Abstract Algebra: A Gentle Introduction

Abstract Algebra: A Gentle Introduction is a mathematics textbook that provides a concise and affordable introduction to abstract algebra, suitable for a one-semester course or as an introductory text for mathematics majors and education majors. It offers a groups before rings approach, interesting modern applications, an appendix with mathematical induction, the well-ordering principle, sets, functions, permutations, matrices, and complex numbers, and numerous exercises with built-in solutions manual.

Format: Paperback / softback
Length: 214 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

Abstract Algebra: A Gentle Introduction

Advantages
A trend in mathematics textbook publishing towards smaller, less expensive, and brief introductions to primary courses has emerged. The authors have taken a departure from the conventional "everything for everyone" approach commonly found in textbooks. Instead, they have provided comprehensive coverage of numerous algebraic topics, aiming to encompass the most essential aspects of abstract algebra.

Through a thoughtful selection of topics, supported by engaging applications, the authors intend for the book to serve as a one-semester course in abstract algebra. It is particularly suitable for an introductory course in mathematics for majors. Additionally, the text finds great utility for education majors who require an introduction to the topic.

As textbooks undergo various editions and authors incorporate suggestions from numerous well-intentioned reviewers, they tend to grow in size and subsequently become more expensive. This book aims to counter that trend. Here, students are offered a gentle introduction, designed to provide sufficient material for a course while also fostering a desire for further exploration of the subject.

Features
The book adopts a groups before rings approach, which emphasizes the fundamental concepts of groups before delving into the study of rings. This approach provides a solid foundation for understanding abstract algebra and its applications.

Interesting modern applications are incorporated throughout the text, making the material more relatable and engaging for students. These applications draw from various fields, such as computer science, cryptography, and engineering, highlighting the practical significance of abstract algebra.

An appendix is included, providing comprehensive coverage of mathematical induction, the well-ordering principle, sets, functions, permutations, matrices, and complex numbers. This appendix serves as a valuable resource for students seeking additional information and clarification on these topics.

Numerous exercises are provided at the end of each section, allowing students to practice and reinforce their understanding of the concepts discussed. Chapter Hints and Partial Solutions offer built-in solutions manual, providing additional assistance to students who may need further guidance.

In conclusion, Abstract Algebra: A Gentle Introduction offers a comprehensive and accessible introduction to abstract algebra, suitable for students at various levels of study. Its concise yet comprehensive coverage, engaging applications, and practical examples make it an ideal resource for both mathematics majors and education majors seeking to gain a solid foundation in this fundamental mathematical discipline.

Weight: 320g
Dimension: 150 x 228 x 16 (mm)
ISBN-13: 9781032476971