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

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S. Shen 作者

American Mathematical Society

译者

2002-07-09 出版日期

128 页数

USD 51.00 价格

Paperback

Student Mathematical Library 丛书系列

9780821827314 图书编码

Basic Set Theory (Student Mathematical Library, V. 17) 在线电子书图书标签: 数理逻辑7 SetTheory Mathematics

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

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

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习题是正文的一部分不用挨个做但一定要挨个看

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习题是正文的一部分不用挨个做但一定要挨个看

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习题是正文的一部分不用挨个做但一定要挨个看

Basic Set Theory (Student Mathematical Library, V. 17) 在线电子书著者简介

A. Shen: Independent University of Moscow, Russia,

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

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

Basic Set Theory (Student Mathematical Library, V. 17) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Basic Set Theory (Student Mathematical Library, V. 17) 在线电子书图书描述

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.

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