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Titlebook: A Logical Introduction to Proof; Daniel W. Cunningham Textbook 2013 Springer Science+Business Media New York 2013 Assumption Strategies.Lo

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发表于 2025-3-21 18:11:15 | 显示全部楼层 |阅读模式
期刊全称A Logical Introduction to Proof
影响因子2023Daniel W. Cunningham
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发行地址Identifies the important topics in logic that mathematicians use in their proofs.Methodically presents the key strategies used in mathematical proofs.Each proof strategy is illustrated by a variety of
图书封面Titlebook: A Logical Introduction to Proof; Daniel W. Cunningham Textbook 2013 Springer Science+Business Media New York 2013 Assumption Strategies.Lo
影响因子The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.
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https://doi.org/10.1007/1-4020-4198-5ition of two functions is also defined and discussed. Given a subset of the domain (co-domain) of a function, the image (inverse image) of this subset is also presented. The last section in this chapter covers Cantor’s early work on the “size of infinite sets.”
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Literatur und Auswanderung am Wendepunkt statements. The basic laws of quantifiers and negation are addressed. The notion of uniqueness is discussed and illustrated. Finally, we identify four inference rules of predicate logic that are regularly used in mathematical proofs.
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https://doi.org/10.1007/978-3-476-03606-3es and summation notation, we carefully show the reader how to correctly use the induction proof strategy. The final sections focus on recursive definitions and proof by strong induction. The chapter ends with a proof of the fundamental theorem of arithmetic.
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