Basic Set Theory (Student Mathematical Library, V. 17) 2024 pdf epub mobi 电子书

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Basic Set Theory (Student Mathematical Library, V. 17) 2024 pdf epub mobi 电子书著者简介

A. Shen: Independent University of Moscow, Russia,

N. K. Vereshchagin: Moscow State Lomonosov University, Moscow, Russia

Basic Set Theory (Student Mathematical Library, V. 17) 电子书图书目录

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发表于2024-11-28

Basic Set Theory (Student Mathematical Library, V. 17) 2024 pdf epub mobi 电子书

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出版者:American Mathematical Society

作者:S. Shen

出品人:

页数:128

译者:

出版时间:2002-07-09

价格:USD 51.00

装帧:Paperback

isbn号码:9780821827314

丛书系列:Student Mathematical Library

图书标签: 数理逻辑7 SetTheory Mathematics

Basic Set Theory (Student Mathematical Library, V. 17) 2024 pdf epub mobi 电子书图书描述

The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own leisurely treatment.

This book provides just that: a leisurely exposition for a diversified audience. It is suitable for a broad range of readers, from undergraduate students to professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma.

The text introduces all main subjects of "naive" (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, transfinite induction and its applications, ordinals, and operations on ordinals. Included are discussions and proofs of the Cantor-Bernstein Theorem, Cantor's diagonal method, Zorn's Lemma, Zermelo's Theorem, and Hamel bases. With over 150 problems, the book is a complete and accessible introduction to the subject.

Basic Set Theory (Student Mathematical Library, V. 17) 2024 pdf epub mobi 电子书

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