Euclid's Elements Book One with Questions for Discussion


Author: Dana Densmore
Publisher: N.A
ISBN: 9781888009460
Category: Mathematics
Page: 102
View: 8700

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Presents Book One of Euclid's Elements for students in humanities and for general readers. This treatment raises deep questions about the nature of human reason and its relation to the world. Dana Densmore's Questions for Discussion are intended as examples, to urge readers to think more carefully about what they are watching unfold, and to help them find their own questions in a genuine and exhilarating inquiry.

The Middle East and Islamic World Reader


Author: Marvin E. Gettleman,Stuart Schaar
Publisher: Open Road + Grove/Atlantic
ISBN: 0802194524
Category: Religion
Page: 416
View: 3096

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“The many facets of Middle Eastern history and politics are admirably represented in this far-ranging anthology” (Publishers Weekly). In this insightful anthology, historians Marvin E. Gettleman and Stuart Schaar have assembled a broad selection of documents and contemporary scholarship to give a view of the history of the peoples from the core Islamic lands, from the Golden Age of Islam to today. With carefully framed essays beginning each chapter and brief introductory notes accompanying over seventy readings, the anthology reveals the multifaceted societies and political systems of the Islamic world. Selections range from theological texts illuminating the differences between Shiite and Sunni Muslims, to diplomatic exchanges and state papers, to memoirs and literary works, to manifestos of Islamic radicals. This newly revised and expanded edition covers the dramatic changes in the region since 2005, and the popular uprisings that swept from Tunisia in January 2011 through Egypt, Libya, and beyond. The Middle East and Islamic World Reader is a fascinating historical survey of complex societies that—now more than ever—are crucial for us to understand. “Ambitious . . . A timely work, it focuses mainly on sociopolitical texts dating from the rise of Islam to the debates concerning U.S. foreign policy in the post-9/11 world.” —Choice

The Athenaeum

Journal of Literature, Science, the Fine Arts, Music and the Drama
Author: N.A
Publisher: N.A
ISBN: N.A
Category: England
Page: N.A
View: 5920

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A Mathematical History of the Golden Number


Author: Roger Herz-Fischler
Publisher: Courier Corporation
ISBN: 0486152324
Category: Mathematics
Page: 224
View: 9980

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This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.

The Structure of Being

A Neoplatonic Approach
Author: International Society for Neoplatonic Studies
Publisher: SUNY Press
ISBN: 9780873955331
Category: Philosophy
Page: 187
View: 2804

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Neoplatonism has sometimes been seen as a species of mysticism. This volume shows that Neoplatonism has, on the contrary, a characteristic and definable structure. It presents the logic of Neoplatonism and carefully distinguishes it from the logic of other forms of philosophy.

The thirteen books of Euclid's Elements


Author: Euclid,Thomas L. Heath
Publisher: Dover Pubns
ISBN: N.A
Category: Mathematics
Page: 443
View: 6935

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Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

Analysis and Science in Aristotle


Author: Patrick Hugh Byrne
Publisher: SUNY Press
ISBN: 9780791433218
Category: Philosophy
Page: 303
View: 5466

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Presents a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, and argues that to "loose up"or solve -- rather than to reduce or break up -- is the principle meaning which best characterizes the Analytics. Offering a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, Patrick H. Byrne argues that a non-deductive form of ancient mathematical analysis influenced Aristotle's thinking. Reading the Analytics with this perspective in mind sheds new light on Aristotle's theories of the syllogism, demonstration, and the principles of science. The book begins with a brief survey of ancient geometrical analysis and an investigation of Aristotle's uses of the Greek term, analuein. Byrne argues that "to loose up" or solve -- rather than to reduce or break up -- is the principal meaning which best characterizes Aristotle's Analytics. Extending this line of reasoning, he argues that for Aristotle scientific analysis commonly begins with knowledge of a "mere fact" (a conclusion) and seeks a rigorous demonstration which expresses knowledge of the "reasoned fact". Moreover, genuine analysis of a fact into a reasoned fact cannot be accomplished unless the premises of demonstrations are themselves reasoned facts. Hence the processes which yield the immediate principles (especially definitions) are next investigated through detailed examinations of key examples which Aristotle provides.

The Fate of Place

A Philosophical History
Author: Edward Casey
Publisher: Univ of California Press
ISBN: 0520954564
Category: Philosophy
Page: 512
View: 4129

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In this imaginative and comprehensive study, Edward Casey, one of the most incisive interpreters of the Continental philosophical tradition, offers a philosophical history of the evolving conceptualizations of place and space in Western thought. Not merely a presentation of the ideas of other philosophers, The Fate of Place is acutely sensitive to silences, absences, and missed opportunities in the complex history of philosophical approaches to space and place. A central theme is the increasing neglect of place in favor of space from the seventh century A.D. onward, amounting to the virtual exclusion of place by the end of the eighteenth century. Casey begins with mythological and religious creation stories and the theories of Plato and Aristotle and then explores the heritage of Neoplatonic, medieval, and Renaissance speculations about space. He presents an impressive history of the birth of modern spatial conceptions in the writings of Newton, Descartes, Leibniz, and Kant and delineates the evolution of twentieth-century phenomenological approaches in the work of Husserl, Merleau-Ponty, Bachelard, and Heidegger. In the book's final section, Casey explores the postmodern theories of Foucault, Derrida, Tschumi, Deleuze and Guattari, and Irigaray.

Untersuchungen über höhere Arithmetik


Author: Carl Friedrich Gauss
Publisher: American Mathematical Soc.
ISBN: 0821842137
Category: Mathematics
Page: 695
View: 2811

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In this volume are included all of Gauss's number-theoretic works: his masterpiece, Disquisitiones Arithmeticae, published when Gauss was only 25 years old; several papers published during the ensuing 31 years; and papers taken from material found in Gauss's handwriting after his death. These papers include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, researches on biquadratic residues, quadratic forms, and other topics. This reprint of the German translation from Latin of the second edition published in 1889 includes an extensive appendix and concludes with a commentary on the papers (with references, where appropriate, to the relevant pages of the Disquisitiones).

A History of Mathematics

An Introduction
Author: Victor J. Katz
Publisher: Addison Wesley
ISBN: N.A
Category: Mathematics
Page: 879
View: 9129

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Provides a world view of mathematics, balancing ancient, early modern and modern history. Problems are taken from their original sources, enabling students to understand how mathematicians in various times and places solved mathematical problems. In this new edition a more global perspective is taken, integrating more non-Western coverage including contributions from Chinese/Indian, and Islamic mathematics and mathematicians. An additional chapter covers mathematical techniques from other cultures. *Up to date, uses the results of very recent scholarship in the history of mathematics. *Provides summaries of the arguments of all important ideas in the field.