TY  - BOOK
AU  - Beck,Matthias
AU  - Geoghegan,Ross
TI  - The Art of Proof: Basic Training for Deeper Mathematics 
T2  - Undergraduate texts in mathematics,
SN  - 9781441970220 (acidfree paper)
AV  - QA9.54 .B43 2010
U1  - 511.36 B388A 23
PY  - 2010///
CY  - New York
PB  - Springer
KW  - Proof theory
KW  - Mathematics
KW  - Study and teaching
N1  - Includes index; The discrete -- Integers -- Natural numbers and induction -- Some points of logic -- Recursion -- underlying notions in set theory -- Equivalence relations and modular arithmetic -- Arithmetic in base ten -- The continuous -- Real numbers -- Embedding Z in R -- Limits and other consequences of completeness -- Rational and irrational numbers -- Decimal expansions -- Cardinality -- Final remarks
ER  -