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Everything and More: A Compact History of Infinity
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by
David Foster Wallace
The versatile David Foster Wallace tackles the concept of infinity, exploring its essential nature: is it simply an abstraction, or an actual mathematical entity? Wallace looks at Georg Cantor's 19th-century comments on the issue and includes his own thoughts on a question that has perplexed mathematicians for centuries.
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The Art of the Infinite: The Pleasures of Mathematics
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Robert Kaplan, Ellen Kaplan (Illustrator)
In this delightful new book, Kaplan and his wife, Ellen, once again take readers on a witty, literate, and accessible tour of the world of mathematics. Where "The Nothing That Is" looked at math through the lens of zero, "The Art of the Infinite" takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking.
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A Course of Modern Analysis
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E T Whittaker
This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.
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The Hole in the Universe: How Scientists Peered Over the Edge of Emptiness and Found Everything
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by
K C Cole
A vacuum, a void, a black hole--those things that frighten us attract our curiosity. In her accessible text, Cole, a science columnist for the Los Angeles Times, discusses the scientific nature of nothing and the current theories held by physicists.
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Theory and application of infinite series
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Konrad Knopp
Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Includes exercises.
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The Infinite Book: A Short Guide to the Boundless, Timeless and Endless
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by
John D Barrow
Infinity is surely the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Or is infinity just a label for something that is never reached, no matter how long you go on counting? Are infinities like numbers, with some bigger than others, and one ...
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Infinite sequences and series
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by
Konrad Knopp
Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.
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To Infinity and Beyond: A Cultural History of the Infinite
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by
Eli Maor
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, ...
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Where Is Here
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by
Joyce Carol Oates
This collection of stories includes "Lethal, " "Area Man Found Crucified," "The Imperial Presidency, " "Turquoise," "Biopsy," and "The Ice Pick."
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In Search of Infinity
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by
N. Ya Vilenkin, Hardy Grant (Editor), Abe Shenitzer (Translator)
The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of its foundations. The ...
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Feeding on Infinity: Readings in the Romantic Rhetoric of Internalization
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by
Professor Joshua Wilner
Notions of "internalization" play an important role in many contemporary fields of discourse, including literary history and theory, psychoanalysis, ideological critique, and learning theory in the social sciences. Indeed, the term "internalization" is pervasive and seems to answer a shared need of expression to such an extent that it is one of ...
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Ad Infinitum... the Ghost in Turing's Machine: Taking God Out of Mathematics and Putting the Body Back In. an Essay in Corporeal Semiotics
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by
Brian Rotman
This ambitious work puts forward a new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting. The author questions the familiar, classical interpretation of whole numbers held by mathematicians, and replaces it with a radical alternative. The author ...
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Infinity and the Mind: The Science and Philosophy of the Infinite
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Rudy Von B Rucker
In "Infinity and the Mind", Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past ...
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Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups
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by
John Meier
Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective on group theory - which is also useful and powerful, particularly in the study of infinite groups. This book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the ...
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Mountain gloom and mountain glory.
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by
Marjorie Hope Nicolson
Considers the intellectual renaissance at the close of the 17th century that caused the shift in the portrayals and perceptions of mountains in prose and poetry, from ugly protuberances to glorious heights. Examines various writers from the 17th, 18th, and 19th centuries, and traces both the causes
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The calculus; a genetic approach.
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by
Otto Toeplitz
When first published in 1963, more than two decades after Otto Toeplitz's death, this book presented a radically different approach to the teaching of calculus. In sharp contrast to the methods of his time, Toeplitz did not teach calculus as a static system of techniques and facts to be memorized. Instead, he drew on his knowledge of the history ...
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The Open World: Three Lectures on the Metaphysical Implications of Science
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by
Hermann Weyl
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Achilles in the Quantum Universe
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by
Richard Morris
Acclaimed science writer Richard Morris guides the reader on a literate and clearly written tour of the efforts to make sense of the mind-bending concept of the infinite. Starting with simple logical puzzles and progressing to the latest cosmological theories, he shows us how this very problem helped spawn groundbreaking theories such as ...
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Infinite series
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by
James Morton Hyslop
Intended for advanced undergraduates and graduate students, this concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, general series, series of functions, the multiplication of series, infinite products, and double series. 1959 edition.
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Uses of Infinity
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by
Leo Zippin
Intriguing, accessible approach leads to an excellent grasp of fundamental notions of infinity used in calculus, other mathematical disciplines. Numerous problems appear throughout, with solutions. 83 text figures. 1962 edition.
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The Celebration of Life: A Dialogue on Hope, Spirit, and the Immortality of the Soul
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by
Norman Cousins
For the first time in paperback, a spiritual classic from the author of the national bestseller Anatomy of an Illness, which detailed Cousins' recovery from a fatal illness using mind/body healing techniques. A Celebration of Life further examines the relationship of mind and body.
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Intimations of Infinity
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by
Jadran Mimica
This is a remarkable work which captures the reader's imagination as only few books do. From a description of the counting system of Iqwaye people of Papua New Guinea, the author develops a deeper and broader interpretation of the Iqwaye kinship system and cosmology, culminating in a powerful critique of western assumptions about the development ...
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Understanding the Infinite
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by
Shaughan Lavine
How can the infinite, a subject so remote from our finite experience, be an everyday working tool for the working mathematician? Blending history, philosophy, mathematics and logic, Shaughan Lavine answers this question with clarity. An account of the origins of the modern mathematical theory of the infinite, his book is also a defense against the ...
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The Celebration of Life: A Dialogue on Immortality and Infinity
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by
James William Cox, Norman Cousins
A complete book of sermon ideas for 1991, in one handy volume. James Cox has gathered sermons, illustrations, and other material from 250 leading preachers. "The Ministers Manual" includes: topical sermon for every Sunday - worship aids for every Sunday, including call to worship invocation, offertory sentence, offertory prayer and pastoral prayer ...
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The Infinite
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by
A W Moore
This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognise the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the ...
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