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Books > Social sciences > Education > Study & learning skills
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The Practice of Mathematics - An Introduction to Proof Techniques and Number Systems (Paperback)
Loot Price: R4,093
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The Practice of Mathematics - An Introduction to Proof Techniques and Number Systems (Paperback)
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The Practice of Mathematics: An Introduction to Proof Techniques
and Number Systems is designed to help students prepare for
higher-level mathematics courses through an introduction to the
methods and practices of logic and proof. The book uses the
development of set theory and the number systems as a framework for
the introduction of the various proof techniques. As students study
proof techniques, they learn about basic set theory, natural
numbers, integers, rational numbers, and real numbers. Within each
chapter, ideas critical to the number systems are expanded to
motivate the study of more advanced topics. In this way, students
are exposed to basic ideas and concepts in modern algebra, graph
theory, combinatorics, real analysis, and topology. Additionally,
the text serves as an introduction to mathematics as a profession,
covering mathematical disciplines, professional activities, and
mathematical software. It includes a large variety of exercises
that range from easy to difficult and serve to instill key concepts
and provide students with opportunities for practical application.
Emphasizing the simultaneous development of proof techniques within
the content of set theory and the number systems, The Practice of
Mathematics is an exemplary resource for students pursuing an
undergraduate degree in mathematics.
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