TABLE OF CONTENTS: ALGEBRA, WHAT ELSE?: 1. The Birth of a Masterwork - 2. Commutativity and Left- and Right-Division - 3. Algorithms, Algorithms, Algorithms - 4. Formalism - 5. A Fateful Choice - 6. Overview - 7. A Strange Document - 8. Acknowledgements - 9. Tools - Notes — ON THE FORMAL ELEMENTS OF THE ABSOLUTE ALGEBRA: §. 1. Character des zu behandelnden Problems. Character of the Problem in Issue - §. 2. Einschränkungen der Aufgabe. Restrictions of our Scope - §. 3. Die Fundamentalgleichungen für nur zwei Zahlen. Algorithmen. The Fundamental Equations for only Two Numbers. Algorithms - §. 4. Vertauschungsprincipien. Principles of Permutation - §. 5. Die Fundamentalgleichungen für drei Zahlen. Elementarcyklen und Gruppen. The Fundamental Equations for Three Numbers. Elementary Cycles and Groups - §. 6. Consequenzen der Algorithmen C1; C2; C3 für drei Zahlen. Consequences of the Algorithms C1; C2; C3 for Three Numbers - §. 7. Consequenzen von C0. Consequences of C0 - §. 8. Combination der Ci. Combination of the Ci - §. 9. Das Formelsystem O1 der ordinäre Algebra. The Formal System O1 of the Usual Algebra - §. 10. Untergeordnete Algorithmen von O1: Weitere ermittelte Tragweitezahlen. Subordinate Algorithms of O1: Further Sizes — FIGURES - Notes — APPENDIX - Notes — ILLUSTRATIONS - Bibliography - Index of the Main Concepts - Index of the Illustrations.
Augustine as a point of departureThis study examines Christian education in early vernacular texts of the German Middle Ages on the basis of Latin traditions of learning and teaching from Late Antiquity. The point of departure is Augustine's De doctrina christiana in which Augustine not only consolidated Christian and pagan traditions but combined them into a program of Christian education. Illuminates continuity of traditionsThe author considers the continuity of these traditions in the late sixth century in Gregory the Great's treatise on pastoral care, Regula pastoralis, the early ninth-century work of Hrabanus Maurus, De institutione clericorum, in the Old High German poem, the Muspilli also from the ninth century, then in the Middle High German works, the Memento Mori from the late 11th century, and the poems of Frau Ava and Von den Letzten Dingen from the early and late 12th century, respectively. Translations of the Latin and early German texts generally appear together with a version of their original texts. A bibliography and index conclude the volume.
Published just after the Second World War, European Literature and the Latin Middle Ages is a sweeping exploration of the remarkable continuity of European literature across time and place, from the classical era up to the early nineteenth century, and from the Italian peninsula to the British Isles. In what T. S. Eliot called a "magnificent" book, Ernst Robert Curtius establishes medieval Latin literature as the vital transition between the literature of antiquity and the vernacular literatures of later centuries. The result is nothing less than a masterful synthesis of European literature from Homer to Goethe. European Literature and the Latin Middle Ages is a monumental work of literary scholarship. In a new introduction, Colin Burrow provides critical insights into Curtius's life and ideas and highlights the distinctive importance of this wonderful book.
From the pioneering glider flights of Otto Lilienthal (1891) to the advanced avionics of today’s Airbus passenger jets, aeronautical research in Germany has been at the forefront of the birth and advancement of aeronautics. On the occasion of the centennial commemoration of the Wright Brother’s first powered flight (December 1903), this English-language edition of Aeronautical Research in Germany recounts and celebrates the considerable contributions made in Germany to the invention and ongoing development of aircraft. Featuring hundreds of historic photos and non-technical language, this comprehensive and scholarly account will interest historians, engineers, and, also, all serious airplane devotees. Through individual contributions by 35 aeronautical experts, it covers in fascinating detail the milestones of the first 100 years of aeronautical research in Germany, within the broader context of the scientific, political, and industrial milieus. This richly illustrated and authoritative volume constitutes a most timely and substantial overview of the crucial contributions to the foundation and advancement of aeronautics made by German scientists and engineers.
