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 : 39. 99 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.

Topological Vector Spaces And Distributions

Author : John Horvath
ISBN : 9780486311036
Genre : Mathematics
File Size : 69. 25 MB
Format : PDF
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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? Evgen?evich Shilov
ISBN : 048663518X
Genre : Mathematics
File Size : 53. 49 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, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Introductory Complex Analysis

Author : Richard A. Silverman
ISBN : 9780486318523
Genre : Mathematics
File Size : 29. 55 MB
Format : PDF
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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Introduction To Modern Algebra And Matrix Theory

Author : Otto Schreier
ISBN : 9780486482200
Genre : Mathematics
File Size : 56. 72 MB
Format : PDF
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"This unique text provides students with a basic course in both calculus and analytic geometry. It promotes an intuitive approach to calculus and emphasizes algebraic concepts. Minimal prerequisites. Numerous exercises. 1951 edition"--

Circuits Matrices And Linear Vector Spaces

Author : Lawrence P. Huelsman
ISBN : 9780486485348
Genre : Technology & Engineering
File Size : 73. 46 MB
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This high-level text explains the mathematics behind basic circuit theory. It covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the author presents the basic theory of n-dimensional spaces and demonstrates its application to linear systems. Numerous problems appear throughout the text. 1963 edition.

Elements Of The Theory Of Functions And Functional Analysis

Author : Andre? Nikolaevich Kolmogorov
ISBN : 0486406830
Genre : Mathematics
File Size : 61. 21 MB
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Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

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