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Partial table of contents: SETS AND ALGORITHMS: AN INTRODUCTION. Binary Arithmetic and the Magic Trick Revisited. Algorithms. Set Theory and the Magic Trick. Set Cardinality and Counting. ARITHMETIC. Exponentiation: A First Look. Three Inductive Proofs. How Good Is Fast Exponentiation? The ``Big Oh'' Notation. ARITHMETIC OF SETS. Binomial Coefficients. Permutations. The Binomial Theorem. NUMBER THEORY. Greatest Common Divisors. The Euclidean Algorithm. Fibonacci Numbers. Congruences and Equivalence Relations. An Application: Public Key Encryption Schemes. GRAPH THEORY. Building the LAN. Graphs. Trees and the LAN. Graphical Highlights. Index.