The last two decades have brought two important developments for aeroth- modynamics. One is that airbreathing hypersonic flight became the topic of technology programmes and extended system studies. The other is the emergence and maturing of the discrete numerical methods of aerodyn- ics/aerothermodynamics complementary to the ground-simulation facilities, with the parallel enormous growth of computer power. Airbreathing hypersonic flight vehicles are, in contrast to aeroassisted re-entry vehicles, drag sensitive. They have, further, highly integrated lift and propulsion systems. This means that viscous eflFects, like boundary-layer development, laminar-turbulent transition, to a certain degree also strong interaction phenomena, are much more important for such vehicles than for re-entry vehicles. This holds also for the thermal state of the surface and thermal surface effects, concerning viscous and thermo-chemical phenomena (more important for re-entry vehicles) at and near the wall. The discrete numerical methods of aerodynamics/aerothermodynamics permit now - what was twenty years ago not imaginable - the simulation of high speed flows past real flight vehicle configurations with thermo-chemical and viscous effects, the description of the latter being still handicapped by in sufficient flow-physics models. The benefits of numerical simulation for flight vehicle design are enormous: much improved aerodynamic shape definition and optimization, provision of accurate and reliable aerodynamic data, and highly accurate determination of thermal and mechanical loads. Truly mul- disciplinary design and optimization methods regarding the layout of thermal protection systems, all kinds of aero-servoelasticity problems of the airframe, et cetera, begin now to emerge.
Ernst Cassirer occupies a unique space in twentieth-century philosophy. A great liberal humanist, his multi-faceted work spans the history of philosophy, the philosophy of science, intellectual history, aesthetics, epistemology, the study of language and myth, and more. Cassirer’s thought also anticipates the renewed interest in the origins of analytic and continental philosophy in the Twentieth Century and the divergent paths taken by the 'logicist' and existential traditions, epitomised by his now legendary debate in 1929 with the philosopher Martin Heidegger, over the question "What is the Human Being?" The Philosophy of Symbolic Forms is Cassirer's most important work. It was first published in German in 1923, the third and final volume appearing in 1929. In it Cassirer presents a radical new philosophical worldview - at once rich, creative and controversial - of human beings as fundamentally "symbolic animals", placing signs and systems of expression between themselves and the world. This major new translation of all three volumes, the first for over fifty years, brings Cassirer's magnum opus to a new generation of students and scholars. Taken together, the three volumes of The Philosophy of Symbolic Forms are a vital treatise on human beings as symbolic animals and a monumental expression of neo-Kantian thought. Correcting important errors in previous English editions, this translation reflects the contributions of significant advances in Cassirer scholarship over the last twenty to thirty years. Each volume includes a new introduction and translator's notes by Steve G. Lofts, a foreword by Peter E. Gordon, a glossary of key terms, and a thorough index.
This textbook addresses the mathematical description of sets, categories, topologies and measures, as part of the basis for advanced areas in theoretical computer science like semantics, programming languages, probabilistic process algebras, modal and dynamic logics and Markov transition systems. Using motivations, rigorous definitions, proofs and various examples, the author systematically introduces the Axiom of Choice, explains Banach-Mazur games and the Axiom of Determinacy, discusses the basic constructions of sets and the interplay of coalgebras and Kripke models for modal logics with an emphasis on Kleisli categories, monads and probabilistic systems. The text further shows various ways of defining topologies, building on selected topics like uniform spaces, Gödel’s Completeness Theorem and topological systems. Finally, measurability, general integration, Borel sets and measures on Polish spaces, as well as the coalgebraic side of Markov transition kernels along with applications to probabilistic interpretations of modal logics are presented. Special emphasis is given to the integration of (co-)algebraic and measure-theoretic structures, a fairly new and exciting field, which is demonstrated through the interpretation of game logics. Readers familiar with basic mathematical structures like groups, Boolean algebras and elementary calculus including mathematical induction will discover a wealth of useful research tools. Throughout the book, exercises offer additional information, and case studies give examples of how the techniques can be applied in diverse areas of theoretical computer science and logics. References to the relevant mathematical literature enable the reader to find the original works and classical treatises, while the bibliographic notes at the end of each chapter provide further insights and discussions of alternative approaches.
