G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

"...a fine book ... treats algebraic number theory from the valuation-theoretic viewpoint. When it appeared in 1949 it was a pioneer. Now there are plenty of competing accounts. But Hasse has seomething extra to offer. This is not surprising, for it was he who inaugurated the local-global principle (universally called the Hasse principle). This doctrine asserts that one should first study a problem in algebraic number theoy locally, that is, at the completion of a valuation. Then ask for a miracle: that global validity is equivalent to local validity. ... It is trite but true: Every number theorist should have this book on his or her shelf." - IRVING KAPLANSKY IN BULETIN _OF THE AMERICAN MATH SOCIETY

Throughout history, some books have changed the world. They have transformed the way we see ourselves and each other. They have inspired debate, dissent, war and revolution. They have enlightened, outraged, provoked and comforted. They have enriched lives and destroyed them. Now Penguin brings you the works of the great thinkers, pioneers, radicals and visionaries whose ideas shook civilization, and helped make us who we are.

This scarce antiquarian book is a selection from Kessinger Publishings Legacy Reprint Series. 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 to protecting, preserving, and promoting the worlds literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

Hemingway's evocation of the pride and the tragedy of the civil war that tore Spain apart. A young American volunteer is sent to handle the dynamiting of a bridge behind the lines of Franco's army. In the mountains he find the dangers and the intense comradeship of war - and he discovers Maria.

In the remote Kingdom of Castalia, the scholars of the Twenty Third century play the Glass Bead Game. The elaborately coded game is a fusion of all human knowledge - of maths, music, philosophy, science, and art. Intrigued as a school boy, Joseph Knecht becomes consumed with mastering the game as an adult. As Knecht fulfills his life-long quest, he must contend with unexpected dilemmas and the longing for a life beyond the ivory tower.

Originally published in the 1940s, Paul Hindemith's remakable textbooks are still the outstanding works of their kind. In contrast to many musical textbooks written by academic musicians, these were produced by a man who could play every instrument of the orchestra, could compose a satisfying piece for almost every kind of ensemble, and who was one of the most stimulating teachers of his day. It is therefore not surprising that nearly forty years later these books should remain essential reading for the student and the professional musician. Preface * Construction of the Simplest One-Voice Melodic Patterns * Beginning of Two-Voice Setting * Elaborated Melody (Auxiliary or Teturning Tones, Passing Tones) * Elaborated Melody (Continuation) * Principles of Melodic Construction * Elaborated Melody (Conclusion) * Tonal Higher-Units * Tonality of the Melodies * Elaboration of the Melody Model * Free Two-Voice Setting I and II

Originally published in the 1940s, Paul Hindemith's remakable textbooks are still the outstanding works of their kind. In contrast to many musical textbooks written by academic musicians, these were produced by a man who could play every instrument of the orchestra, could compose a satisfying piece for almost every kind of ensemble, and who was one of the most stimulating teachers of his day. It is therefore not surprising that nearly forty years later these books should remain essential reading for the student and the professional musician. Introductory * The Medium * The Nature of the Building Stones * Harmony * Melody * Analyses

In these essays, about a quarter of them previously unpublished, Eric Hobsbawm reflects upon the theory, practice and development of history and its relevance to the modern world. These wide-ranging papers reflect Professor Hobsbawm's lifelong concern with the relations between past, present and future. They deal, among many other subjects, with the problems of writing history, its abuses and the historian's responsibilities; with the history of society and 'history from below'; with Marx and current historical trends or fashions; with Europe, the Russian Revolution and the descent into a world-wide barbarism that, increasing for most of the twentieth century, threatens to destroy the civilisation we have inherited from the European Enlightenment of the eighteenth century. These essays reveal a passionate belief in the importance of studying history, as well as displaying the incisive analysis, the breadth of allusion and the distinctive viewpoint for which this great historian is justly famous.

Many of the traditions which we think of as very ancient in their origins were not in fact sanctioned by long usage over the centuries, but were invented comparatively recently. This book explores examples of this process of invention - the creation of Welsh and Scottish 'national culture'; the elaboration of British royal rituals in the nineteenth and twentieth centuries; the origins of imperial rituals in British India and Africa; and the attempts by radical movements to develop counter-traditions of their own. It addresses the complex interaction of past and present, bringing together historians and anthropologists in a fascinating study of ritual and symbolism which poses new questions for the understanding of our history.

Der Roman besteht aus zwei – zunächst als völlig getrennt erscheinenden – Geschichten:

Zum einen wird die Lebensgeschichte des Katers Murr erzählt. Der abstrakt denkende und gebildete Kater selbst fungiert als Ich-Erzähler und Autobiograf des Textes, der neben einer chronologischen Schilderung seiner Erlebnisse von seiner Geburt bis zum Zeitpunkt der Niederschrift zahlreiche ausführliche Kommentare und Reflexionen zur "Bildung des Lesers" enthält. Der Roman setzt sich mit der zeitgenössischen Trivialisierung der Bildungsidee kritisch auseinander. Murr meint, ein funktionierendes, gebrauchsfertiges Rezept "wie man sich zum großen Kater bildet" liefern zu können.

Motive und klassische Elemente des Bildungsromans werden parodiert: Murr erlebt eine "lehrreiche" Jugendfreundschaft (zum Pudel Ponto), eine "persönlichkeitsformende" Liebe (zur Katze Miesmies), versucht sich in Saufgelagen und Ehrenduellen als "tüchtiger Katzbursch" und in der "höhern Kultur und Welt" (die der Hunde) als feiner Gesellschafter, bildet sich jedoch schließlich autodidaktisch zum homme de lettres aus. Hoffmann nutzt dies zu zahlreichen Seitenhieben auf verschiedene kulturelle Strömungen und literarische Formen der vergangenen Jahre.

Zum anderen enthält der Text Bruchstücke eines fitkiven bereits gedruckten Buches über das Leben des Kapellmeisters Johannes Kreisler. Dem Vorwort kann der Leser entnehmen, dass der ungeschickte Kater Murr dieses Buch zerstückelte, dessen Blätter als Unterlage oder Löschpapier verwendete und sie dann auch noch im Manuskript beließ. Der "Herausgeber" (E.T.A. Hoffmann selbst) gibt sich als unachtsam, denn der Setzer druckte auch diese Textpassagen mit ab. In diesen "beigebundenen Fragmenten" enthüllt sich das Schicksal des Musikers als eine gesellschaftliche Rebellion.

This groundbreaking Pulitzer Prize-winning book sets the standard for interdisciplinary writing, exploring the patterns and symbols in the thinking of mathematician Kurt Godel, artist M.C. Escher, and composer Johann Sebastian Bach.

"On a par with Ursula LeGuin or Arthur C. Clarke."—Chicago Tribune

"A magnificent novel.a colossal achievement.an instant contemporary classic."—Science Fiction Review

"A.SF masterpiece."—Kim Stanley Robinson

When the Styths, a powerful and aggressive race of mutants from Uranus and Saturn, launch pirate raids on ships from Mars, Earth's Committee for the Revolution sets out to negotiate peace. The task falls to the resourceful and unpredictable Paula Mendoza. The initial meetings hold little hope for success—until Paula adopts a less conventional approach and appears to obtain her objective. But, the consequences for Paula prove considerable, when she finds herself on the floating cities of the Gas Planets, the tenuous, and only, link between Earth and the Styth Empire.A profoundly moving portrait of one determined and strong-willed woman.