Calculating the Cosmos: How Mathematics Unveils the Universe


Ian Stewart - 2016
    He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.Beginning with the Babylonian integration of mathematics into the study of astronomy and cosmology, Stewart traces the evolution of our understanding of the cosmos: How Kepler's laws of planetary motion led Newton to formulate his theory of gravity. How, two centuries later, tiny irregularities in the motion of Mars inspired Einstein to devise his general theory of relativity. How, eighty years ago, the discovery that the universe is expanding led to the development of the Big Bang theory of its origins. How single-point origin and expansion led cosmologists to theorize new components of the universe, such as inflation, dark matter, and dark energy. But does inflation explain the structure of today's universe? Does dark matter actually exist? Could a scientific revolution that will challenge the long-held scientific orthodoxy and once again transform our understanding of the universe be on the way? In an exciting and engaging style, Calculating the Cosmos is a mathematical quest through the intricate realms of astronomy and cosmology.

Brilliant Blunders: From Darwin to Einstein - Colossal Mistakes by Great Scientists That Changed Our Understanding of Life and the Universe


Mario Livio - 2013
    Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

Mathematical Methods for Physicists


George B. Arfken - 1970
    This work includes differential forms and the elegant forms of Maxwell's equations, and a chapter on probability and statistics. It also illustrates and proves mathematical relations.

Measuring the Universe: Our Historic Quest to Chart the horizons of Space and Time


Kitty Ferguson - 1900
    Today, scientists are attempting to measure the entire universe and to determine its origin. Although the methods have changed, the quest to chart the horizons of space and time continues to be one of the great adventures of science.Measuring the Universe is an eloquent chronicle of the men and women– from Aristarchus to Cassini, Sir Isaac Newton to Henrietta Leavitt and Stephen Hawking–who have gradually unlocked the mysteries of "how far" and in so doing have changed our ideas about the size and nature of the universe and our place in it. Kitty Ferguson reveals their methods to have been as inventive as their results were–and are–eye-opening. Advances such as Copernicus's revolutionary insights about the arrangement of the solar system, William Herschel's meticulous creation of the first three-dimensional map of the universe, and Edwin Hubble's astonishing discovery that the universe is expanding have by turns revolutionized our concept of the universe. Connecting centuries of breakthroughs with the political and cultural events surrounding them, Ferguson makes astronomy part of the sweep of history.To measure the seemingly immeasurable, scientists have always pushed the boundaries of the imagination–today, for example, facing the paradox of an ever-expanding universe that doesn't appear to expand into anything. In Kitty Fergeson's skillfill hands, the unimaginable becomes accessible and the splendid quest something we all can share.

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.

Maps of Time: An Introduction to Big History


David Christian - 2004
    Beginning with the Big Bang, David Christian views the interaction of the natural world with the more recent arrivals in flora and fauna, including human beings.Cosmology, geology, archeology, and population and environmental studies—all figure in David Christian's account, which is an ambitious overview of the emerging field of "Big History." Maps of Time opens with the origins of the universe, the stars and the galaxies, the sun and the solar system, including the earth, and conducts readers through the evolution of the planet before human habitation. It surveys the development of human society from the Paleolithic era through the transition to agriculture, the emergence of cities and states, and the birth of the modern, industrial period right up to intimations of possible futures. Sweeping in scope, finely focused in its minute detail, this riveting account of the known world, from the inception of space-time to the prospects of global warming, lays the groundwork for world history—and Big History—true as never before to its name.

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 Philosophical Writings of Niels Bohr, Vol. 1: Atomic Theory and the Description of Nature


Niels Bohr - 1931
    First published in 1934, and reprinted in 1961, this collection contains four articles and an introductory survey. Originally written for various journals during the 1920s, the articles concern themselves with the epistemological significance of discoveries in quantum physics.

Cosmos


Carl Sagan - 1980
    In the book, Sagan explores 15 billion years of cosmic evolution and the development of science and civilization. Cosmos traces the origins of knowledge and the scientific method, mixing science and philosophy, and speculates to the future of science. The book also discusses the underlying premises of science by providing biographical anecdotes about many prominent scientists throughout history, placing their contributions into the broader context of the development of modern science.The book covers a broad range of topics, comprising Sagan's reflections on anthropological, cosmological, biological, historical, and astronomical matters from antiquity to contemporary times. Sagan reiterates his position on extraterrestrial life—that the magnitude of the universe permits the existence of thousands of alien civilizations, but no credible evidence exists to demonstrate that such life has ever visited earth.

Mind and Cosmos: Why the Materialist Neo-Darwinian Conception of Nature Is Almost Certainly False


Thomas Nagel - 2012
    The mind-body problem cannot be confined to the relation between animal minds and animal bodies. If materialism cannot accommodate consciousness and other mind-related aspects of reality, then we must abandon a purely materialist understanding of nature in general, extending to biology, evolutionary theory, and cosmology. Since minds are features of biological systems that have developed through evolution, the standard materialist version of evolutionary biology is fundamentally incomplete. And the cosmological history that led to the origin of life and the coming into existence of the conditions for evolution cannot be a merely materialist history. An adequate conception of nature would have to explain the appearance in the universe of materially irreducible conscious minds, as such. No such explanation is available, and the physical sciences, including molecular biology, cannot be expected to provide one. The book explores these problems through a general treatment of the obstacles to reductionism, with more specific application to the phenomena of consciousness, cognition, and value. The conclusion is that physics cannot be the theory of everything.