Collecting information previously scattered throughout the vast literature, including the author's own research, Stochastic Relations: Foundations for Markov Transition Systems develops the theory of stochastic relations as a basis for Markov transition systems. After an introduction to the basic mathematical tools from topology, measure
The Sermon on the Mount never ceases to challenge readers in every generation. New methods and new insights into new surroundings have to be applied to the most influential speech ever given. In this study, Ernst Baasland takes a fresh look at the history of research done on it, both on its broad influence and on the variety of interpretations. The historical questions are seen from new perspectives. Is orality the key to a better understanding? To what extent can we reconstruct a pre-text and the question of authenticity be answered? These questions are seen through historiographical lenses. The author argues in favour of a universal addressee and maintains that the speech contains radical philosophical thinking. The first audience consisted of Jews, and the religiously based understanding of life is conceived within Judaism. However, its ethics of wisdom is developed in a Hellenistic setting and provides a radical philosophy of life.
It is November 1918. Germany has just surrendered after four years of the most savage warfare in history. It is teetering on the brink of total social and economic collapse, and the German people now lie at the mercy of new, liberal politicians who despise everything Germany once stood for. The Communists are rioting in the streets, threatening to topple the new government in Weimar and bring about their own revolution. The frontline soldiers are returning from the hell of the war to find an unrecognizable land, the principles and traditions they had sacrificed so much to defend now the stuff of mockery. The narrator of The Outlaws, a 16-year-old military cadet, is too young to have served in the trenches, but feels the sting of this betrayal no less than they. Since Germany's armies have been all but disbanded, he joins the paramilitary Freikorps - groups of veterans who refuse to lay down their arms, and who have pledged to stop the Communists - and begins fighting, first in the streets of Germany's cities, and then in the Baltic states, defending Germany's eastern frontiers from Communist subversion while ignoring the calls to disengage by the meek politicians at home. After months of intense fighting abroad, the Freikorps soldiers return to settle scores with their enemies in Germany, dreaming of a nationalist counter-revolution, and, their trigger fingers still itchy, fix their sights on bringing down the hated new government once and for all... The Outlaws is a chronicle of the experiences of the men who fought in the Freikorps, but it is also an adventure and a war story about an entire generation of soldiers who loved their homeland more than peace and comfort, and who refused to accept defeat at any price. "What we wanted we did not know; but what we knew we did not want. To force a way through the prisoning wall of the world, to march over burning fields, to stamp over ruins and scattered ashes, to dash recklessly through wild forests, over blasted heaths, to push, conquer, eat our way through towards the East, to the white, hot, dark, cold land that stretched between ourselves and Asia - was that what we wanted? I do not know whether that was our desire, but that was what we did. And the search for reasons why was lost in the tumult of continuous fighting." - p. 65 Ernst von Salomon (1902-1972) was one of the writers of the German Conservative Revolution of the 1920s. Like the narrator of The Outlaws, he was a military cadet at the end of the First World War, and joined the Freikorps, participating in many of the events described in the book, including the assassination of Foreign Minister Walther Rathenau, for which he was imprisoned. He went on to write many books and film scripts.
Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and best-known for the first formulation of the axiom of choice. However, his papers include also pioneering work in applied mathematics and mathematical physics. This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field which comments on the historical background, motivations, accomplishments, and influence.
Describes and interrelates the following processes: cooperative alpha processes in a cold liquid, structural relaxation in the glass near Tg, the Johari-Goldstein beta process, the Williams-Götze process in a warm liquid, fast nonactivated cage rattling and boson peak, and ultraslow Fischer modes.
