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...

2014 Reprint of 1963 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Stratonovich was a Russian physicist, engineer, and probabilist and one of the founders of the theory of stochastic differential equations. The genesis of this book, the first of two volumes concerned with various topics in the theory of random noise, is evidenced in the author's remark, "Random processes are of great and ever increasing interest to scientists and engineers working in various branches of radio physics." The major context and relative emphases of this book...

2014 Reprint of 1963 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Olga Aleksandrovna Ladyzhenskaya was a Soviet and Russian mathematician. She was known for her work on partial differential equations (especially Hilbert's 19th problem) and fluid dynamics. She provided the first rigorous proofs of the convergence of a finite difference method for the Navier-Stokes equations. This is a revised and updated edition of a book of fundamental importance in the rigorous theory of solutions of the Navier-Stokes equations. The author considers the...

2014 Reprint of 1962 Edition. Full facsimile of the original edition. Not reproduced with Optical Recognition Software. The present volume is an introduction to Fourier series and their use in solving boundary value problems of mathematical physics. The text treats expansions in Fourier series, general orthogonal expansions, convergence of Fourier series, operations with Fourier series, double Fourier series, Fourier integrals and transforms, Bessel functions and Fourier-Bessel series, the eigenfunction method and its use in solving boundary value problems of mathematical analysis,...