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- Tài liệuPrealgebra - 2e(OpenStax, 2015) Marecek, Lynn; Anthony Smith, MaryAnnePrealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra or basic math course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. The second edition contains detailed updates and accuracy revisions to address comments and suggestions from users. Dozens of faculty experts worked through the text, exercises and problems, graphics, and and solutions to identify areas needing improvement. Though the authors made significant changes and enhancements, exercise and problem numbers remain nearly the same in order to ensure a smooth transition for faculty.
- Tài liệuTea Time Linear Algebra Explorations in Mathematics - 2nd Edition(Leon Q. Brin, 2022) Brin, Leon Q.This creation is an all-purpose open source textbook for linear algebra classes of all ilks. Inside you will find a complete and engaging introduction to linear algebra, making it a perfect primary resource for classroom study. Take a ride through the landscape of linear algebra from basic mechanics through inner product spaces.
- Tài liệuBasic Algebra with Applications - 6th Edition(Ivan G. Zaigralin, 2018) Zaigralin, Ivan G.Basic Algebra with Applications (6th Edition) introduces fundamental algebraic concepts in a clear, step-by-step way, designed especially for students who need practical applications of mathematics in everyday life and technical fields. The book covers essential topics such as operations with real numbers, linear equations and inequalities, graphing, exponents, polynomials, factoring, rational expressions, and quadratic equations. Each chapter connects theory to real-world applications, with examples drawn from business, science, and daily problem-solving. Practice problems, review exercises, and applied projects help reinforce learning and build confidence. The approach is straightforward, emphasizing problem-solving skills and preparing learners for higher-level mathematics or vocational applications.
- Tài liệuLinear Transformations on Vector Spaces(PALNI, 2023) Kaschner, Scott; Russell, AmberLinear 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.
- Tài liệuLinear Algebra Done Right - Fourth Edition(Springer, 2024) Axler, SheldonNow available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions.