A Mathematician's Apology


Author: G. H. Hardy

Publisher: Cambridge University Press

ISBN: 9780521427067

Category: Mathematics

Page: 153

View: 4752

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.

Mathematicians and their Gods

Interactions between mathematics and religious beliefs


Author: Snezana Lawrence,Mark McCartney

Publisher: OUP Oxford

ISBN: 0191007544

Category: Mathematics

Page: 320

View: 8828

To open a newspaper or turn on the television it would appear that science and religion are polar opposites - mutually exclusive bedfellows competing for hearts and minds. There is little indication of the rich interaction between religion and science throughout history, much of which continues today. From ancient to modern times, mathematicians have played a key role in this interaction. This is a book on the relationship between mathematics and religious beliefs. It aims to show that, throughout scientific history, mathematics has been used to make sense of the 'big' questions of life, and that religious beliefs sometimes drove mathematicians to mathematics to help them make sense of the world. Containing contributions from a wide array of scholars in the fields of philosophy, history of science and history of mathematics, this book shows that the intersection between mathematics and theism is rich in both culture and character. Chapters cover a fascinating range of topics including the Sect of the Pythagoreans, Newton's views on the apocalypse, Charles Dodgson's Anglican faith and Gödel's proof of the existence of God.

Der Mann, der die Zahlen liebte.

Die erstaunliche Geschichte des Paul Erdös und die Suche nach der Schönheit in der Mathematik.


Author: Paul Hoffman

Publisher: N.A

ISBN: 9783548750583


Page: 357

View: 7717



Author: Timothy Gowers

Publisher: N.A

ISBN: 9783150187067


Page: 207

View: 3316

Analysis and Probability

Wavelets, Signals, Fractals


Author: Palle E. T. Jorgensen

Publisher: Springer Science & Business Media

ISBN: 0387295194

Category: Mathematics

Page: 280

View: 1549

Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Generative Social Science: Studies in Agent-Based Computational Modeling

Studies in Agent-Based Computational Modeling


Author: Joshua M. Epstein

Publisher: Princeton University Press

ISBN: 1400842875

Category: Business & Economics

Page: 384

View: 594

Agent-based computational modeling is changing the face of social science. In Generative Social Science, Joshua Epstein argues that this powerful, novel technique permits the social sciences to meet a fundamentally new standard of explanation, in which one "grows" the phenomenon of interest in an artificial society of interacting agents: heterogeneous, boundedly rational actors, represented as mathematical or software objects. After elaborating this notion of generative explanation in a pair of overarching foundational chapters, Epstein illustrates it with examples chosen from such far-flung fields as archaeology, civil conflict, the evolution of norms, epidemiology, retirement economics, spatial games, and organizational adaptation. In elegant chapter preludes, he explains how these widely diverse modeling studies support his sweeping case for generative explanation. This book represents a powerful consolidation of Epstein's interdisciplinary research activities in the decade since the publication of his and Robert Axtell's landmark volume, Growing Artificial Societies. Beautifully illustrated, Generative Social Science includes a CD that contains animated movies of core model runs, and programs allowing users to easily change assumptions and explore models, making it an invaluable text for courses in modeling at all levels.

Das Große, das Kleine und der menschliche Geist


Author: Roger Penrose

Publisher: Spektrum Akademischer Verlag

ISBN: 9783827413314

Category: Science

Page: 232

View: 4752

In diesem Buch verteidigt Roger Penrose seine These, daß Bewußtsein auf quantentheoretischer Basis erklärt werden könnte - wobei er sich der Kritik des theoretischen Physikers und Kosmologen Stephen Hawking, der Philosophin Nancy Cartwright und des Philosophen Abner Shimony stellt. Hawking, ehemaliger Student, Freund und Kollege von Penrose, wendet sich gegen eine platonistische Sicht, der zufolge mathematische Objekte in einer Ideenwelt existieren. Als Positivist glaubt Hawking, daß mathematische Modelle Konstruktionen sind, die sich an physikalischen Beobachtungen als richtig oder falsch erweisen. Abner Shimony wendet ein, daß eine philosophische Begründung der Phänomene nur möglich ist, wenn man sich auf eine philosophische Ontologie einigt. Wie kann ein Physikalismus, der allein quantenmechanische Phänomene und ihre mathematischen Beschreibungen zuläßt, ein nichtphysikalisches Problem wie Bewußtsein erklären? Nancy Cartwright schließlich fragt, mit welcher Berechtigung die Physik den anderen Wissenschaften bei der Erklärung des Bewußtseins vorzuziehen sei. Warum nicht Bewußtsein mit biologischen Gesetzen begründen? All diese Fragen lassen Penrose nicht an seinem Konzept zweifeln, den Schlüssel für die Unberechenbarkeit vieler Bewußtseinsprozesse in einer künftigen Theorie zu vermuten, die Quantenphysik und Gravitation vereinigen soll.

