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Theory of Sets

Posted By: AvaxGenius
Date: 29 Jul 2023 15:40:48
Theory of Sets

Theory of Sets by Nicolas Bourbaki
English | PDF | 2004 | 418 Pages | ISBN : 3540225250 | 35.3 MB

This series of volumes, a list of which is given on pages vn and VIU, takes up mathematics at the beginning, and gives complete proofs. In principle, it requires no particular knowledge of mathematics on the reader's part, but only a certain familiarity with mathematical reasoning and a certain capacity for abstract thought. Nevertheless, it is directed especially to those who have a good knowledge of at least the content of the first year or two of a university mathematics course.
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Extremal Problems for Finite Sets (Repost)

Posted By: DZ123
Date: 8 Sep 2022 18:56:12
Extremal Problems for Finite Sets (Repost)

Peter Frankl, Norihide Tokushige, "Extremal Problems for Finite Sets"
English | 2018 | ISBN: 1470440393 | PDF | pages: 234 | 1.1 mb
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Elements of Logic via Numbers and Sets

Posted By: AvaxGenius
Date: 11 Jul 2022 03:41:31
Elements of Logic via Numbers and Sets

Elements of Logic via Numbers and Sets by D. L. Johnson
English | PDF | 1998 | 179 Pages | ISBN : 3540761233 | 11.2 MB

In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs.
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Sets, Logic and Categories

Posted By: AvaxGenius
Date: 10 Jul 2022 04:11:44
Sets, Logic and Categories

Sets, Logic and Categories by Peter J. Cameron
English | PDF | 1998 | 191 Pages | ISBN : 1852330562 | 14.8 MB

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
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Sets, Functions and Logic: Basic concepts of university mathematics

Posted By: AvaxGenius
Date: 9 Jul 2022 02:46:38
Sets, Functions and Logic: Basic concepts of university mathematics

Sets, Functions and Logic: Basic concepts of university mathematics by Keith J. Devlin
English | PDF | 1981 | 99 Pages | ISBN : 041222660X | 3.6 MB

The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course.
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