David Makinson (auth.)1846288444, 9781846288449, 1846288452, 9781846288456
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
http://david.c.makinson.googlepages.com
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.
Table of contents :
Front Matter….Pages i-xv
Collecting Things Together: Sets….Pages 1-28
Comparing Things: Relations….Pages 29-62
Associating One Item with Another: Functions….Pages 63-86
Recycling Outputs as Inputs: Induction and Recursion….Pages 87-121
Counting Things: Combinatorics….Pages 123-152
Weighing the Odds: Probability….Pages 153-187
Squirrel Math: Trees….Pages 189-217
Yea and Nay: Propositional Logic….Pages 219-264
Something about Everything: Quantificational Logic….Pages 265-296
Back Matter….Pages 297-301
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