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Titlebook: An Introduction to Proofs with Set Theory; Daniel Ashlock,Colin Lee Book 2020 Springer Nature Switzerland AG 2020

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发表于 2025-3-21 16:27:03 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Proofs with Set Theory
影响因子2023Daniel Ashlock,Colin Lee
视频videohttp://file.papertrans.cn/156/155439/155439.mp4
学科分类Synthesis Lectures on Mathematics & Statistics
图书封面Titlebook: An Introduction to Proofs with Set Theory;  Daniel Ashlock,Colin Lee Book 2020 Springer Nature Switzerland AG 2020
影响因子.This text is intended as an introduction to mathematical proofs for students.. It is distilled from the lecture notes for a course focused on set theory subject matter as a means of teaching proofs. Chapter 1 contains an introduction and provides a brief summary of some background material students may be unfamiliar with. Chapters 2 and 3 introduce the basics of logic for students not yet familiar with these topics. Included is material on Boolean logic, propositions and predicates, logical operations, truth tables, tautologies and contradictions, rules of inference and logical arguments. Chapter 4 introduces mathematical proofs, including proof conventions, direct proofs, proof-by-contradiction, and proof-by-contraposition. Chapter 5 introduces the basics of naive set theory, including Venn diagrams and operations on sets. Chapter 6 introduces mathematical induction and recurrence relations. Chapter 7 introduces set-theoretic functions and covers injective, surjective, and bijective functions, as well as permutations. Chapter 8 covers the fundamental properties of the integers including primes, unique factorization, and Euclid‘s algorithm. Chapter 9 is an introduction to combinat
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发表于 2025-3-21 23:13:37 | 显示全部楼层
https://doi.org/10.1007/978-3-0348-6225-7ue in one case and then also prove that if it is true in a given case it is true in the next case. This then permits the cases for which the statement is true to cascade from the initial true case, like knocking down a row of dominos.
发表于 2025-3-22 00:49:01 | 显示全部楼层
Die Option für den Totalen Führerstaatpter seeks to provide a solid introduction to the subject matter for students first encountering axiomatic set theory it is by no means the most exhaustive or authoritative text. Students interested in a more comprehensive discussion of axiomatic set theory will find . by Robert R. Stoll an excellent resource.
发表于 2025-3-22 05:17:26 | 显示全部楼层
Die Weltstadte als Konsumzentren,e, or size, of different sorts of infinite sets of numbers. His line of research led to the conclusion that there are all sorts of different types of infinities. Ultimately, thanks to the contributions of a variety of other mathematicians, set theory led to a solid logical foundation for mathematics
发表于 2025-3-22 11:06:58 | 显示全部楼层
https://doi.org/10.1007/978-3-322-83840-7gic, which studies the principles of valid reasoning, has been around since at the very least ancient Babylon. However, some of the logic which is commonly encountered in modern society has only been around for a surprisingly short period of time. Boolean logic, invented by George Boole (1815-1864),
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https://doi.org/10.1007/978-3-0348-6225-7ue in one case and then also prove that if it is true in a given case it is true in the next case. This then permits the cases for which the statement is true to cascade from the initial true case, like knocking down a row of dominos.
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