A study on the nature and power of thoughts this is the most well-known book of the prominent Theosophist, women's rights activist, writer and orator.

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

    Simulations allow us to stage actual interactions among a population of agents and to observe the emergent wholes that result from those interactions. Simulations have become as important as mathematical models in theoretical science. As computer power and memory have become cheaper they have migrated to the desktop, where they now play the role that small-scale experiments used to play. A philosophical examination of the epistemology of simulations is needed to cement this new role, underlining the consequences that simulations may have for materialist philosophy itself. This remarkably clear philosophical discussion of a rapidly growing field, from a thinker at the forefront of research at the interface of science and the humanities, is a must-read for anyone interested in the philosophy of technology and the philosophy of science at all levels.

    4 BC–65 AD). He counseled readers to “study death always,” and took his own advice, returning to the subject again and again in all his writings, yet he never treated it in a complete work. How to Die gathers in one volume, for the first time, Seneca’s remarkable meditations on death and dying. Edited and translated by James Romm, How to Die reveals a provocative thinker and dazzling writer who speaks with a startling frankness about the need to accept death or even, under certain conditions, to seek it out.Seneca believed that life is only a journey toward death and that one must rehearse for death throughout life. Here, he tells us how to practice for death, how to die well, and how to understand the role of a good death in a good life. He stresses the universality of death, its importance as life’s final rite of passage, and its ability to liberate us from pain, slavery, or political oppression.Featuring beautifully rendered new translations, How to Die also includes an enlightening introduction, notes, the original Latin texts, and an epilogue presenting Tacitus's description of Seneca's grim suicide.

    After painting Hegel's life and times in broad strokes, Peter Singer goes on to tackle some of the more challenging aspects of Hegel's philosophy. Offering a broad discussion of Hegel'sideas and an account of his major works, Singer explains what have often been considered abstruse and obscure ideas in a clear and inviting manner.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam

    But miracles? Rising from the dead? Some of the stories you hear about him sound like just that - stories. A reasonable person would never believe them, let alone the claim that he's the only way to God! But a reasonable person would also make sure that he or she understood the facts before jumping to conclusions. That's why Lee Strobel - an award-winning legal journalist with a knack for asking tough questions - decided to investigate Jesus for himself. An atheist, Strobel felt certain his findings would bring Christianity's claims about Jesus tumbling down like a house of cards. He was in for the surprise of his life. Join him as he retraces his journey from skepticism to faith. You'll consult expert testimony as you sift through the truths that history, science, psychiatry, literature, and religion reveal. Like Strobel, you'll be amazed at the evidence - how much there is, how strong it is, and what it says. The facts are in. What will your verdict be in The Case for Christ?

    From the persecutions of the early church to the papal-imperial conflicts of the Middle Ages, from the religious wars of 16th- and 17th-century Europe to the challenges of science and secularism in the modern era, and from the ancient Christian communities of Africa and Asia to the 'house churches' of contemporary China, The Story of Christianity triumphantly captures the complexity and diversity of Christian history.

    Churches and homes across America overwhelmingly choose the NRSV for its easy-to-understand translation and its sensitivity to inclusive language. A multi-denominational committee of scholars from around the world based their revision on the original Hebrew, Greek, and Aramaic texts. The Oxford NRSV also includes the most complete collection of Aprocryphal and Deuterocanonical books. The Oxford NRSV follows in Oxford University Press's long tradition of publishing elegant bibles under the best biblical scholarship available in the world, offering the highest quality bibles for reasonable values. Choose from an array of attractive bindings and colors - cloth, fine leather, and economical paperback editions - to suit your needs. Whether for gift-giving, individual study, or for church distribution, this durable yet elegant bible is perfect for any occasion. Features include: * Two column text. * Eight pages of full color New Oxford Bible Maps (except for 9820A) * Ninety-six page, select NRSV Concordance. * Available with and without the Apocrypha

    [captures] the relentless urgency of Lucretius' didacticism, his passionate conviction and proselytizing fervour.' --The Classical Review

    Eros and Magic in the Renaissance challenges this view, providing an in-depth scholarly explanation of the workings of magic and showing that magic continues to exist in an altered form even today.Renaissance magic, according to Ioan Couliano, was a scientifically plausible attempt to manipulate individuals and groups based on a knowledge of motivations, particularly erotic motivations. Its key principle was that everyone (and in a sense everything) could be influenced by appeal to sexual desire. In addition, the magician relied on a profound knowledge of the art of memory to manipulate the imaginations of his subjects. In these respects, Couliano suggests, magic is the precursor of the modern psychological and sociological sciences, and the magician is the distant ancestor of the psychoanalyst and the advertising and publicity agent.In the course of his study, Couliano examines in detail the ideas of such writers as Giordano Bruno, Marsilio Ficino, and Pico della Mirandola and illuminates many aspects of Renaissance culture, including heresy, medicine, astrology, alchemy, courtly love, the influence of classical mythology, and even the role of fashion in clothing.Just as science gives the present age its ruling myth, so magic gave a ruling myth to the Renaissance. Because magic relied upon the use of images, and images were repressed and banned in the Reformation and subsequent history, magic was replaced by exact science and modern technology and eventually forgotten. Couliano's remarkable scholarship helps us to recover much of its original significance and will interest a wide audience in the humanities and social sciences.

    In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Silver translates our most important, and often most obscure, scientific developments into a vernacular that is not only accessible and illuminating but also enjoyable. Silver makes his comprehensive case with much clarity and insight; his book aptly locates science as the apex of human reason, and reason as our best path to the truth. For all readers curious about--or else perhaps intimidated by--what Silver calls the scientific campaign up to now in his Preface, The Ascent of Science will be fresh, vivid, and fascinating reading.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science