- #1
- 22,183
- 3,321
- Author: Anthony Knapp
- Title: Advanced Algebra
- Amazon link https://www.amazon.com/dp/0817645225/?tag=pfamazon01-20
- Prerequisities: Basic Algebra
- Level: Undergrad
Last edited by a moderator:
Advanced Algebra by Knapp is a comprehensive textbook that covers advanced topics in algebra, including abstract algebra, linear algebra, and multilinear algebra. It is designed for students who have already completed a course in basic algebra and are looking to expand their knowledge and understanding of more complex algebraic concepts.
Advanced Algebra by Knapp is written by Anthony W. Knapp, a professor of mathematics at the State University of New York at Stony Brook. He is a renowned mathematician and has written several other textbooks on topics such as algebraic geometry, group theory, and Lie algebras.
Advanced Algebra by Knapp covers a wide range of topics, including groups, rings, fields, vector spaces, linear transformations, eigenvalues and eigenvectors, bilinear and quadratic forms, and more. It also includes numerous examples and exercises to help students apply the concepts they have learned.
While the textbook is primarily intended for use in a classroom setting, it is also suitable for self-study. The material is presented in a clear and concise manner, with many examples and exercises to help students grasp the concepts. However, it is recommended that students have a strong foundation in basic algebra before attempting to study advanced algebra on their own.
Advanced Algebra by Knapp stands out from other algebra textbooks due to its comprehensive coverage of advanced topics and its clear and concise writing style. It also includes a section on multilinear algebra, which is not commonly found in other algebra textbooks. Additionally, the author provides historical and cultural context for the development of algebraic concepts, making the material more engaging and relatable for students.