Der das Unendliche kannte

Das Leben des genialen Mathematikers Srinivasa Ramanujan


Author: Robert Kanigel

Publisher: Springer-Verlag

ISBN: 3322837696

Category: Science

Page: 331

View: 7033

Der Geist im Atom

Eine Diskussion der Geheimnisse der Quantenphysik


Author: DAVIES

Publisher: Springer-Verlag

ISBN: 3034860463

Category: Juvenile Nonfiction

Page: 191

View: 6421

Russell revisited

critical reflections on the thought of Bertrand Russell


Author: Alan Schwerin

Publisher: Cambridge Scholars Publishing


Category: Philosophy

Page: 158

View: 7041

Bertrand Russell has played a central role in the development of modern western philosophy, especially analytic philosophy. An appreciation of the main themes and arguments of the thinkers who contributed to this modern movement in philosophy must include references to and analyses of Russell's important contributions. It would seem that many do recognize the significance of his thought and have shown this in a somewhat dramatic manner. Russell's Google number, for instance, is about 2.35 million. If the number of entries listed in this search engine is any indication of the level of interest online in Russell, we can surely conclude that the thought and life of this aristocratic English philosopher, logician and humanist still captures the imagination of tens of thousands, if not millions around the globe - even some thirty-seven years after his death. How do we account for this abiding interest in Russell?In a word it is accessibility. Whether it is the complex epistemological issue of the veracity of sense-data, the conundrums associated with the possibility of non-existent objects, the intricacies of the debates on the nature of language or the interminable search of a clear understanding of happiness, Russell inevitably has something profound and clear to say on the matter. Readers of "Russell Revisited: Critical Reflections on the Thought of Bertrand Russell" will be reminded of this fact time and time again as they explore the analyses here. Representing some of the best of the most recent scholarship on Russell, the articles gathered in this collection serve as a testament to the value of Russell's diverse contributions to a wide range of challenging philosophical issues.

Georg Cantor

der Jahrhundertmathematiker und die Entdeckung des Unendlichen


Author: David Foster Wallace

Publisher: N.A

ISBN: 9783492048262


Page: 407

View: 8553

British Book News


Author: N.A

Publisher: N.A


Category: Best books

Page: N.A

View: 2422

Includes no. 53a: British wartime books for young people.

Is Nature Supernatural?

A Philosophical Exploration of Science and Nature


Author: Simon L. Altmann

Publisher: Pyr Books


Category: Science

Page: 680

View: 7181

Mathematical truths are often so compelling that some mathematicians, scientists, and philosophers posit a purely nonmaterial realm of eternal truths accessible to the mind alone. Mathematical physicist Simon Altmann carefully criticizes this revival of dualistic philosophy ß la Plato in this highly stimulating book. Has mathematics and physics discovered a new supernatural world, or is this mental cosmos simply an outgrowth of natural evolutionary processes? This is the crucial philosophical issue that Altmann elucidates. Altmann provides a thorough philosophical basis to understand the meaning of natural law, the scientific method, and causality in science. He reviews the classical approach to time, space, and the laws of mechanics, and discusses the implications of relativity theory. Key modern concepts, like randomness, probability, and time's arrow are explained, and the nature of mathematics and G÷del's theorems is discussed in depth. A mystery-free treatment of quantum mechanics, Schr÷dinger's cat, and the famous Bell inequalities follows. He also assesses the reactions of various philosophical schools to these developments - idealism, physicalism, cultural relativism and social constructivism. The book concludes with a fascinating dialogue on science and belief. Educated lay readers will welcome Altmann's engaging and lucid exposition.

Anschauliche Geometrie


Author: David Hilbert,Stefan Cohn-Vossen

Publisher: Springer-Verlag

ISBN: 3662366851

Category: Mathematics

Page: 312

View: 6011

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.