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An Elementary Transition to Abstract Mathematics

Gove Effinger

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Hardback
28 October 2019
$231.00
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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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    $231.00
    Ships in 3-5 business days
    Hurry up! Current stock:

    An Elementary Transition to Abstract Mathematics

    $231.00

    Description

    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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