Linear Algebra Done Right
"Linear Algebra Done Right" by Sheldon Axler is a highly regarded text on linear algebra, widely used in mathematics courses at the undergraduate and graduate levels. Published by Springer, the book offers a modern and intuitive approach to the subject, focusing on the fundamental concepts and principles that underlie the theory of linear algebra.
Sheldon Axler is a distinguished mathematician, known for his contributions to functional analysis, operator theory, and the geometry of Banach spaces. He is currently a professor of mathematics at San Francisco State University, and has received numerous awards and honors for his research and teaching.
In the preface to the third edition of "Linear Algebra Done Right," Axler explains that the book was written with two main goals in mind: to provide a clear and concise introduction to the subject, and to emphasize the geometric and conceptual aspects of linear algebra. He notes that the traditional approach to linear algebra, which emphasizes matrix calculations and algorithmic techniques, can sometimes obscure the underlying ideas and principles.
To achieve his goals, Axler uses a streamlined and modern approach, which emphasizes the abstract structure of vector spaces and linear transformations. He introduces the key concepts of linear algebra in a logical and intuitive manner, using examples and geometric illustrations to help readers understand the ideas.
Overall, "Linear Algebra Done Right" is a highly accessible and engaging introduction to the subject, suitable for anyone with a solid background in mathematics. Among the best books on linear algebra, it is an ideal text for undergraduate and graduate students, as well as for anyone interested in the theoretical foundations of linear algebra.
Author: Sheldon Axler
Link to buy: https://www.amazon.com/dp/3319110799
Ratings: 4.7 out of 5 stars (from 574 reviews)
Best Sellers Rank: #50,268 in Books
#9 in Linear Algebra (Books)
#12 in Algebra & Trigonometry