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An Introduction To The Theory Of Linear Spaces

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486139433
Size: 34.74 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: 63.93 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.

An Introduction To Linear Algebra

Author: L. Mirsky
Publisher: Courier Corporation
ISBN: 0486166449
Size: 71.21 MB
Format: PDF, Mobi
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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.

Finite Dimensional Vector Spaces

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486822265
Size: 23.80 MB
Format: PDF, ePub
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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.

Aufbaukurs Funktionalanalysis Und Operatortheorie

Author: Winfried Kaballo
Publisher: Springer-Verlag
ISBN: 3642377947
Size: 14.65 MB
Format: PDF, ePub
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In diesem Buch finden Sie eine Einführung in die Funktionalanalysis und Operatortheorie auf dem Niveau eines Master-Studiengangs. Ausgehend von Fragen zu partiellen Differenzialgleichungen und Integralgleichungen untersuchen Sie lineare Gleichungen im Hinblick auf Existenz und Struktur von Lösungen sowie deren Abhängigkeit von Parametern. Dazu lernen Sie verschiedene Konzepte und Methoden kennen: Distributionen, Fourier-Transformation, Sobolev-Räume, Dualitätstheorie im Rahmen lokalkonvexer Räume, topologische Tensorprodukte, exakte Sequenzen, Banachalgebren, Fredholmoperatoren, Funktionalkalküle sowie selbstadjungierte Operatoren und ihre Rolle in der Quantenmechanik. Das Buch ist ausführlich und leicht verständlich geschrieben, die Konzepte und Resultate werden durch Abbildungen und viele Beispiele illustriert. Anhand zahlreicher Übungsaufgaben (mit Lösungen auf der Website zum Buch) können Sie Ihr Verständnis des Stoffes testen, anhand anderer diesen selbstständig weiterentwickeln.

An Introduction To Linear Algebra And Tensors

Author: M. A. Akivis
Publisher: Courier Corporation
ISBN: 0486148785
Size: 45.91 MB
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Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

Introductory Complex Analysis

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318524
Size: 31.22 MB
Format: PDF, Kindle
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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 Spectral Theory In Hilbert Space

Author: Gilbert Helmberg
Publisher: Courier Dover Publications
ISBN: 0486466221
Size: 44.38 MB
Format: PDF, ePub
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This text introduces students to Hilbert space and bounded self-adjoint operators, as well as the spectrum of an operator and its spectral decomposition. The author, Emeritus Professor of Mathematics at the University of Innsbruck, Austria, has ensured that the treatment is accessible to readers with no further background than a familiarity with analysis and analytic geometry. Starting with a definition of Hilbert space and its geometry, the text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes and Lebesgue integration.

Matrices And Linear Transformations

Author: Charles G. Cullen
Publisher: Courier Corporation
ISBN: 0486132412
Size: 36.27 MB
Format: PDF, Kindle
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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.