Topics in Discrete Mathematics
by A.F. Pixley
Publisher: Harvey Mudd College 2010
Number of pages: 173
This text is intended as an introduction to a selection of topics in discrete mathematics: Combinatorics; The Integers; The Discrete Calculus; Order and Algebra; Finite State Machines. The prerequisites include linear algebra and elementary computer programming.
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This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
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Applied Finite Mathematics covers topics including linear equations, matrices, linear programming (geometrical approach and simplex method), the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
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This textbook covers the standard topics in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics. It explains and clarifies the unwritten conventions in mathematics.
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. This book will help you think well about discrete problems: problems where tools like calculus fail because there's no continuity.