Titlebook: Introduction to Discrete Mathematics via Logic and Proof; Calvin Jongsma Textbook 2019 Springer Nature Switzerland AG 2019 Sentential logi

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旁观者

Introduction to Discrete Mathematics via Logic and Proof978-3-030-25358-5Series ISSN 0172-6056 Series E-ISSN 2197-5604

gimmick

https://doi.org/10.1007/978-3-030-25358-5Sentential logic; Propositional logic; Predicate logic; Mathematical induction; Peano arithmetic; Set the

安心地散步

habile

Posets, Lattices, and Boolean Algebra, and its physical realization in logic circuits. Boolean functions are next introduced, and their minterm representations are explored. The chapter concludes by looking at the standard techniques for simplifying Boolean functions—K-Maps and the Quine-McCluskey Method.

平淡而无味

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Functions and Equivalence Relations,—in the construction of . as a set of equivalence classes of ., and in the construction of ., the integers modulo .. The next chapter continues the discussion of relations but considers other types that are also of importance to discrete mathematics and computer science.

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Basic Set Theory and Combinatorics, (Chapter 1) are demonstrated, and applications are made to binomial expansion, discrete probability, and everyday counting. The material on . also provides the theoretical foundation for topics later in the text on infinite sets (Chapter 5), functions (Chapter 6), and relations (Chapters 6 and 7).