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An Elementary Transition to Abstract Mathematics

Gary L Mullen author Gove Effinger author

Format:Paperback

Publisher:Taylor & Francis Ltd

Published:21st Jan '23

Currently unavailable, and unfortunately no date known when it will be back

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An Elementary Transition to Abstract Mathematics cover

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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ISBN: 9781032475172

Dimensions: unknown

Weight: 408g

292 pages