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WorldCat.org

Sets and Functions: 1 Sets 2 Sets and counting 3 Functions Number Theory: 1 Prime numbers 2 Some formal aspects 3 Some formal consequences 4 Some basic properties 5 Equivalence relations 6 Congruence 7 Applications of the pigeon-hole principle 8 Waring's problem 9 Fermat and Mersenne primes Permutations: 1 The set $A(S)$ 2 Cycle decomposition 3 Even and odd 4 The interlacing shuffle 5 The Josephus permutation Bibliography Group Theory: 1 Definition and examples of groups 2 Some beginning notions and results 3 Subgroups 4 Lagrange's theorem 5 Isomorphism Finite Geometry: 1 Introduction 2 Affine planes 3 Counting arguments 4 Planes of low order 5 Coordinate affine planes 6 Parallelograms and midpoints 7 The nonexistence of planes of order 6 Suggestions for further reading Game Theory: 1 Probability 2 Mathematical expectation 3 Preliminary remarks on games 4 Examples 5 The general two-by-two game 6 Simplified poker 7 The game without a name 8 Goofspiel Suggestions for further reading Infinite Sets: 1 Infinite numbers; countable sets 2 Uncountable sets Index.

Contains same text as 1st ed. with minor additions and corrections

Suitable for courses that are designed for students who intend to teach mathematics.

Matters mathematical