He shows that the scientists of ancient and medieval times not only did not understand what we understand about the world—they did not understand what there is to understand, or how to understand it. Yet over the centuries, through the struggle to solve such mysteries as the curious backward movement of the planets and the rise and fall of the tides, the modern discipline of science eventually emerged. Along the way, Weinberg examines historic clashes and collaborations between science and the competing spheres of religion, technology, poetry, mathematics, and philosophy.An illuminating exploration of the way we consider and analyze the world around us, To Explain the World is a sweeping, ambitious account of how difficult it was to discover the goals and methods of modern science, and the impact of this discovery on human knowledge and development.

    Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements.Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin--who founded the famous Moscow School of Mathematics--were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite--and led to the founding of descriptive set theory.The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and -creativity.

    She entered Ah-gwah-ching State Sanatorium at Walker, Minnesota, for what she thought would be a short stay. In January, her tuberculosis spread, and she nearly died. Her recovery required many months of bed rest and medical care.Marilyn loved to write, and the story of her three-year residency at the sanatorium is preserved in hundreds of letters that she mailed back home to her parents, who could visit her only occasionally and whom she missed terribly. The letters functioned as a diary in which Marilyn articulately and candidly recorded her reactions to roommates, medical treatments, Native American nurses, and boredom. She also offers readers the singular perspective of a bed-bound teenager, gossiping about boys, requesting pretty new pajamas, and enjoying Friday evening popcorn parties with other patients.Selections from this cache of letters are woven into an informative narrative that explores the practices and culture of a midcentury tuberculosis sanatorium and fills in long-forgotten details gleaned from recent conversations with Marilyn, who "graduated" from the sanatorium and went on to lead a full, productive life.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer)This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    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.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    He constructed a fleet of customized unicycles and a flamethrowing trumpet, outfoxed Vegas casinos, and built juggling robots. He also wrote the seminal text of the digital revolution, which has been called “the Magna Carta of the Information Age.” His discoveries would lead contemporaries to compare him to Albert Einstein and Isaac Newton. His work anticipated by decades the world we’d be living in today—and gave mathematicians and engineers the tools to bring that world to pass.In this elegantly written, exhaustively researched biography, Jimmy Soni and Rob Goodman reveal Claude Shannon’s full story for the first time. It’s the story of a small-town Michigan boy whose career stretched from the era of room-sized computers powered by gears and string to the age of Apple. It’s the story of the origins of our digital world in the tunnels of MIT and the “idea factory” of Bell Labs, in the “scientists’ war” with Nazi Germany, and in the work of Shannon’s collaborators and rivals, thinkers like Alan Turing, John von Neumann, Vannevar Bush, and Norbert Wiener.And it’s the story of Shannon’s life as an often reclusive, always playful genius. With access to Shannon’s family and friends, A Mind at Play brings this singular innovator and creative genius to life.

    

    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.

    The God series fully reveals what Pythagoras meant. Mathematics - built from numbers - is not an abstraction but is ontological: it actually exists. Numbers are real things. Specifically, they are the frequencies of energy waves. (Moreover, energy waves are simply sinusoidal waves: sines and cosines, meaning that the study of energy is the study of sinusoids). There are infinite energy waves, hence infinite numbers. No numbers are privileged over any others, so negative and imaginary numbers are as ontologically important as real numbers (upon which science is exclusively based).Real numbers correspond to space and imaginary numbers to time. Negative numbers are "antimatter": a mirror image universe.The two most powerful numbers of all - and the ultimate basis of Illuminist thinking - are zero and infinity, which are harnessed together ontologically (opposite sides of the same coin, so to speak). The existence of zero and infinity is vehemently denied by the ideology of scientific materialism. In Illuminism, these two numbers not only exist, they are the "God" numbers: the origin of all other numbers. Zero and infinity comprise the Big Bang Singularity itself from which an infinitely large universe emerged: "everything" literally came from "nothing".Moreover, zero is also the "monad" of Leibniz (an Illuminati Grand Master). It is therefore the number of THE SOUL, and it has INFINITE capacity. Being dimensionless - a mathematical point - the soul is outside the dimensional, material domain of space and time, hence the soul is indestructible, immortal and cannot be detected by any conventional scientific experiment.What we are describing are the necessary, analytic, eternal truths of mathematics - they have no connection with Abrahamic religious faith. There is NO Creator God but, astoundingly, each soul is capable of being promoted to God status, just as the pawn in chess can become the most important chess piece, the Queen, if it reaches the other side of the battlefield (the board). In Illuminism, if you reach gnosis - enlightenment - you become God.Mathematics is literally everything. Unlike science, mathematics offers certainty: 100% true and incontestable knowledge. Mathematics unifies science, religion and metaphysics. Mathematics is the true Grand Unified Theory of Everything that science pursues so futilely. Science can never deliver truth and certainty because it is inherently a succession of provisional theories, any of which can be overturned at any time by new experimental data. Science is based on ideas of validation and falsification. Mathematics is based on absolute analytic and unarguable certainty. No experiment can ever contradict a mathematical truth.Mathematics is the ONLY answer to everything. Mathematics is the ONLY subject inherently about eternal, Platonic truth. As soon as existence is understood to be nothing but ontological mathematics, all questions are ipso facto answered.The God series, starting with The God Game, reveals the astonishing power of ontological mathematics to account for everything, including things such as free will, irrationalism, emotion, consciousness and qualia, which seem to have no connection with mathematics.Read the God series and you will become a convert to the world's only rational religion - Illuminism, the Pythagorean religion of mathematics that infallibly explains all things and guarantees everyone a soul that is not only eternal but also has the capacity to make of each of us a true God.Isn't it time to become Illuminated?

    Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.

    This concise guide offers a modern interpretation of the doctrine, distilling its teachings with seven compelling principles that can be applied to self-development in daily life.

    Here Lawrence M. Krauss, himself a theoretical physicist and best-selling author, offers a unique scientific biography: a rollicking narrative coupled with clear and novel expositions of science at the limits. An immensely colorful persona in and out of the office, Feynman revolutionized our understanding of nature amid a turbulent life. Krauss presents that life—from the death of Feynman’s childhood sweetheart during the Manhattan Project to his reluctant rise as a scientific icon—as seen through the science, providing a new understanding of the legacy of a man who has fascinated millions. An accessible reflection on the issues that drive physics today, Quantum Man captures the story of a man who was willing to break all the rules to tame a theory that broke all the rules.