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Invitation to Discrete Mathematics (Paperback, 2nd Revised edition)
Loot Price: R2,466
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Invitation to Discrete Mathematics (Paperback, 2nd Revised edition)
Expected to ship within 12 - 19 working days
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This second edition of Invitation to Discrete Mathematics is a
clear and self-contained introduction to discrete mathematics.
Aimed mainly at undergraduate and early graduate students of
mathematics and computer science, it is written with the goal of
stimulating interest in mathematics and an active, problem-solving
approach to the presented material. The reader is led to an
understanding of the basic principles and methods of actually doing
mathematics (and having fun at that). By focussing on a more
selective range of topics than many discrete mathematics textbooks,
allowing greater depth of treatment using a number of different
approaches, the book reflects the conviction of the authors, active
and internationally renowned mathematicians, that the most
important gain from studying mathematics is the cultivation of
clear and logical thinking and habits useful for attacking new
problems. More than 400 enclosed exercises with a wide range of
difficulty, many of them accompanied by hints for solution, support
this approach to teaching. The readers will appreciate the lively
and informal style of the text accompanied by more than 200
drawings and diagrams. Specialists in various parts of science with
a basic mathematical education wishing to apply discrete
mathematics in their field can use the book as a useful source, and
even experts in combinatorics may occasionally learn from pointers
to research literature or from presentations of recent results.
Invitation to Discrete Mathematics should make delightful reading
both for beginners and for mathematical professionals. The main
topics include: elementary counting problems, asymptotic estimates,
partially ordered sets, basic graph theory and graph algorithms,
finite projective planes, elementary probability and the
probabilistic method, generating functions, Ramsey's theorem, and
combinatorial applications of linear algebra. General mathematical
notions going beyond the high-school level are thoroughly explained
in the introductory chapter. An appendix summarizes the
undergraduate algebra needed in some of the more advanced sections
of the book.
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