01883cam a22001814i 4500
140130s2014 flu b 001 0 eng
9781466514904
511.36
T2U6
Taylor, John
78694
Understanding mathematical proof
Boca Raton
CRC Press
2014
xix, 394 p.
The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.
Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techniques that mathematicians adopt to prove their results, and offers advice and strategies for constructing proofs. It will improve students’ ability to understand proofs and construct correct proofs of their own. The first chapter of the text introduces the kind of reasoning that mathematicians use when writing their proofs and gives some example proofs to set the scene. The book then describes basic logic to enable an understanding of the structure of both individual mathematical statements and whole mathematical proofs. It also explains the notions of sets and functions and dissects several proofs with a view to exposing some of the underlying features common to most mathematical proofs. The remainder of the book delves further into different types of proof, including direct proof, proof using contrapositive, proof by contradiction, and mathematical induction. The authors also discuss existence and uniqueness proofs and the role of counter examples(http://www.crcpress.com/product/isbn/9781466514904)
Proof theory
139265
Logic - Symbolic and mathematical
56020
Garnier, Rowan
317604
ddc
BK
200029
200029
0
0
ddc
0
511_360000000000000_T2U6
0
NFIC
335106
VSL
VSL
Slot 1356 (0 Floor, East Wing)
2015-04-29
Himanshu Book Co.,
2372.81
Slot 1356 (0 Floor, East Wing)
1
511.36 T2U6
189272
2016-04-18
2016-03-29
2966.01
BK