Here is a first-year course in discrete mathematics, requiring no calculus or computer programming experience, for students on computer science and mathematics courses. The approach stresses finding efficient algorithms, rather than existential results. It provides an introduction to constructing proofs (especially by induction), and an introduction to algorithmic problem solving. All algorithms are presented in English, in a format compatible with the PASCAL programming language. The text contains many exercises, with answers at the back of the book (detailed solutions being supplied for difficult problems).
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Für höhere Schule und Studium
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ISBN-13
978-0-471-84902-5 (9780471849025)
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Schweitzer Klassifikation
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.
