Advanced Algebra

Master abstract mathematical structures and their applications in modern science and engineering.

Advanced Algebra Book Cover

About This Book

Advanced Algebra by Dr. Elias Vinter explores the foundations of modern algebra including group theory, ring theory, and field extensions. With 38 chapters and 650+ exercises, this book bridges elementary algebra with cutting-edge research topics.

ISBN

978-3-16-148410-0

Publication Date

June 2024

Language

English

Paperback

456 pages, 9.78 x 7.44 in

Table of Contents

Part I: Foundations

  1. Groups and Subgroups
  2. Ring Structures
  3. Field Extensions
  4. Modules and Vector Spaces

Part II: Applications

  1. Cryptographic Systems
  2. Algebraic Topology
  3. Quantum Mechanics
  4. Coding Theory
Author Photo

Dr. Elias Vinter

Mathematical Sciences Professor at ETH Zürich

Dr. Vinter has published over 75 academic papers in algebraic structures and computational mathematics. He leads the AI-assisted Theorem Proving Lab at the International Center for Mathematical Research.

Get Your Copy

Available in paperback and digital formats. Support open-access mathematics research with your purchase.

All sales include free access to online solutions manual and video lectures

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