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von Chris Bernhardt

An accessible and fascinating exploration of how Alan Turing’s mathematical theory gave rise to modern computer science and applications—from the desktops to cell phonesIn 1936, when he was just 24 years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing’s Vision, Chris Bernhardt explains the theory for the general reader, beginning with its foundations and systematically building to its surprising conclusions. He also views Turing’s theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing’s later work, and the birth of the modern computer.Turing wanted to show that there were problems that were beyond any computer’s ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing’s ideas, Bernhardt examines 3 well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing’s problem concerning computable numbers.

von William Dunham

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. 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.“It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

von C.S. Lewis

‘you Can Only Find Out The Rights And Wrongs By Reasoning – Never By Being Rude About Your Opponent’s Psychology.’ For C. S. Lewis, Reason And Logic Are The Sensible Way To Approach Faith And Ethics. Much Of The 20th Century’s Ills Are Caused By Ill-founded Beliefs And Opinions.

von Albert Einstein

An accesible version of Einstein's masterpiece of theory, written by the genius himselfAccording to Einstein himself, this book is intended "to give an exact insight into the theory of Relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics." When he wrote the book in 1916, Einstein's name was scarcely known outside the physics institutes. 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.For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.

von A. C. Grayling

'a Cerebrally Enjoyable Survey, Written With Great Clarity And Touches Of Wit . . . The Non-western Section Throws Up Some Fascinating Revelations' Sunday Times The Story Of Philosophy Is An Epic Tale: An Exploration Of The Ideas, Views And Teachings Of Some Of The Most Creative Minds Known To Humanity. But There Has Been No Comprehensive And Entertaining, Single-volume History Of This Great Intellectual Journey Since 1945. With His Characteristic Clarity And Elegance A. C. Grayling Takes The Reader From The World-views And Moralities Before The Age Of The Buddha, Confucius And Socrates, Through Christianity's Dominance Of The European Mind To The Renaissance And Enlightenment, And On To Mill, Nietzsche, Sartre, And Philosophy Today. And, Since The Story Of Philosophy Is Incomplete Without Mention Of The Great Philosophical Traditions Of India, China And The Persian-arabic World, He Gives A Comparative Survey Of Them Too. Intelligible For Students And Eye-opening For Philosophy Readers, He Covers Epistemology, Metaphysics, Ethics, Aesthetics, Logic, The Philosophy Of Mind, The Philosophy Of Language, Political Philosophy And The History Of Debates In These Areas Of Enquiry, Through The Ideas Of The Celebrated Philosophers As Well As Less Well-known Influential Thinkers. He Also Asks What We Have Learnt From This Body Of Thought, And What Progress Is Still To Be Made. The First Authoritative And Accessible Single-volume History Of Philosophy For Decades, Remarkable For Its Range And Clarity, This Is A Landmark Work.

von A. C. Grayling

The story of philosophy is an epic tale: an exploration of the ideas, views and teachings of some of the most creative minds known to humanity. But since the long-popular classic Bertrand Russell's History of Western Philosophy, first published in 1945, there has been no comprehensive and entertaining, single-volume history of this great intellectual journey.With his characteristic clarity and elegance A. C. Grayling takes the reader from the world-views and moralities before the age of the Buddha, Confucius and Socrates, through Christianity's dominance of the European mind to the Renaissance and Enlightenment, and on to Mill, Nietzsche, Sartre, and philosophy today. And, since the story of philosophy is incomplete without mention of the great philosophical traditions of India, China and the Persian-Arabic world, he gives a comparative survey of them too.Intelligible for students and eye-opening for philosophy readers, he covers epistemology, metaphysics, ethics, aesthetics, logic, the philosophy of mind, the philosophy of language, political philosophy and the history of debates in these areas of enquiry, through the ideas of the celebrated philosophers as well as less well-known influential thinkers. He also asks what we have learnt from this body of thought, and what progress is still to be made.The first authoritative and accessible single-volume history of philosophy for decades, remarkable for its range and clarity, this is a landmark work.

von Richard Phillips Feynman

Famous the world over for the creative brilliance of his insights into the physical world, Nobel Prize-winning physicist Richard Feynman also possessed an extraordinary talent for explaining difficult concepts to the nonscientist. QED--the edited version of four lectures on quantum electrodynamics that Feynman gave to the general public at UCLA as part of the Alix G. Mautner Memorial Lecture series--is perhaps the best example of his ability to communicate both the substance and the spirit of science to the layperson.The focus, as the title suggests, is quantum electrodynamics (QED), the part of the quantum theory of fields that describes the interactions of the quanta of the electromagnetic field-light, X rays, gamma rays--with matter and those of charged particles with one another. By extending the formalism developed by Dirac in 1933, which related quantum and classical descriptions of the motion of particles, Feynman revolutionized the quantum mechanical understanding of the nature of particles and waves. And, by incorporating his own readily visualizable formulation of quantum mechanics, Feynman created a diagrammatic version of QED that made calculations much simpler and also provided visual insights into the mechanisms of quantum electrodynamic processes.In this book, using everyday language, spatial concepts, visualizations, and his renowned "Feynman diagrams" instead of advanced mathematics, Feynman successfully provides a definitive introduction to QED for a lay readership without any distortion of the basic science. Characterized by Feynman's famously original clarity and humor, this popular book on QED has not been equaled since its publication.

von Michel Foucault

The Courage of the Truth is the last course that Michel Foucault delivered at the Collège de France. Here, he continues the theme of the previous year's lectures in exploring the notion of "truth-telling" in politics to establish a number of ethically irreducible conditions based on courage and conviction. His death, on June 25th, 1984, tempts us to detect the philosophical testament in these lectures, especially in view of the prominence they give to the themes of life and death.

von Paul H. Fry

Bringing his perennially popular course to the page, Yale University Professor Paul H. Fry offers in this welcome book a guided tour of the main trends in twentieth-century literary theory. At the core of the book's discussion is a series of underlying questions: What is literature, how is it produced, how can it be understood, and what is its purpose?Fry engages with the major themes and strands in twentieth-century literary theory, among them hermeneutics, modes of formalism, semiotics and Structuralism, deconstruction, psychoanalytic approaches, Marxist and historicist approaches, theories of social identity, Neo-pragmatism and theory. By incorporating philosophical and social perspectives to connect these many trends, the author offers readers a coherent overall context for a deeper and richer reading of literature.

von Julian B. Barbour

Ever since Newton created dynamics, there has been controversy about its foundations. Are space and time absolute? Do they form a rigid but invisible framework and container of the universe? Or are space, time, and motion relative? If so, does Newton's 'framework' arise through the influence of the universe at large, as Ernst Mach suggested? Einstein's aim when creating his general theory of relativity was to demonstrate this and thereby implement 'Mach's Principle'. However, it is widely believed that he achieved only partial success. This question of whether motion is absolute or relative has been a central issues in philosophy; the nature of time has perennial interest. Current attempts to create a quantum description of the whole universe keep these issues at the cutting edge of modern research. Written by the world's leading expert on Mach's Principle, The Discovery of Dynamics is a highly original account of the development of notions about space, time, and motion. Widely praised in its hardback version, it is one of the fullest and most readable accounts of the astronomical studies that culminated in Kepler's laws of planetary motion and of the creation of dynamics by Galileo, Descartes, Huygens, and Newton. Originally published as Absolute or Relative Motion?, Vol. 1: The Discovery of Dynamics (Cambridge), The Discovery of Dynamics provides the technical background to Barbour's recently published The End of Time, in which he argues that time disappears from the description of the quantum universe.