Neufert's Architects' Data is an essential reference for the initial design and planning of a building project. It provides, in one concise volume, the core information needed to form the framework for the more detailed design and planning of any building project. Organised largely by building type, it covers the full range of preliminary considerations, and with over 6200 diagrams it provides a mass of data on spatial requirements. Most illustrations are dimensioned and each building type includes plans, sections, site layouts and design details. An extensive bibliography and a detailed set of metric/ imperial conversion tables are included. Since it was first published in Germany in 1936, Ernst Neufert's handbook has been progressively revised and updated through 39 editions and many translations. This fourth English language edition is translated from the 39th German edition, and represents a major new edition for an international, English speaking readership. Reviews of the Previous Edition: "Neufert's Architects' Data was the first book I bought when I started my studies in architecture. It was invaluable for me then and it is still a useful aid in my designs." —Cesar Pelli "With this thorough rewrite Neufert has produced yet again an invaluable reference book." —The Architects' Journal
Although the reputation of the great German scholar Ernst Robert Curtius was firmly established for English and American readers by the translation of European Literature and the Latin Middle Ages, much of his work is still unknown to them. These twenty-four essays, written over a period of nearly thirty years, range widely in time and scope and consider some of the greatest figures in European literature, among them Virgil, Goethe, Balzac, Joyce, Eliot, Ortega y Gasset, and Hesse. The essays show the qualities that made Curtius one of the great critics of our age: his lucid, penetrating mind, his comprehensive erudition, his cosmopolitan outlook, and above all his passionate concern for European culture. Like T. S. Eliot, the subject of one of his finest essays, Curtius believed in an ideal order, a cultural unity of the West. The unifying element in all these essays is a concern to insure the conservation and continuance of European humanistic culture. For him this culture consisted of the literary heritage of Greece and Rome, developed and enriched by the Christian civilization of the Middle Ages. Consequently he selected for discussion those poets and writers who have been conscious of the unity of these two European currents and who have striven to maintain it in our time. As he ranged freely through the languages and literatures of all Western cultures, Curtius himself did much to preserve this tradition, to demonstrate its relevance, and insure its continuity. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
In this pioneering work, Ernst Breisach presents an effective, well-organized, and concise account of the development of historiography in Western culture. Neither a handbook nor an encyclopedia, this up-to-date third edition narrates and interprets the development of historiography from its origins in Greek poetry to the present, with compelling sections on postmodernism, deconstructionism, African-American history, women’s history, microhistory, the Historikerstreit, cultural history, and more. The definitive look at the writing of history by a historian, Historiography provides key insights into some of the most important issues, debates and innovations in modern historiography. Praise for the first edition: “Breisach’s comprehensive coverage of the subject and his clear presentation of the issues and the complexity of an evolving discipline easily make his work the best of its kind.”—Lester D. Stephens, American Historical Review
Metal-Fluorocarbon Based Energetic Materials This exciting new book details all aspects of a major class of pyrolants and elucidates the progress that has been made in the field, covering both the chemistry and applications of these compounds. Written by a pre-eminent authority on the subject from the NATO Munitions Safety Information Analysis Center (MSIAC), it begins with a historical overview of the development of these materials, followed by a thorough discussion of their ignition, combustion and radiative properties. The next section explores the multiple facets of their military and civilian applications, as well as industrial synthetic techniques. The critical importance of the associated hazards, namely sensitivity, stability and aging, are discussed in detail, and the book is rounded off by an examination of the future of this vital and expanding field. The result is a complete guide to the chemistry, manufacture, applications and required safety precautions of pyrolants for both the military and chemical industries. From the preface: “... This book fills a void in the collection of pyrotechnic literature... it will make an excellent reference book that all researchers of pyrolants and energetics must have...” Dr. Bernard E. Douda, Dr. Sara Pliskin, NAVSEA Crane, IN, USA
This Open Access book offers a novel view on the benefits of a lasting variation between the member states in the EU. In order to bring together thirty very different European states and their citizens, the EU will have to offer more scope for variation. Unlike the existing differentiation by means of opt-outs and deviations, variation is not a concession intended to resolve impasses in negotiations; it is, rather, a different structuring principle. It takes differences in needs and in democratically supported convictions seriously. A common core remains necessary, specifically concerning the basic principles of democracy, rule of law, fundamental rights and freedoms, and the common market. By taking this approach, the authors remove the pressure to embrace uniformity from the debate about the EU’s future. The book discusses forms of variation that fall both within and outside the current framework of European Union Treaties. The scope for these variations is mapped out in three domains: the internal market; the euro; and asylum, migration and border control.
