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The Mathematics Of Infinity

Author: Theodore G. Faticoni
Publisher: John Wiley & Sons
ISBN: 111824382X
Size: 27.95 MB
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Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.

Understanding Infinity

Author: Anthony Gardiner
Publisher: Courier Corporation
ISBN: 9780486425382
Size: 11.11 MB
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Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.

God And The Mathematics Of Infinity

Author: H. Chris Ransford
Publisher: Columbia University Press
ISBN: 3838270193
Size: 47.37 MB
Format: PDF, Kindle
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Drawing on the science and mathematics of infinity, H. Chris Ransford analyzes the traditional concept of godhood and reaches surprising conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God. Using mathematics, he explores key questions within this debate: for instance, why does evil exist if there is a God? The book fastidiously does not take sides nor proffers opinions, it only follows allowable mathematics wherever it leads. By doing so, it makes a major contribution to an understanding of the nature of reality.

Roads To Infinity

Author: John C. Stillwell
Publisher: CRC Press
ISBN: 1439865507
Size: 71.44 MB
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Winner of a CHOICE Outstanding Academic Title Award for 2011! This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gödel.

Eine Kleine Geschichte Der Unendlichkeit

Author: Brian Clegg
Publisher: Rowohlt Verlag GmbH
ISBN: 364404371X
Size: 58.78 MB
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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.

Levels Of Infinity

Author: Hermann Weyl
Publisher: Courier Corporation
ISBN: 0486266931
Size: 70.83 MB
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Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.

From Zero To Infinity

Author: Edwin DePaula
Publisher: WestBow Press
ISBN: 1490872280
Size: 69.54 MB
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From Zero to Infinity is an effective and practical guide to reach your goals. We all came to this world with a purpose, and this book will help you set goals to achieve your dreams and purpose from God’s perspective. From Zero to Infinity represents the author’s journey. Any person’s insatiable search for earthly goals and objectives should culminate with an encounter that leads him to eternity—the largest goal that we can ever hope to achieve: our encounter with Jesus.

The Invention Of Infinity

Author: Judith Veronica Field
Publisher: Oxford University Press, USA
ISBN: 0198523947
Size: 48.85 MB
Format: PDF
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Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.