An Introduction to the Theory of Linear Spaces

This comprehensive introduction to linear algebra and functional analysis presents a cohesive view of algebra, geometry, and analysis as interconnected disciplines. It emphasizes motivation for abstract concepts and includes numerous illustrative examples from various mathematical fields. The book features a wealth of problems, many with hints or answers, enhancing the learning experience. Authored by renowned Soviet mathematician Georgi Shilov, known for his work on normed rings and generalized functions, it reflects his collaborative research with Israel Gelfand.