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標(biāo)題: Titlebook: An Introduction to the Language of Mathematics; Frédéric Mynard Textbook 2018 Springer Nature Switzerland AG 2018 propositional logic.set [打印本頁]

作者: 小天使    時間: 2025-3-21 16:19
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作者: 投射    時間: 2025-3-22 05:42
Cardinality,d study infinite cardinalities and their surprising properties. In particular, we establish that there is an infinite increasing sequence of infinite cardinalities! We conclude with a brief and elementary discussion of issues of independence with the usual axioms, and of consistency.
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Textbook 2018ematics. The last chapter treats infinite cardinalities. An appendix gives some complement on induction and order, and another provides full solutions of the in-text exercises.?..The primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for self-study..
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作者: cloture    時間: 2025-3-23 00:28
en certain mathematical notions and thought processes.Helps.This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculus) to proof-based mathematics. It motivates the introduction of the formal language of logic and set t
作者: harpsichord    時間: 2025-3-23 05:14
Textbook 2018based mathematics. It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. It then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with exten
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https://doi.org/10.1007/978-3-030-00641-9propositional logic; set theory; proofs; mathematical induction; relations; equivalence relation; order re
作者: 背心    時間: 2025-3-23 12:28
Springer Nature Switzerland AG 2018
作者: Anecdote    時間: 2025-3-23 16:31
On Proofs and Writing Mathematics,nd elementary number theory, basic set-theory, and more. We go over direct proofs, proofs by contraposition, proofs by contradiction, the role of counterexamples, proof by induction including arguments using the well-ordering principle and smallest counterexamples. We conclude with remarks on writing mathematics.
作者: febrile    時間: 2025-3-23 18:18
Cardinality,d study infinite cardinalities and their surprising properties. In particular, we establish that there is an infinite increasing sequence of infinite cardinalities! We conclude with a brief and elementary discussion of issues of independence with the usual axioms, and of consistency.
作者: 拱形面包    時間: 2025-3-24 01:08
Rolle bei der Informationsstrukturierung,nd elementary number theory, basic set-theory, and more. We go over direct proofs, proofs by contraposition, proofs by contradiction, the role of counterexamples, proof by induction including arguments using the well-ordering principle and smallest counterexamples. We conclude with remarks on writing mathematics.
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Rolle bei der Informationsstrukturierung,In this chapter we discuss the need for a language more formal than common language to write proofs. We proceed to introduce propositional logic, quantifiers, and the basics of the language of Set Theory, including functions, one-to-one and onto functions, and their use in counting arguments.
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