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 : 72. 25 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 : 9780486488509
Genre : Mathematics
File Size : 33. 9 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 ReviewMathematically 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.Reprint of the Addison-Wesley Publishing Company, Reading, Massachusetts, 1966 edition.

Linear Algebra

Author : Georgi? Evgen?evich Shilov
ISBN : 048663518X
Genre : Mathematics
File Size : 20. 21 MB
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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.

The Theory Of Linear Viscoelasticity

Author : D. R. Bland
ISBN : 9780486816388
Genre : Technology & Engineering
File Size : 58. 15 MB
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This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed individual sections present examples of stress-related problems. In addition, it explains procedures for model fitting to measured values of complex modulus or compliance. The text begins with an introduction to the concepts of viscoelasticity. Succeeding chapters explore the foundations of three-dimensional linear viscoelasticity and stress analysis. Sinusoidal oscillation problems, quasi-static problems, and dynamic problems receive particular attention. The final chapter examines model fitting to measured values of complex modulus or compliance. Numerous examples and figures illuminate the text.

Logic The Theory Of Formal Inference

Author : Alice Ambrose
ISBN : 9780486796772
Genre : Mathematics
File Size : 28. 11 MB
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Geared toward college undergraduates new to the subject, this concise introduction features a preliminary section on truth-functions. Two additional parts on quantification and classes, each subdivided into numerous brief specifics, complete the overview. 1961 edition.

Introduction To Spectral Theory In Hilbert Space

Author : Gilbert Helmberg
ISBN : MINN:31951000521209Z
Genre : Hilbert space
File Size : 25. 28 MB
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Circuits Matrices And Linear Vector Spaces

Author : Lawrence P. Huelsman
ISBN : 9780486485348
Genre : Technology & Engineering
File Size : 35. 86 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.

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