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 settheory  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 techniquebased mathematics (such as Algebra and Calculus) to proofbased 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 indepth 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 intext exercises. The primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for selfstudy 
Host Item 
Springer eBooks

主題 
Proof theory


Structures and Proofs

Alt Author 
SpringerLink (Online service)

