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Introduction To Discrete Mathematics: An Oer For Ma-471, Mathieu Sassolas Oct 2021

Introduction To Discrete Mathematics: An Oer For Ma-471, Mathieu Sassolas

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The first objective of this book is to define and discuss the meaning of truth in mathematics. We explore logics, both propositional and first-order , and the construction of proofs, both formally and human-targeted. Using the proof tools, this book then explores some very fundamental definitions of mathematics through set theory. This theory is then put in practice in several applications. The particular (but quite widespread) case of equivalence and order relations is studied with detail. Then we introduces sequences and proofs by induction, followed by number theory. Finally, a small introduction to combinatorics is …


Math 220p Foundations Of Mathematics, Nicholas Vlamis Jan 2020

Math 220p Foundations Of Mathematics, Nicholas Vlamis

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No abstract provided.