This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
Author(s): David Makinson (auth.)
Series: Undergraduate Topics in Computer Science
Edition: 2
Publisher: Springer-Verlag London
Year: 2012
Language: English
Commentary: Incorrect bookmarks ("fulltextXX"), no pagination
Pages: 283
Tags: Discrete Mathematics in Computer Science; Mathematical Logic and Formal Languages; Symbolic and Algebraic Manipulation; Probability and Statistics in Computer Science; Computational Mathematics and Numerical Analysis
Front Matter....Pages i-xxi
Collecting Things Together: Sets....Pages 1-25
Comparing Things: Relations....Pages 27-56
Associating One Item with Another: Functions....Pages 57-78
Recycling Outputs as Inputs: Induction and Recursion....Pages 79-111
Counting Things: Combinatorics....Pages 113-136
Weighing the Odds: Probability....Pages 137-164
Squirrel Math: Trees....Pages 165-188
Yea and Nay: Propositional Logic....Pages 189-215
Something About Everything: Quantificational Logic....Pages 217-241
Just Supposing: Proof and Consequence....Pages 243-274
Back Matter....Pages 275-283