Numbers, Sets and Axioms 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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A. G. Hamilton 作者

Cambridge University Press

译者

1983-01-28 出版日期

268 页数

USD 50.00 价格

Paperback

丛书系列

9780521287616 图书编码

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Numbers, Sets and Axioms 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.

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