Linear Algebra Done Right
Linear Algebra Done Right by Sheldon Axler is a highly regarded textbook on linear algebra. Aimed at undergraduate students in mathematics, science, and engineering, the book provides a thorough treatment of the subject that emphasizes conceptual understanding and mathematical rigor. First published in 1997, the third edition was released in 2015 and continues to be widely used in classrooms around the world.
Sheldon Axler is a professor of mathematics at San Francisco State University and has been teaching linear algebra for over 30 years. He is also the author of several other textbooks, including Precalculus: A Prelude to Calculus and Harmonic Function Theory. Axler's approach to linear algebra is different from many other textbooks in the field. He places a strong emphasis on vector spaces and linear transformations, viewing matrices as secondary objects. This approach allows students to develop a deep understanding of the fundamental concepts of linear algebra, which can be applied in a variety of fields.
In the introduction to Linear Algebra Done Right, Axler begins by discussing the importance of linear algebra in modern mathematics and its applications in fields such as physics, engineering, and computer science. He then outlines the goals of the book, which include developing the students' understanding of the subject and their ability to reason mathematically. Axler emphasizes the importance of mathematical rigor throughout the book, stating that "intuition should be a guide, but not a substitute for, careful reasoning." The book also includes numerous examples and exercises to reinforce the concepts and techniques covered in each chapter.
Overall, Linear Algebra Done Right is an excellent choice for students looking for a comprehensive and rigorous introduction to linear algebra. With its clear explanations, focus on fundamental concepts, and emphasis on mathematical rigor, the book is an invaluable resource for anyone interested in this fascinating field.
Author: Sheldon Axler
Link to buy: https://www.amazon.com/Linear-Algebra-Right-Undergraduate-Mathematics/dp/3319110799/
Ratings: 4.7 out of 5 stars (from 577 reviews)
Best Sellers Rank: #28,375 in Books
#5 in Linear Algebra (Books)
#6 in Algebra & Trigonometry
