0521861241
IR
EN-53364
انگلیسی
IR
How to prove it :
[Book]
:a structured approach
/ Daniel J. Velleman
2nd ed.
New York
: Cambridge University Press,
, 2006.
xiii, 384 p. , ill. , 24 cm.
First ed.: 1994.
Electronic
Includes bibliographical references (p. 375) and index.
"This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs." "The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed "scratch work" sections to expose the machinery of proofs for the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains more than 200 new exercises, selected solutions, and an introduction to Proof Designer software." "No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians."--BOOK JACKET.
1. Sentential logic -- 2. Quantificational logic -- 3. Proofs -- 4. Relations -- 5. Functions -- 6. Mathematical induction -- 7. Infinite sets.
Logic, Symbolic and mathematical
Mathematics
E-BOOK
Velleman, Daniel J.
ایران
0521675995.pdf
عادی
عادی
0521675995.pdf
متن
old catalog
e
BL
1
a
Y
