Books like Vector Spaces And Matrices in Physics by M. C. Jain

A comprehensive resource on matrices and tensors for physics, covering advanced topics such as Bessel inequality, invariance principles in Newtonian and Minkowski spaces, normal matrices, and fully antisymmetric tensors with extensive exercises.

"Thoroughly revised, updated, and expanded by more than one third, this new edition of Golub and Van Loan's landmark book in scientific computing provides the vital mathematical background and algorithmic skills required for the production of numerical software. New chapters on high performance computing use matrix multiplication to show how to organize a calculation for vector processors as well as for computers with shared or distributed memories. A.so new are discussions of parallel vector methods for linear equations, least squares, and eigenvalue problems."--Back cover.

The book makes a first course in linear algebra more accessible to the majority of students and it assumes no prior knowledge of the subject. It provides a careful presentation of special cases of all core topics. Students will find that the explanations are clear and detailed in manner. It is considered as a bridge over the obstacles in linear algebra and can be used with or without the help of an instructor. While many linear algebra texts neglect Geometry, this book includes numerous Geometrical applications. For example, the book presents classical analytic geometry using concepts and methods from linear algebra, discusses rotations from a geometric viewpoint, gives a rigorous interpretation of the right-hand rule for the cross product using rotations and applies linear algebra to solve some nontrivial plane geometry problems. Many students studying mathematics, physics, engineering and economics find learning introductory linear algebra difficult as it has high elements of abstraction that are not easy to grasp. This book will come in handy to facilitate the understanding of linear algebra whereby it gives a comprehensive, concrete treatment of linear algebra in R² and R³. This method has been shown to improve, sometimes dramatically, a student's view of the subject.

A mathematics textbook that presents linear algebra concepts in a clear, concrete setting before moving to abstract theory, emphasizing linear independence, spanning, subspaces, vector spaces, and linear transformations.