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


Basic Set Theory (Student Mathematical Library, V. 17)

简体网页||繁体网页
S. Shen
American Mathematical Society
2002-07-09
128
USD 51.00
Paperback
Student Mathematical Library
9780821827314

图书标签: 数理逻辑7  SetTheory  Mathematics   


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发表于2024-11-23

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

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

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



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) 下载 mobi epub pdf txt 电子书

著者简介

A. Shen: Independent University of Moscow, Russia,

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


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