To Infinity and Beyond

A Cultural History of the Infinite

Author: Eli Maor

Publisher: Princeton University Press

ISBN: 9780691025117

Category: Mathematics

Page: 284

View: 1547

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Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama."--Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."--Science

The Pythagorean Theorem

A 4,000-Year History

Author: Eli Maor

Publisher: Princeton University Press

ISBN: 0691148236

Category: Mathematics

Page: 280

View: 3003

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The author presents a complex history of the Pythagorean Theorem, examining the earliest evidence of knowledge of the theorem to Einstein's theory of relativity.

Enaction

Toward a New Paradigm for Cognitive Science

Author: John Stewart,John Robert Stewart,Olivier Gapenne,Ezequiel A. Di Paolo

Publisher: MIT Press

ISBN: 0262014602

Category: Philosophy

Page: 463

View: 1305

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"Based on an International CNRS Summer School organized by the Association pour la Recherche Cognitive (ARC), held from 29 May to 03 June 2006, Ile d'Oleron, France"--Text.

Ideas at the Intersection of Mathematics, Philosophy, and Theology

Author: Carlos R. Bovell

Publisher: Wipf and Stock Publishers

ISBN: 1608999734

Category: Religion

Page: 142

View: 6155

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How do mathematics, philosophy, and theology intersect? In Ideas at the Intersection of Mathematics, Philosophy, and Theology, Carlos Bovell proposes a wide range of possibilities. In a series of eleven thought-provoking essays, the author explores such topics as the place of mathematics in the work of Husserl and Heidegger, the importance of infinity for the Christian conception of God, and the impact of Gšdel's Theorem on the Westminster Confession of Faith. This book will appeal to readers with backgrounds in mathematics, philosophy, and theology and can be used in core, interdisciplinary modules that contain a math component.

Clash of Symbols

A ride through the riches of glyphs

Author: Stephen Webb

Publisher: Springer

ISBN: 3319713507

Category: Science

Page: 245

View: 4436

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From the ampersat and amerpsand, via smileys and runes to the ubiquitous presence of mathematical and other symbols in sciences and technology: both old and modern documents abound with many familiar as well as lesser known characters, symbols and other glyphs. Yet, who would be readily able to answer any question like: ‘who chose π to represent the ratio of a circle’s diameter to its circumference?’ or ‘what’s the reasoning behind having a ⌘ key on my computer keyboard?’ This book is precisely for those who have always asked themselves this sort of questions. So, here are the stories behind one hundred glyphs, the book being evenly divided into five parts, with each featuring 20 symbols. Part 1, called Character sketches, looks at some of the glyphs we use in writing. Part 2, called Signs of the times, discusses some glyphs used in politics, religion, and other areas of everyday life. Some of these symbols are common; others are used only rarely. Some are modern inventions; others, which seem contemporary, can be traced back many hundreds of years. Part 3, called Signs and wonders, explores some of the symbols people have developed for use in describing the heavens. These are some of the most visually striking glyphs in the book, and many of them date back to ancient times. Nevertheless their use — at least in professional arenas — is diminishing. Part 4, called It’s Greek to me, examines some symbols used in various branches of science. A number of these symbols are employed routinely by professional scientists and are also familiar to the general public; others are no longer applied in a serious fashion by anyone — but the reader might still meet them, from time to time, in older works. The final part of the book, Meaningless marks on paper, looks at some of the characters used in mathematics, the history of which one can easily appreciate with only a basic knowledge of mathematics. There are obviously countless others symbols. In recent years the computing industry has developed Unicode and it currently contains more than 135 000 entries. This book would like to encourage the curious reader to take a stroll through Unicode, to meet many characters that will delight the eye and, researching their history, to gain some fascinating insights. ​

Leonardo

Author: International Society for the Arts, Sciences, and Technology

Publisher: N.A

ISBN: N.A

Category: Art, Modern

Page: N.A

View: 809

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International journal of contemporary visual artists.

Choice

Publication of the Association of College and Research Libraries, a Division of the American Library Association

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 9208

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The Synopticon

An Index to the Great Ideas

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Anthologies

Page: N.A

View: 1901

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Webster's New World Dictionary of Mathematics

Author: William Karush

Publisher: Macmillan General Reference

ISBN: N.A

Category: Mathematics

Page: 317

View: 372

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A compendium of standard and advanced mathematical terms and ideas, each defined by example and expository discussion

GAMMA

Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung

Author: Julian Havil

Publisher: Springer-Verlag

ISBN: 3540484965

Category: Mathematics

Page: 302

View: 5271

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Jeder kennt p = 3,14159..., viele kennen e = 2,71828..., einige i. Und dann? Die "viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156... - benannt nach dem genialen Leonhard Euler (1707-1783). Bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet die "obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identität, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wörterbüchern, elende mathematische Würmer und Jeeps in der Wüste. Besser kann man nicht über Mathematik schreiben. Was Julian Havil dazu zu sagen hat, ist spektakulär.

