This textbook offers a clear and systematic introduction to linear algebra and analytic geometry at university level. It covers the central topics of the early university curriculum, including vector spaces, linear transformations, matrices, determinants, eigenvalue theory, and Euclidean and unitary vector spaces. The mathematical theory is developed with precision and in a logically structured way, with all major results fully proved. At the same time, the clear didactic presentation ensures that even demanding content remains accessible and easy to follow. Numerous examples, exercises, and fully worked solutions support understanding, promote effective exam preparation, and make the book well suited for independent study. It is ideal for students of mathematics, computer science, physics, engineering, and related fields.
Clear university-level introduction to linear algebra and analytic geometry with complete proofs, examples, exercises, and worked solutions.
Ideal for students of mathematics, computer science, physics, and engineering seeking a rigorous yet accessible treatment of core linear algebra topics.
Covers vector spaces, linear mappings, matrices, determinants, eigenvalue theory, and Euclidean and unitary vector spaces in a systematic way.
Lucien Sina
Lucien Sina is a mathematician and computer scientist. In "Linear Algebra and Analytic Geometry", he presents the foundations of the subject in a clear, rigorous, and accessible way, with a strong emphasis on precise proofs and systematic exposition.
Gaussian elimination Systems of linear equations vector spaces linear transformations Inner product spaces