Basic Methods Of Linear Functional Analysis PDF Download
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| Author | : John D. Pryce |
| Publisher | : Courier Corporation |
| Total Pages | : 322 |
| Release | : 2011-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486483843 |
Download Basic Methods of Linear Functional Analysis Book in PDF, ePub and Kindle
" An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. "The author has a delightfully lively style which makes the book very readable, and there are numerous interesting and instructive problems." -- Edinburgh Math Society.1973 edition"--
| Author | : John Derwent Pryce |
| Publisher | : Hutchinson Radius |
| Total Pages | : 320 |
| Release | : 1973-01-01 |
| Genre | : Functional analysis |
| ISBN | : 9780091134112 |
Download Basic Methods of Linear Functional Analysis Book in PDF, ePub and Kindle
| Author | : Bryan Rynne |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 1447136551 |
Download Linear Functional Analysis Book in PDF, ePub and Kindle
This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions defined on some set. In general, such a vector space is infinite-dimensional. This leads to difficulties in that, although many of the elementary properties of finite-dimensional vector spaces hold in infinite dimensional vector spaces, many others do not. For example, in general infinite dimensional vector spaces there is no framework in which to make sense of an alytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space. As real or complex-valued functions are often called functionals, the term functional analysis came to be used for this topic. We now briefly outline the contents of the book.
| Author | : Hans Wilhelm Alt |
| Publisher | : Springer |
| Total Pages | : 446 |
| Release | : 2016-07-06 |
| Genre | : Mathematics |
| ISBN | : 1447172809 |
Download Linear Functional Analysis Book in PDF, ePub and Kindle
This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.
| Author | : John D. Pryce |
| Publisher | : Courier Corporation |
| Total Pages | : 322 |
| Release | : 2014-05-05 |
| Genre | : Mathematics |
| ISBN | : 0486173631 |
Download Basic Methods of Linear Functional Analysis Book in PDF, ePub and Kindle
Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. Numerous exercises and worked examples.1973 edition.
| Author | : Yu.I. Lyubich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 290 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662028492 |
Download Functional Analysis I Book in PDF, ePub and Kindle
The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.
| Author | : Erwin Kreyszig |
| Publisher | : John Wiley & Sons |
| Total Pages | : 706 |
| Release | : 1991-01-16 |
| Genre | : Mathematics |
| ISBN | : 0471504599 |
Download Introductory Functional Analysis with Applications Book in PDF, ePub and Kindle
KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry
| Author | : Bryan Rynne |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 327 |
| Release | : 2007-12-29 |
| Genre | : Mathematics |
| ISBN | : 1848000057 |
Download Linear Functional Analysis Book in PDF, ePub and Kindle
This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality.
| Author | : Joan Cerda |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 346 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0821851152 |
Download Linear Functional Analysis Book in PDF, ePub and Kindle
Presents the basic facts of linear functional analysis as related to fundamental aspects of mathematical analysis and their applications. It avoids unnecessary terminology and generality and focuses on showing how the knowledge of these structures clarifies what is essential in analytic problems. The presentation is intended to be accessible to readers whose backgrounds include basic linear algebra, integration theory, and general topology.
| Author | : Daniel Alpay |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 107 |
| Release | : 2014-03-19 |
| Genre | : Mathematics |
| ISBN | : 3319051105 |
Download Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis Book in PDF, ePub and Kindle
This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.