The Joy of x

Die Schönheit der Mathematik

Author: Steven Strogatz

Publisher: Kein & Aber AG

ISBN: 3036992693

Category: Mathematics

Page: 352

View: 6755

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Mathematik durchdringt den ganzen Kosmos. Das weiß jeder, doch nur die wenigsten verstehen die Zusammenhänge wirklich. Steven Strogatz nimmt uns bei der Hand und spaziert mit uns durch diese Welt der Weisheit, Klarheit und Eleganz. Als Reiseleiter geht er neue, erfrischende Wege, deutet auf Besonderheiten, schildert Hintergründe und erklärt die unsichtbaren Mechanismen. Wir erfahren unter anderem von dem Wunder des Zählens, der genialen Einfachheit der Algebra, dem ewigen Erbe Newtons, dem Tango mit Quadraten, der Zweisamkeit von Primzahlen und der Macht des Unendlichen. Mit all seiner Begeisterung, seinem Scharfblick und seinem leichtem Ton hat Steven Strogatz ein herrliches Buch für alle geschrieben, die ihr Verständnis von Mathematik auf eine neue Art vertiefen möchten.

Public Library Catalog

Author: Juliette Yaakov

Publisher: Hw Wilson Co

ISBN: 9780824210397

Category: Language Arts & Disciplines

Page: 1434

View: 4123

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Highly recommended reference works in all subject areas and non-fiction books for adults, plus information on electronic editions when available. More than 8,000 books in the main volume. More than 2,400 new titles in annual paperbound supplements. More than 2,000 analytic entries for items in collections and anthologies.

Eine kleine Geschichte der Unendlichkeit

Author: Brian Clegg

Publisher: Rowohlt Verlag GmbH

ISBN: 364404371X

Category: Fiction

Page: 352

View: 5391

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Philosophen und Mathematiker hat das Nachsinnen über das Wesen des Unendlichen buchstäblich den Verstand geraubt – und dennoch ist es ein Konzept, das immer wieder unser Leben bestimmt. In diesem mit Anekdoten und Geschichten gespickten Buch nimmt uns Brian Clegg mit auf eine Reise durch das Grenzland zwischen dem extrem Großen und dem Ultimativen, von Archimedes, der die Zahl der Sandkörner bestimmte, die das Universum füllen würden, bis zu den neuesten Theorien über die physikalische Realität des Unendlichen.

Jewish Mysticism

The Infinite Expression of Freedom

Author: Rachel Elior

Publisher: Littman Library of Jewish

ISBN: N.A

Category: Religion

Page: 207

View: 7352

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Mysticism, which transcends the boundaries of time and space and refers to a reality not grasped by means of ordinary human cognition, is one of the central sources of inspiration of religious thought. It is an attempt to decode the mystery of divine existence by penetrating to the depths of consciousness through language, memory, myth, and symbolism. Delving deep into the psyche,mystics strive to redeem perceived reality from its immediate meaning. Mystical texts constitute a history of this religious creativity, of man's attempt to reveal the divine structure underlying the chaos of reality and thereby endow life with hope and purpose. By offering an alternative perspective on the world that givesòexpression to yearnings for freedom and change,mysticism engenders new modes of authority and leadership; as such it plays a decisive role in moulding religious and social history. For all these reasons, the mystical corpus deserves study and discussion in the framework of cultural criticism and research. This study is a lyrical exposition of the Jewish mystical phenomenon. It is based on a close reading of the hundreds of volumes written by Jewish mystics and incorporatesòmystical testimonies drawn from the different countries and cultural environments in which Jews have lived. Rachel Elior's purpose is to present, as accurately as possible, the meanings of the mystical works as they were perceived by their creators and readers; at the same time, she contextualizes them within the boundaries of the religion, culture, language, and spiritual and historical circumstances in which the destiny of the Jewish people has evolved. The author succeeds in drawing the reader into the world of the Jewish mystic. With great intensity, she coveys the richness of the mystical experience in discovering the infinity of meaning embedded in the sacred text; teasing out the recurring themes,òshe explains the multivalent symbols. Using copious extracts from Jewish mystical sources, she illustrates the varieties of the mystical experience from antiquity to the twentieth century. She succeeds in eloquently conveying how mystics try to decipher reality by penetrating beyond its apparent boundaries: how they experience spiritual powers symbolically, imaginatively, or visually; how hidden truths are revealed in visions or dreams, in an epiphany or as 'lightning'; how they are 'engraved' in the mind or illuminate in the soul. Most of the texts Elior draws on are written in very obscure language, but the vivid translations enable her to demonstrate clearly the relationship between the revealed world and the hidden world as perceived by the mystic and also to explore the social and religious tensions that have been caused by the mystic's heightened perception of the hidden world.

Fermats letzter Satz

die abenteuerliche Geschichte eines mathematischen Rätsels

Author: Simon Singh

Publisher: N.A

ISBN: 9783423330527

Category: Fermat's last theorem

Page: 364

View: 6741

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