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace


Leonard Mlodinow - 2001
    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. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

Critique of Pure Reason


Immanuel Kant - 1781
    It presents a profound and challenging investigation into the nature of human reason, its knowledge and its illusions. Reason, Kant argues, is the seat of certain concepts that precede experience and make it possible, but we are not therefore entitled to draw conclusions about the natural world from these concepts. The Critique brings together the two opposing schools of philosophy: rationalism, which grounds all our knowledge in reason, and empiricism, which traces all our knowledge to experience. Kant's transcendental idealism indicates a third way that goes far beyond these alternatives.

Conversations on Science, Culture, and Time: Michel Serres with Bruno Latour


Michel Serres - 1992
    In these five lively interviews with sociologist Bruno Latour, this increasingly important cultural figure sheds light on the ideas that inspire his highly original, challenging, and transdisciplinary essays. Serres begins by discussing the intellectual context and historical events-- including the impact of World War II and Hiroshima, which for him marked the beginning of science's ascendancy over the humanities--that shaped his own philosophical outlook and led him to his lifelong mission of bringing together the texts of the humanities and the conceptual revolutions of modern science. He then confronts the major difficulties encountered by his readers: his methodology, his mathematician's fondness for "shortcuts" in argument, and his criteria for juxtaposing disparate elements from different epochs and cultures in extraordinary combinations. Finally, he discusses his ethic for the modern age--a time when scientific advances have replaced the natural necessities of disease and disaster with humankind's frightening new responsibility for vital things formerly beyond its control. In the course of these conversations Serres revisits and illuminates many of his themes: the chaotic nature of knowledge, the need for connections between science and the humanities, the futility of traditional criticism, and what he calls his "philosophy of prepositions"--an argument for considering prepositions, rather than the conventionally emphasized verbs and substantives, as the linguistic keys to understanding human interactions. For readers familiar with Serres's works as well as for the uninitiated, Conversations on a Life in Philosophy provides fascinating insights into the mind of this appealing, innovative and ardent thinker. Michel Serres has taught at Clermont-Ferrand, at the University of Paris VIII (Vincennes) and at the Sorbonne. He has served as visiting professor at Johns Hopkins University and has been on the faculty of Stanford University since 1984. Bruno Latour, a philosopher and anthropologist, is Professor of Sociology, L'Ecole Nationale Supérieure des Mines in Paris. He has written several books and numerous articles on the ties between the sciences and the rest of culture and society. Roxanne Lapidus is Managing Editor of SubStance: A Review of Theory and Literary Criticism. Conversations on a Life in Philosophy was originally published in France as Eclaircissements.

Science of Logic


Georg Wilhelm Friedrich Hegel - 1812
    Most of the major schools of contemporary philosophy, from Marxism to Existentialism, are reactions to Hegelianism and all, if they are to be understood, require some understanding of Hegel's Science of Logic.

Wrinkles in Time


George Smoot - 1993
    Dr. George Smoot, a distinguished cosmologist and adventurer whose quest for cosmic knowledge had taken him from the Brazilian rain forest to the South Pole, unveiled his momentous discovery, bringing to light the very nature of the universe. For anyone who has ever looked up at the night sky and wondered, for anyone who has ever longed to pull aside the fabric of the universe for a glimpse of what lies behind it. Wrinkles in Time is the story of Smoot's search to uncover the cosmic seeds of the universe.Wrinkles in Time is the Double Helix of cosmology, an intimate look at the inner world of men and women who ask. "Why are we here?" It tells the story of George Smoot's dogged pursuit of the cosmic wrinkles in the frozen wastes of Antarctica, on mountaintops, in experiments borne aloft aboard high-altitude balloons, U-2 spy planes, and finally a space satellite. Wrinkles in Time presents the hard science behind the structured violence of the big bang theory through breathtakingly clear, lucid images and meaningful comparisons. Scientists and nonscientists alike can follow with rapt attention the story of how, in a fiery creation, wrinkles formed in space ultimately to become stars, galaxies, and even greater delicate structures. Anyone can appreciate the implications of a universe whose end is written in its beginnings - whose course developed according to a kind of cosmic DNA, which guided the universe from simplicity and symmetry to ever-greater complexity and structure. As controversial as it may seem today, Wrinkles in Time reveals truths that, in an earlier century, would have doomed its proclaimers to the fiery stake. For four thousand years some people have accepted the Genesis account of cosmic origin; for most of this century, scientists debated two rival scientific explanations known as the steady state and big bang theories. And now, Wrinkles in Time tells what really happened. The personal story behind astrophysicist George Smoot's incredible discovery of the origin of the cosmos, hailed by Stephen Hawking as "The scientific discovery of the century, if not of all time."