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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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An Elementary Transition to Abstract Mathematics (Paperback)
Loot Price: R1,533
Discovery Miles 15 330
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An Elementary Transition to Abstract Mathematics (Paperback)
Series: Textbooks in Mathematics
Expected to ship within 12 - 19 working days
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An Elementary Transition to Abstract Mathematics will help students
move from introductory courses to those where rigor and proof play
a much greater role. The text is organized into five basic parts:
the first looks back on selected topics from pre-calculus and
calculus, treating them more rigorously, and it covers various
proof techniques; the second part covers induction, sets,
functions, cardinality, complex numbers, permutations, and
matrices; the third part introduces basic number theory including
applications to cryptography; the fourth part introduces key
objects from abstract algebra; and the final part focuses on
polynomials. Features: The material is presented in many short
chapters, so that one concept at a time can be absorbed by the
student. Two "looking back" chapters at the outset (pre-calculus
and calculus) are designed to start the student's transition by
working with familiar concepts. Many examples of every concept are
given to make the material as concrete as possible and to emphasize
the importance of searching for patterns. A conversational writing
style is employed throughout in an effort to encourage active
learning on the part of the student.
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