02116cam a22001934i 4500008004100000020001800041082001700059100002400076245003700100260003200137300001600169520137300185650002501558650004501583700002701628942001201655999001901667952023601686140130s2014 flu b 001 0 eng  a978146651490400a511.36bT2U61 aTaylor, John97869410aUnderstanding mathematical proof aBoca RatonbCRC Pressc2014 axix, 394 p. aThe 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) 0aProof theory9139265 0aLogic - Symbolic and mathematical9560201 aGarnier, Rowan9317604 2ddccBK c200029d200029 00102ddc406511_360000000000000_T2U6708NFIC9335106aVSLbVSLcSlot 1356 (0 Floor, East Wing)d2015-04-29eHimanshu Book Co.,g2372.81kSlot 1356 (0 Floor, East Wing)l1o511.36 T2U6p189272r2016-04-18s2016-03-29v2966.01yBK