Description

Book Synopsis
Introduces the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students who are looking for an entry into discrete mathematics, induction and recursion, groups and symmetry, and plane geometry.

Table of Contents
  • Logic and proofs
  • An introduction to sets
  • The integers
  • Mappings and relations
  • Induction and recursion
  • Binary operations
  • Groups
  • Divisibility and congruences
  • Primes
  • Multiplicative inverses of residue classes
  • Linear transformations
  • Isomorphism
  • The symmetric group
  • Examples of finite groups
  • Cosets
  • Homomorphisms
  • Group actions
  • Euclidean geometry
  • Euler's formula
  • Index

    Sets Groups and Mappings An Introduction to

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      A Hardback by Andrew D. Hwang

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        Book details

        Publisher American Mathematical Society
        Published 30 October 2019
        ISBN-13 9781470449322
        978-1470449322
        ISBN-10 1470449323
        Also in:
        Algebraic geometry

        Description

        Book Synopsis
        Introduces the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students who are looking for an entry into discrete mathematics, induction and recursion, groups and symmetry, and plane geometry.

        Table of Contents
        • Logic and proofs
        • An introduction to sets
        • The integers
        • Mappings and relations
        • Induction and recursion
        • Binary operations
        • Groups
        • Divisibility and congruences
        • Primes
        • Multiplicative inverses of residue classes
        • Linear transformations
        • Isomorphism
        • The symmetric group
        • Examples of finite groups
        • Cosets
        • Homomorphisms
        • Group actions
        • Euclidean geometry
        • Euler's formula
        • Index

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