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Prealgebra - 2e

Open Resources for Community College Algebra

My Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition

Linear Algebra, Theory And Applications

Linear Algebra

Intermediate Algebra - 2e

Intermediate Algebra

Fundamentals of Matrix Algebra

Elementary Algebra

Elementary Abstract Algebra: Examples and Applications

College Algebra - 2e

College Algebra

Basic Algebra with Applications - 6th Edition

Advanced Algebra v. 1.0

Abstract Algebra: Theory and Applications

A First Course in Linear Algebra - 10th Edition-2023-B-D

A First Course in Linear Algebra

Tea Time Linear Algebra Explorations in Mathematics - 2nd Edition

Representation Theory

This volume offers a fresh and modern introduction to one of abstract algebra’s key topics. Guiding readers through the transition between structure theory and representation theory, this textbook explores how algebraic objects like groups and rings act as symmetries of other structures. Using the accessible yet powerful language of category theory, the book reimagines standard approaches to topics such as modules and algebras in a way that unlocks modern treatments of more advanced topics such as quiver representations and even representations of Hopf algebras and categories. Aimed at undergraduate students with prior exposure to linear algebra and basic group theory, the book introduces categories early and uses them throughout, providing a cohesive framework that mirrors current mathematical research. Though technically sophisticated, it also includes examples and exercises designed to develop intuition and understanding. Grabowski’s inclusion of computational tools such as SageMath offers a valuable and traditionally underdeveloped bridge between abstract theory and hands-on exploration. This is a uniquely valuable guide for students ready to stretch their understanding of the subject’s conceptual depth and evolving frontiers.

Linear Transformations on Vector Spaces

Linear Transformations on Vector Spaces serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, skills, and, applications as conventional texts in a one-semester course, but students walk away with a much richer and more useful mastery of the topics. The book is structured to facilitate the implementation of the flipped classroom. The text features a continuous narrative to illuminate the big picture of the material and is written to help students develop their textbook reading skills. Also, there are “Explorations” scattered throughout each section; these are quick first examples intended for students to complete while reading before class meetings. Additional materials include section overview homework assignments and worksheets that can be used for in-class practice.