An Introduction to the Language of Mathematics is popular PDF and ePub book, written by Frédéric Mynard in 2018-11-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Introduction to the Language of Mathematics can be Read Online from any device for your convenience.
An Introduction to the Language of Mathematics Book PDF Summary
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 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 extensive examples. An in-depth treatment of relations, particularly equivalence and order relations completes the exposition of the basic language of mathematics. 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.
Detail Book of An Introduction to the Language of Mathematics PDF
- Author : Frédéric Mynard
- Release : 24 November 2018
- Publisher : Springer
- ISBN : 9783030006419
- Genre : Mathematics
- Total Page : 185 pages
- Language : English
- PDF File Size : 10,7 Mb
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