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An Introduction To The Theory Of Linear Spaces

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486139433
Size: 34.46 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
Publisher: Courier Corporation
ISBN: 0486311031
Size: 55.96 MB
Format: PDF, Kindle
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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.

An Introduction To Linear Algebra

Author: L. Mirsky
Publisher: Courier Corporation
ISBN: 0486166449
Size: 48.55 MB
Format: PDF, ePub, Docs
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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.

Elementary Matrix Theory

Author: Howard Eves
Publisher: Courier Corporation
ISBN: 0486150275
Size: 58.21 MB
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Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required.

The Theory Of Linear Viscoelasticity

Author: D. R. Bland
Publisher: Courier Dover Publications
ISBN: 0486816389
Size: 78.96 MB
Format: PDF, ePub
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This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed sections present examples of stress-related problems, including sinusoidal oscillation problems, quasi-static problems, and dynamic problems. 1960 edition.

Lectures On Linear Algebra

Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 9780486660820
Size: 73.39 MB
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Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Finite Dimensional Vector Spaces

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486822265
Size: 22.94 MB
Format: PDF, Docs
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Classic, widely cited, and accessible treatment offers an ideal supplement to many traditional linear algebra texts. "Extremely well-written and logical, with short and elegant proofs." — MAA Reviews. 1958 edition.

Theory Of Linear Operations

Author: Stefan Banach
ISBN: 9780486469836
Size: 13.31 MB
Format: PDF, Mobi
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Written by the founder of functional analysis, this is the first text on linear operator theory. Additional topics include the calculus of variations and theory of integral equations. 1987 edition.

Introduction To Modern Algebra And Matrix Theory

Author: O. Schreier
Publisher: Courier Corporation
ISBN: 0486278654
Size: 10.13 MB
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This unique text provides students with a basic course in both calculus and analytic geometry — no competitive editions cover both topics in a single volume. Its prerequisites are minimal, and the order of its presentation promotes an intuitive approach to calculus. Algebraic concepts receive an unusually strong emphasis. Numerous exercises appear throughout the text. 1951 edition.

An Introduction To The Approximation Of Functions

Author: Theodore J. Rivlin
Publisher: Courier Corporation
ISBN: 9780486495545
Size: 66.56 MB
Format: PDF, ePub
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Concise but wide-ranging, this text provides an introduction to methods of approximating continuous functions by functions that depend only on a finite number of parameters. Not only does the author discuss the theoretical underpinnings of many common algorithms, but he also demonstrates the procedure's practical applications. Each method of approximation features at least one algorithm that traces the path to formulation of the actual numerical approximation. This volume will prove particularly useful as a supplement to introductory courses in both mathematical and numerical analysis; written for upper-level graduate students, it presupposes a knowledge of advanced calculus and linear algebra.