A solid, recent, introductory abstract algebra textbook that can be used for self-study purposes is Aluffi's Algebra: Notes from the Underground. It starts off gently with basic number theory leading to rings, before treating modules, groups, fields and Galois theory.

2019年6月24日 · This book takes a "group-first" approach to introductory abstract algebra with rings, fields, vector spaces, and Boolean algebras introduced later. Throughout the textbook, in addition to the examples and theory, there are several practical applications of abstract algebra with a particular emphasis on computer science, such as cryptography and ...

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This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations.

A Book of Abstract Algebra was written by Charles Pinter (1932 - 2023), a former mathematician at Bucknell University, Pennsylvania. The first edition was published by McGraw-Hill in 1982 and the current second edition by Dover Publication in 2010.

2024年8月1日 · Thomas W. Judson’s Abstract Algebra: Theory and Applications is an open source textbook designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications.

Discovering Abstract Algebra takes an Inquiry-Based Learning approach to the subject, leading students to discover for themselves its main themes and techniques. Concepts are introduced conversationally through extensive examples and student investigation before …

This book is primarily intended for undergraduate students in Mathematics, pursuing courses that feature abstract algebra. All aspects of abstract algebra that you would expect to encounter in an undergraduate programme of study are covered, including ring theory, group theory and the beginnings of Galois theory.

2024年8月26日 · Abstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that …

CONTEMPORARY ABSTRACT ALGEBRA, ELEVENTH EDITION is intended for a course whose main purpose is to enable students to do computations and write proofs. This text stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject ...