An Introduction to the Language of Mathematics Mynard FredericPevná vazba
An Introduction to the Language of Mathematics Mynard FredericPevná vazba This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra…
Specifikacia An Introduction to the Language of Mathematics Mynard FredericPevná vazba
An Introduction to the Language of Mathematics Mynard FredericPevná vazba
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 then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with extensive examples. 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.
The last chapter treats infinite cardinalities. An in-depth treatment of relations, particularly equivalence and order relations completes the exposition of the basic language of mathematics. 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