Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, logic was something we use to conquer a reality which is in itself both elusive and unobtainable. He famously summarized the book in the following words: 'What can be said at all can be said clearly; and what we cannot talk about we must pass over in silence.' David Pears and Brian McGuinness received the highest praise for their meticulous translation. The work is prefaced by Bertrand Russell's original introduction to the first English edition.

    Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.

    On 29 March 1849, the ten-year-old Maharajah of the Punjab was ushered into the magnificent Mirrored Hall at the centre of the great Fort in Lahore. There, in a public ceremony, the frightened but dignified child handed over to the British East India Company in a formal Act of Submission to Queen Victoria not only swathes of the richest land in India, but also arguably the single most valuable object in the subcontinent: the celebrated Koh-i Noor diamond. The Mountain of Light. The history of the Koh-i-Noor that was then commissioned by the British may have been one woven together from gossip of Delhi Bazaars, but it was to be become the accepted version. Only now is it finally challenged, freeing the diamond from the fog of mythology which has clung to it for so long. The resulting history is one of greed, murder, torture, colonialism and appropriation through an impressive slice of south and central Asian history. It ends with the jewel in its current controversial setting: in the crown of Queen Elizabeth the Queen Mother. Masterly, powerful and erudite, this is history at its most compelling and invigorating.

    Indeed, no artistic movement has ever been quite so controversial. The drama of its birth, played out on canvas and against the backdrop of the Franco-Prussian War and the Commune, would at times resemble a battlefield; and as Ross King reveals, it would reorder both history and culture, and resonate around the world.

    The ancient world has influenced our customs and religious beliefs, our laws, and the form of our governments. It has taught us when and how we make war or pursue peace. It has shaped the buildings we live and work in and the art we hang on our walls. It has given us the calendar that organizes our year and has left its mark on the games we play.Includes a PDF course guidebook that contains 362 pages.

    And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.

    Though he never wrote down his thoughts, he had a brilliant pupil in Plato, who immortalized his teacher's legacy in 35 timeless dialogues that laid the philosophical basis for Western civilization.Professor Michael Sugrue of Princeton University brings the Socratic quest for truth alive in these lectures, which discuss ideas that are as vital today as they were 25 centuries ago. Ideas about truth, justice, love, beauty, courage, and wisdom. Ideas that can change lives and reveal the world in new ways to the true student.Professor Sugrue reveals the inner structure, action, and meaning of 17 of Plato's greatest dialogues, making this course an indispensable companion for anyone interested in philosophy in general or Platonic thought in particular.

    Priestley represented a unique synthesis: by the 1780s, he had established himself as one of the world's most celebrated scientists, most prominent religious figures, and most outspoken political thinkers. Yet he would also have become one of the most hated men in all of his native England. When an angry mob burned down his house in Birmingham, Priestley and his family set sail for Pennsylvania.In the nascent United States, Priestley hoped to find the freedom to bridge the disciplines that had governed his life, to find a quiet lab and a receptive pulpit. Once he arrived, as a result of his close relationships with the Founding Fathers—Jefferson credited Priestley as the man who prevented him from abandoning Christianity—Priestley found himself at the center of what would go down as one of the seminal debates in American history. And as Johnson brilliant charts, Priestley exerted profound if little-known influence on the shape and course of this great experiment in nation-building.As in his most recent bestselling work, The Ghost Map, Steven Johnson here uses a dramatic historical story to explore themes that have long engaged him: innovation and the way new ideas emerge and spread, and the environments that foster these breakthroughs. As he did in Everything Bad is Good for You, he upsets some fundamental assumptions about the world we live in—namely, what it means when we invoke the Founding Fathers—and replaces them with a clear-eyed, eloquent assessment of where we stand today.

    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.