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University studies in computing require the ability to pass from a concrete problem to an abstract representation, reason with the abstract structure, and return with useful solutions to the specific situation.
The tools for developing these skills are in part qualitative concepts such as set, relation, function, and structures such as trees and well-founded orders. They are also in part quantitative notably elementary combinatorics and finite probability. Recurring in all of these are instruments of proof, both purely logical ones (such as proof by contradiction) and mathematical (the various forms of induction).
Features: Explains the basic mathematical tools required by students as they set out in their studies of Computer or Information Science Explores the interplay between qualitative thinking and calculation Teaches the material as a language for thinking, as much as knowledge to be acquired Uses an intuitive approach with a focus on examples for all general concepts Provides numerous exercises, solutions and proofs to deepen and test the reader s understanding Includes highlight boxes that raise common queries and clear away confusions Tandems with additional electronic resources including slides on author's website
This easy-to-follow text allows readers to carry out their computing studies with a clear understanding of the basic finite mathematics and logic that they will need. Written explicitly for undergraduates, it requires only a minimal mathematical background and is ideal for self-study as well as classroom use.
List of contents
Collecting Things Together: Sets.- Comparing Things: Relations.- Associating One Item with Another: Functions.- Recycling Outputs as Inputs: Induction and Recursion.- Counting Things: Combinatorics.- Weighing the Odds: Probability.- Squirrel Math: Trees.- Yea and Nay: Propositional Logic.- Something about Everything: Quantificational Logic.
About the author
Dr. David Makinson is a Visiting Professor in the Department of Philosophy, Logic and Scientific Method at the London School of Economics, UK.
Report
From the reviews: "The book covers the very basic concepts of sets, relations, functions, induction and recursion, combinatorics, probability, trees, propositional logic, and elementary concepts of predicate logic. The text is easy to read, and the concepts are presented in an understandable way using many examples. The book contains exercises with solutions, gives several further exercises, and hints for further selected reading. the book is recommended for undergraduates as a very first introduction to the basic ideas of finite mathematics and logic." (D. Seese, ACM Computing Reviews, January, 2009)
