Advanced Algebra

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry.

Discovering Advanced Algebra helps all learners develop a strong conceptual understanding of Algebra. This text uses data analysis to model pure-algebra concepts, derive equations, solve problems, and build skills-all using an investigative approach to learning. The Discovering Advanced Algebra approach improves learning in many ways:…

Easiest way to learn Algebraic skills

Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.

In the years since publication of the first editions of Basic Algebra and Advanced Algebra, many readers have reacted to the books by sending comments, suggestions, and corrections. They appreciated the overall comprehensive nature of the books, associating this feature with the large number of problems that develop so many sidelights and applications of the theory.
Along with the general comments and specific suggestions were corrections, and there were enough corrections to the first volume to warrant a second edition. A second edition of Advanced Algebra was then needed for compatibility.

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established.