universe in important ways. According to Primack and Abrams, this new cosmology clarifies how the universe operates, what it's made of, how it may have originated, and how it is evolving. Even more surprising, these startling ideas spring from both cutting-edge science and the metaphors of ancient symbols. The result is a very human book that satisfies our fundamental need for order and meaning in our world and in our lives.

Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation


Mark C. Chu-Carroll - 2013
    There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.

The Little Book of Mathematical Principles, Theories, & Things


Robert Solomon - 2008
    Rare Book

Soccermatics: Mathematical Adventures in the Beautiful Game


David Sumpter - 2016
    How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis.What's the similarity between an ant colony and Total Football, Dutch style? How is the Barcelona midfield linked geometrically? And how can we relate the mechanics of a Mexican Wave to the singing of cicadas in an Australian valley? Welcome to the world of mathematical modeling, expressed brilliantly by David Sumpter through the prism of soccer. Soccer is indeed more than a game and this book is packed with game theory. After reading it, you will forever watch the game with new eyes.

The Quantum and the Lotus: A Journey to the Frontiers Where Science and Buddhism Meet


Matthieu Ricard - 2000
    Eventually he left his life in science to study with Tibetan teachers, and he is now a Buddhist monk and translator for the Dalai Lama, living in the Shechen monastery near Kathmandu in Nepal. Trinh Thuan was born into a Buddhist family in Vietnam but became intrigued by the explosion of discoveries in astronomy during the 1960s. He made his way to the prestigious California Institute of Technology to study with some of the biggest names in the field and is now an acclaimed astrophysicist and specialist on how the galaxies formed. 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? Or is our universe one in a series of infinite universes with no end and no beginning? Is the concept of a beginning of time fundamentally flawed? Might our perception of time in fact be an illusion, a phenomenon created in our brains that has no ultimate reality? Is the stunning fine-tuning of the universe, which has produced just the right conditions for life to evolve, a sign that a “principle of creation” is at work in our world? If such a principle of creation undergirds the workings of the universe, what does that tell us about whether or not there is a divine Creator? How does the radical interpretation of reality offered by quantum physics conform to and yet differ from the Buddhist conception of reality? What is consciousness and how did it evolve? Can consciousness exist apart from a brain generating it?The stimulating journey of discovery the authors traveled in their discussions is re-created beautifully in The Quantum and the Lotus, written in the style of a lively dialogue between friends. Both the fundamental teachings of Buddhism and the discoveries of contemporary science are introduced with great clarity, and the reader will be profoundly impressed by the many correspondences between the two streams of thought and revelation. Through the course of their dialogue, the authors reach a remarkable meeting of minds, ultimately offering a vital new understanding of the many ways in which science and Buddhism confirm and complement each other and of the ways in which, as Matthieu Ricard writes, “knowledge of our spirits and knowledge of the world are mutually enlightening and empowering.” “The Quantum and the Lotus is a mind-expanding, eye-opening exploration of the exciting parallels between cutting-edge thinking in physics and Buddhism–a scintillating conversation any thinking person would delight in overhearing.” —Daniel Goleman, author of Emotional Intelligence“The Quantum and the Lotus is the rich and inspiring result of a deeply interesting dialogue between Western science and Buddhist philosophy. This remarkable book will contribute greatly to a better understanding of the true nature of our world and the way we live our lives.” —His Holiness the Dalai Lama

Science and Hypothesis


Henri Poincaré - 1902
    Explaining how such basic concepts as number and magnitude, space and force were developed, the great French mathematician refutes the skeptical position that modern scientific method and its results are wholly factitious. The places of rigorous logic and intuitive leaps are both established by an analysis of contrasting methods of idea-creation in individuals and in modern scientific traditions. The nature of hypothesis and the role of probability are investigated with all of Poincaré's usual fertility of insight.Partial contents: On the nature of mathematical reasoning. Magnitude and experiment. Space: non-Euclidean geometrics, space and geometry, experiment and geometry. Force: classical mechanics, relative and absolute motion, energy and thermodynamics. Nature: hypotheses in physics, the theories of modern physics, the calculus of probabilities, optics and electricity, electro-dynamics."Poincaré's was the last man to take practically all mathematics, both pure and applied as his province. Few mathematicians have had the breadth of philosophic vision that Poincaré's had, and none is his superior in the gift of clear exposition." — Men of Mathematics, Eric Temple Bell, Professor of Mathematics, University of Cambridge

How to Change Your Mind: What the New Science of Psychedelics


Zhivko - 2018
    

Broca's Brain: Reflections on the Romance of Science


Carl Sagan - 1979
    In his delightfully down-to-earth style, he explores & explains a mind-boggling future of intelligent robots, extraterrestrial life & its consquences, & other provocative, fascinating quandries of the future we want to see today.

Introducing Fractals: A Graphic Guide


Nigel Lesmoir-Gordon - 1996
    It's about the broken, wrinkled, wiggly world - the uneven shapes of nature, unlike the idealized forms of Euclidean geometry. We see fractals everywhere; indeed we are fractal! Fractal Geometry is an extension of classical geometry. Using computers, it can make precise models of physical structures - from ferns to galaxies. Fractal geometry is a new language. Once you speak it, you can describe the shape of cloud as precisely as an architect can describe a house.

Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry


George F. Simmons - 1981
    . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun. In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

My Brain is Open: The Mathematical Journeys of Paul Erdős


Bruce Schechter - 1998
    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

Imagining Numbers


Barry Mazur - 2002
    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions


Lisa Randall - 2005
    It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now.Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razor's edge of modern scientific theory. One of the world's leading theoretical physicists, Lisa Randall provides astonishing scientific possibilities that, until recently, were restricted to the realm of science fiction. Unraveling the twisted threads of the most current debates on relativity, quantum mechanics, and gravity, she explores some of the most fundamental questions posed by Nature—taking us into the warped, hidden dimensions underpinning the universe we live in, demystifying the science of the myriad worlds that may exist just beyond our own.