Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

    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.

    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Anselm presents a philosophical argument for the existence of God. Anselm's proof, known since the time of Kant as the ontological argument for the existence of God, has played an important role in the history of philosophy and has been incorporated in various forms into the systems of Descartes, Leibniz, Hegel, and others. Included in this edition of the Proslogion are Gaunilo's "A Reply on Behalf of the Fool" and St. Anselm's "The Author's Reply to Gaunilo." All three works are in the original Latin with English translation on facing pages. Professor Charlesworth's introduction provides a helpful discussion of the context of the Proslogion in the theological tradition and in Anselm's own thought and writing.

    Over the years these authoritative, critically acclaimed editions have been the preferred choice of more than three million readers for personal libraries and individual study as well as for classroom use.

    But while this epic struggle forms the core of his work, Herodotus' natural curiosity frequently gives rise to colorful digressions - a description of the natural wonders of Egypt; an account of European lake-dwellers; and far-fetched accounts of dog-headed men and gold-digging ants. With its kaleidoscopic blend of fact and legend, the "Histories" offers a compelling Greek view of the world of the fifth century BC.

    It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    This book varies in tone and substance from the other works so attributed, but it is dialectically related to them, as well as to the other pseudonymous writings. AnnotationThis translation of Kierkegaard's deals with the nature of doubt and faith in the realm of his existential philosophy.

    It is Epictetus, a lame former slave exiled by Emperor Domitian, who offers by far the most precise and humane version of Stoic ideals. The Discourses, assembled by his pupil Arrian, catch him in action, publicly setting out his views on ethical dilemmas.Committed to communicating with the broadest possible audience, Epictetus uses humor, imagery conversations and homely comparisons to put his message across. The results are perfect universal justice and calm indifference in the face of pain. The most comprehensive edition available with an introduction, notes, selected criticism, glossary, and chronology of Epictetus' life and times.

    Written by a 12th- century thinker who was equally active as an original philosopher and as a Biblical and Talmudic scholar, it is both a classic of great historical importance and a work of living significance today.The Guide for the Perplexed was written for scholars who were bewildered by the conflict between religion and the scientific and philosophic thought of the day. It is concerned, basically, with finding a concord between the religion of the Old Testament and its commentaries, and Aristotelian philosophy. After analyzing the ideas of the Old Testament by means of "homonyms," Maimonides examines other reconciliations of religion and philosophy (the Moslem rationalists) and then proposes his own resolution with contemporary Aristotelianism. The Guide for the Perplexed was at once recognized as a masterwork, and it strongly influenced Jewish, Christian, and Moslem thought of the Middle Ages. It is necessary reading for any full comprehension of the thought of such scholastics as Aquinas and Scotus, and indispensable for everyone interested in the Middle Ages, Judaism, medieval philosophy, or the larger problems which Maimonides discusses.

    It has often been treated merely as a key to the Greek philosophical works that Cicero used, but this volume aims to render De Officiis, which had a profound impact upon subsequent political thinkers, more intelligible by explaining its relation to its own time and place. All the standard series features are present, including a wholly new translation, a concise introduction by a leading scholar, select bibliography, chronology, notes on vocabulary and brief biographies of the most prominent individuals mentioned in the text.

    True religion consists in practice of simple piety, independent of philosophical speculation.

    Ideal for a two-to-three week introduction to the Presocratics and Sophists, this volume offers a selection of the extant remains of early Greek philosophical thought on cosmology, metaphysics, epistemology, and ethics, together with unobtrusive, minimally interpretive editorial material: an introduction, brief headnotes, maps, and a concordance.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.