an introduction to the theory of linear spaces dover books on mathematics

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An Introduction To The Theory Of Linear Spaces

Author : Georgi E. Shilov
ISBN : 9780486139432
Genre : Mathematics
File Size : 83. 7 MB
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Introductory treatment offers a clear exposition of algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. Numerous examples illustrate many different fields, and problems include hints or answers. 1961 edition.

Theory Of Linear Operators In Hilbert Space

Author : N. I. Akhiezer
ISBN : 9780486318653
Genre : Mathematics
File Size : 54. 10 MB
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This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional clarity of its theoretical presentation and the inclusion of results obtained by Soviet mathematicians, it should prove invaluable for every mathematician and physicist. 1961, 1963 edition.

Topological Vector Spaces And Distributions

Author : John Horvath
ISBN : 9780486311036
Genre : Mathematics
File Size : 79. 99 MB
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"The most readable introduction to the theory of vector spaces available in English and possibly any other language."—J. L. B. Cooper, MathSciNet Review Mathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers. The precise exposition of the first three chapters—covering Banach spaces, locally convex spaces, and duality—provides an excellent summary of the modern theory of locally convex spaces. The fourth and final chapter develops the theory of distributions in relation to convolutions, tensor products, and Fourier transforms. Augmented with many examples and exercises, the text includes an extensive bibliography.

Linear Algebra

Author : Georgi E. Shilov
ISBN : 9780486135045
Genre : Mathematics
File Size : 90. 59 MB
Format : PDF
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Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, and more.

An Introduction To Linear Algebra

Author : L. Mirsky
ISBN : 9780486166445
Genre : Mathematics
File Size : 30. 89 MB
Format : PDF
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Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

A Vector Space Approach To Geometry

Author : Melvin Hausner
ISBN : 9780486137858
Genre : Mathematics
File Size : 39. 27 MB
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This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.

Introduction To Linear Algebra And Differential Equations

Author : John W. Dettman
ISBN : 0486651916
Genre : Mathematics
File Size : 22. 37 MB
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Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Matrices And Linear Algebra

Author : Hans Schneider
ISBN : 9780486139302
Genre : Mathematics
File Size : 28. 81 MB
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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

Introduction To Spectral Theory In Hilbert Space

Author : Gilbert Helmberg
ISBN : MINN:31951000521209Z
Genre : Hilbert space
File Size : 40. 39 MB
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Matrices And Linear Transformations

Author : Charles G. Cullen
ISBN : 9780486132419
Genre : Mathematics
File Size : 90. 28 MB
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Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.

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