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An introduction to the language of m...

Mynard, Frederic.

An introduction to the language of mathematics

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to the language of mathematicsby Frederic Mynard.
Author:	Mynard, Frederic.
Published:	Cham :Springer International Publishing :2018.
Description:	xii, 185 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Proof theory.
Online resource:	https://doi.org/10.1007/978-3-030-00641-9
ISBN:	9783030006419$q(electronic bk.)

An introduction to the language of mathematics
Mynard, Frederic.

An introduction to the language of mathematics[electronic resource] /by Frederic Mynard. - Cham :Springer International Publishing :2018. - xii, 185 p. :ill. (some col.), digital ;24 cm.

Chapter 1- The language of logic and set-theory -- Chapter 2- On proofs and writing mathematics -- Chapter 3- Relations -- Chapter 4- Cardinality -- Appendix A- Complements -- Appendix B- Solutions to exercises in the text -- Index -- Bibliography.

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.

ISBN: 9783030006419$q(electronic bk.)

Standard No.: 10.1007/978-3-030-00641-9doiSubjects--Topical Terms:

190840
Proof theory.

LC Class. No.: QA9.54 / .M963 2018

Dewey Class. No.: 511.36

An introduction to the language of mathematics
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100 1 $a Mynard, Frederic. $3 826608
245 1 3 $a An introduction to the language of mathematics $h [electronic resource] / $c by Frederic Mynard.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xii, 185 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Chapter 1- The language of logic and set-theory -- Chapter 2- On proofs and writing mathematics -- Chapter 3- Relations -- Chapter 4- Cardinality -- Appendix A- Complements -- Appendix B- Solutions to exercises in the text -- Index -- Bibliography.
520 $a 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.
650 0 $a Proof theory. $3 190840
650 1 4 $a Structures and Proofs. $3 826604
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856 4 0 $u https://doi.org/10.1007/978-3-030-00641-9
950 $a Mathematics and Statistics (Springer-11649)