Mathematics of Choice

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Release : 1965
Genre : Mathematics
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Book Rating : 158/5 ( reviews)

Mathematics of Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of Choice write by Ivan Niven. This book was released on 1965. Mathematics of Choice available in PDF, EPUB and Kindle.

Mathematics of Social Choice

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Release : 2010-01-01
Genre : Political Science
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Book Rating : 620/5 ( reviews)

Mathematics of Social Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of Social Choice write by Christoph Borgers. This book was released on 2010-01-01. Mathematics of Social Choice available in PDF, EPUB and Kindle. Mathematics of Social Choice is a fun and accessible book that looks at the choices made by groups of people with different preferences, needs, and interests. Divided into three parts, the text first examines voting methods for selecting or ranking candidates. A brief second part addresses compensation problems wherein an indivisible item must be assigned to one of several people who are equally entitled to ownership of the item, with monetary compensation paid to the others. The third part discusses the problem of sharing a divisible resource among several people. Mathematics of Social Choice can be used by undergraduates studying mathematics and students whose only mathematical background is elementary algebra. More advanced material can be skipped without any loss of continuity. The book can also serve as an easy introduction to topics such as the Gibbard-Satterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background.

The Axiom of Choice

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Release : 2008-01-01
Genre : Mathematics
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Book Rating : 248/5 ( reviews)

The Axiom of Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Axiom of Choice write by Thomas J. Jech. This book was released on 2008-01-01. The Axiom of Choice available in PDF, EPUB and Kindle. Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.

Axiom of Choice

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Release : 2006-07-21
Genre : Mathematics
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Book Rating : 680/5 ( reviews)

Axiom of Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Axiom of Choice write by Horst Herrlich. This book was released on 2006-07-21. Axiom of Choice available in PDF, EPUB and Kindle. AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.

Zermelo’s Axiom of Choice

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 783/5 ( reviews)

Zermelo’s Axiom of Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Zermelo’s Axiom of Choice write by G.H. Moore. This book was released on 2012-12-06. Zermelo’s Axiom of Choice available in PDF, EPUB and Kindle. This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.