Description

Book Synopsis
Takes an Inquiry-Based Learning approach to the subject, leading students to discover for themselves the main themes and techniques. Concepts are introduced conversationally through extensive examples and student investigation before being formally defined.

Table of Contents
  • Group theory: Introduction
  • Binary operations
  • Groups
  • Subgroups and generating sets
  • Applications of subgroups
  • Types of groups: Quotient groups
  • Cyclic groups
  • Direct products
  • The isomorphism theorems
  • The symmetric groups
  • Alternating groups
  • Ring theory: Rings
  • Commutative rings
  • Fields
  • Quotient rings
  • Linear algebra: Vector spaces
  • Linear transformations
  • Field theory: Extension fields
  • Algebraic extensions
  • Intermediate group theory: Group actions
  • The Sylow theorems
  • Appendices: Relations and functions
  • Matrices
  • Complex numbers
  • Index

Discovering Abstract Algebra

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    £57.10

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    RRP £61.00 – you save £3.90 (6%)

    Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

    A Paperback / softback by John K. Osoinach, Jr

    2 in stock


      View other formats and editions of Discovering Abstract Algebra by John K. Osoinach, Jr

      Publisher: American Mathematical Society
      Publication Date: 30/01/2022
      ISBN13: 9781470464424, 978-1470464424
      ISBN10: 147046442X

      Description

      Book Synopsis
      Takes an Inquiry-Based Learning approach to the subject, leading students to discover for themselves the main themes and techniques. Concepts are introduced conversationally through extensive examples and student investigation before being formally defined.

      Table of Contents
      • Group theory: Introduction
      • Binary operations
      • Groups
      • Subgroups and generating sets
      • Applications of subgroups
      • Types of groups: Quotient groups
      • Cyclic groups
      • Direct products
      • The isomorphism theorems
      • The symmetric groups
      • Alternating groups
      • Ring theory: Rings
      • Commutative rings
      • Fields
      • Quotient rings
      • Linear algebra: Vector spaces
      • Linear transformations
      • Field theory: Extension fields
      • Algebraic extensions
      • Intermediate group theory: Group actions
      • The Sylow theorems
      • Appendices: Relations and functions
      • Matrices
      • Complex numbers
      • Index

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