2013 Reprint of 1961 Edition. Full facsimile of the original
edition, not reproduced with Optical Recognition Software. 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. Georgi Shilov was a Soviet
mathematician and expert in the field of functional analysis, who
contributed to the theory of normed rings and generalized
functions. Shilov often collaborated with colleague Israel Gelfand
on research that included generalized functions and partial
differential equations.
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