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The Art of Proof - Basic Training for Deeper Mathematics (Paperback, Softcover reprint of the original 1st ed. 2010)
Loot Price: R1,108
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The Art of Proof - Basic Training for Deeper Mathematics (Paperback, Softcover reprint of the original 1st ed. 2010)
Series: Undergraduate Texts in Mathematics
Expected to ship within 10 - 15 working days
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The Art of Proof is designed for a one-semester or two-quarter
course. A typical student will have studied calculus (perhaps also
linear algebra) with reasonable success. With an artful mixture of
chatty style and interesting examples, the student's previous
intuitive knowledge is placed on solid intellectual ground. The
topics covered include: integers, induction, algorithms, real
numbers, rational numbers, modular arithmetic, limits, and
uncountable sets. Methods, such as axiom, theorem and proof, are
taught while discussing the mathematics rather than in abstract
isolation. The book ends with short essays on further topics
suitable for seminar-style presentation by small teams of students,
either in class or in a mathematics club setting. These include:
continuity, cryptography, groups, complex numbers, ordinal number,
and generating functions.
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