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Introduction to Mathematical Proofs (Hardcover, 2nd edition)
Loot Price: R3,035
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Introduction to Mathematical Proofs (Hardcover, 2nd edition)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
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Introduction to Mathematical Proofs helps students develop the
necessary skills to write clear, correct, and concise proofs.
Unlike similar textbooks, this one begins with logic since it is
the underlying language of mathematics and the basis of reasoned
arguments. The text then discusses deductive mathematical systems
and the systems of natural numbers, integers, rational numbers, and
real numbers. It also covers elementary topics in set theory,
explores various properties of relations and functions, and proves
several theorems using induction. The final chapters introduce the
concept of cardinalities of sets and the concepts and proofs of
real analysis and group theory. In the appendix, the author
includes some basic guidelines to follow when writing proofs. This
new edition includes more than 125 new exercises in sections titled
More Challenging Exercises. Also, numerous examples illustrate in
detail how to write proofs and show how to solve problems. These
examples can serve as models for students to emulate when solving
exercises. Several biographical sketches and historical comments
have been included to enrich and enliven the text. Written in a
conversational style, yet maintaining the proper level of
mathematical rigor, this accessible book teaches students to reason
logically, read proofs critically, and write valid mathematical
proofs. It prepares them to succeed in more advanced mathematics
courses, such as abstract algebra and analysis.
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