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作者 Mynard, Frederic, author
書名 An introduction to the language of mathematics / by Frederic Mynard
出版項 Cham : Springer International Publishing : Imprint: Springer, 2018
國際標準書號 9783030006419 (electronic bk.)
9783030006402 (paper)
國際標準號碼 10.1007/978-3-030-00641-9 doi
book jacket
說明 1 online resource (xii, 185 pages) : illustrations (some color), digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
附註 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
Host Item Springer eBooks
主題 Proof theory
Structures and Proofs
Alt Author SpringerLink (Online service)
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