Ernest Solvay, philanthropist and organizer of the world-famous Solvay conferences on physics, discovered a profitable way of making soda ash in 1861. Together with a handful of associates, he laid the foundations of the Solvay company, which successfully branched out into other chemicals, plastics and pharmaceuticals. Since its emergence in 1863, Solvay has maintained world leadership in the production of soda ash. This is the first scholarly book on the history of the Solvay company, which was one of the earliest chemical multinationals and today is among the world's twenty largest chemical companies. It is also one of the largest companies in the field to preserve its family character. The authors analyze the company's 150-year history (1863–2013) from economic, political and social perspectives, showing the enormous impact geopolitical events had on the company and the recent consequences of global competition.
The Philosophy of Symbolic Forms is one of the landmarks of twentieth century philosophy. Drawing from the influential work of Wilhelm Dilthey, it transformed neo-Kantianism into a new robust philosophy of culture. The second volume, on Mythical Thinking, analyzes the fundamental layers of perception and expression as well as the articulations with religion and the dialectic with other forms, essentially language and art. The intellectual breadth of the volume is remarkable. It initiated the debate with Martin Heidegger and prompted a long-lasting meditation by Hans Blumenberg. We are only beginning to recognize its importance for our understanding of the power of images in the construction of aesthetics, the self, and the socio-political world. It initiated a discussion within French sociology (Émile Durkheim, Marcel Mauss) that ultimately resurfaced in Pierre Bourdieu, while today it is considered as a resourceful path for cultural and critical theory (Drucilla Cornell and Kenneth M. Panfilio). Finally, this volume also offers solid grounds for a political critique of Nazism - specifically: Alfred Rosenberg’s Myth of the 20th Century and Adolf Hitler’s Mein Kampf - as well as the new emerging totalitarian ideologies." Fabien Capeilleres, Professor of Philosophy, editor of the French edition of Cassirer’s Works. This new translation makes Cassirer’s seminal work available to a new generation of scholars. Each volume includes a translator’s introduction by Steve G. Lofts, a foreword by Peter E. Gordon, a glossary of key terms, and an index.
Heritage of Our Times is a brilliant examination of modern culture and its legacy by one of the most important and deeply influential thinkers of the 20th century. Bloch argues that the key elements of a genuine cultural tradition are not just to be found in the conveniently closed and neatly labeled ages of the past, but also in the open and experimental cultural process of our time. One of the most compelling aspects of this work is a contemporary analysis of the rise of Nazism. It probes its bogus roots in German history and mythology at the very moment when the ideologies of Blood and Soil and the Blond Beast were actually taking hold of the German people. The breadth and depth of Bloch's vision, together with the rich diversity of his interest, ensure this work a place as one of the key books of the 20th century.
Since the industrial revolution, progress has meant an increase in labour productivity. Factor Four describes a new form of progress, resource productivity, a form which meets the overriding imperative for the future (sustainability). It shows how at least four times as much wealth can be extracted from the resources we use. As the authors put it, the book is about doing more with less, but this is not the same as doing less, doing worse or doing without. In 1972, the Club of Rome published Limits to Growth, which sent shock waves around the world by arguing that we were rapidly running out of essential resources. This Report to the Club of Rome offers a solution. It lies in using resources more efficiently, in ways which can already be achieved, not at a cost, but at a profit. The book contains a wealth of examples of revolutionizing productivity, in the use of energy; from hypercars to low-energy beef; materials, from sub-surface drip irrigation to electronic books, transport, video conferencing to CyberTran, and demonstrating how much more could be generated from much less today. It explains how markets can be organized and taxes re-based to eliminate perverse incentives and reward efficiency, so wealth can grow while consumption does not. The benefits are enormous: profits will increase, pollution and waste will decrease and the quality of life will improve. Moreover, the benefits will be shared: progress will no longer depend on making ever fewer people more productive. Instead, more people and fewer resources can be employed. While for many developing countries the efficiency revolution may offer the only realistic chance of prosperity within a reasonable time span. The practical promise held out in this book is huge, but the authors show how it is up to each of us, as well as to businesses and governments, to make it happen.
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