Linear Algebra and Its Applications, 3rd edition (Gilbert Strang)

This comprehensive textbook provides a deep and intuitive introduction to the core concepts of linear algebra. Readers will journey from the fundamentals of vectors, matrices, and linear systems to more advanced topics like orthogonality, determinants, eigenvalues, and singular value decomposition. The book masterfully balances theoretical foundations with computational techniques, ensuring a well-rounded understanding of the subject.

Designed primarily for undergraduate students in mathematics, engineering, and the sciences, this edition is also an excellent resource for anyone seeking to apply linear algebra in data science and machine learning. Its key benefit lies in Strang's clear and engaging writing style, which demystifies complex ideas. The text is renowned for its wealth of practical applications and insightful examples that connect abstract theory to real-world problems in computer graphics, economics, physics, and optimization.