Umfang:
Online-Ressource (XII, 185 Seiten)
,
Illustrationen, Diagramme
Ausgabe:
Springer eBook Collection. Mathematics and Statistics
ISBN:
9783030006419
Serie:
SpringerLink
Inhalt:
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
Inhalt:
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
Weitere Ausg.:
ISBN 9783030006402
Weitere Ausg.:
ISBN 9783030006426
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 978-3-030-00640-2
Sprache:
Englisch
DOI:
10.1007/978-3-030-00641-9
URL:
Volltext
(lizenzpflichtig)
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