This introduction to linear algebra and functional analysis offers a clear expository treatment, viewing algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. All abstract ideas receive a high degree of motivation, and numerous examples illustrate many different fields of mathematics. Abundant problems include hints or answers. 1961 edition.
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter contains a problem set (hints and answers at the end), while a wealth of examples and applications are found throughout the text. Over 340 theorems fully proved. 1973 edition.
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.