Gordon J. Pace, "Mathematics of Discrete Structures for Computer Science"
English | ISBN: 3642298397 | 2012 | 309 pages | PDF | 3 MB
English | ISBN: 3642298397 | 2012 | 309 pages | PDF | 3 MB
Book Description :
Mathematics
plays a key role in computer science, some researchers would consider
computers as nothing but the physical embodiment of mathematical
systems. And whether you are designing a digital circuit, a computer
program or a new programming language, you need mathematics to be able
to reason about the design -- its correctness, robustness and
dependability. This book covers the foundational mathematics necessary
for courses in computer science. The common approach to presenting
mathematical concepts and operators is to define them in terms of
properties they satisfy, and then based on these definitions develop
ways of computing the result of applying the operators and prove them
correct. This book is mainly written for computer science students, so
here the author takes a different approach: he starts by defining ways
of calculating the results of applying the operators and then proves
that they satisfy various properties. After justifying his underlying
approach the author offers detailed chapters covering propositional
logic, predicate calculus, sets, relations, discrete structures,
structured types, numbers, and reasoning about programs. The book
contains chapter and section summaries, detailed proofs and many
end-of-section exercises -- key to the learning process. The book is
suitable for undergraduate and graduate students, and although the
treatment focuses on areas with frequent applications in computer
science, the book is also suitable for students of mathematics and
engineering.
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