The Functional Analysis Of English

Author : Thomas Bloor
Publisher : Routledge
ISBN 13 : 0415825938
Total Pages : 333 pages
Book Rating : 4.31/5 ( download)

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Download or read book The Functional Analysis of English written by Thomas Bloor and published by Routledge. This book was released on 2013 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the analysis of English, helping you to understand the structure, meaning and use of the English language in the context of the Hallidayan systemic functional grammar model.

Author : Vilém Mathesius
Publisher : Walter de Gruyter
ISBN 13 : 3110813297
Total Pages : 232 pages
Book Rating : 4.96/5 ( download)

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Download or read book A Functional Analysis of Present Day English on a General Linguistic Basis written by Vilém Mathesius and published by Walter de Gruyter. This book was released on 2013-07-05 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : T. Bloor
Publisher :
ISBN 13 :
Total Pages : 315 pages
Book Rating : 4.45/5 ( download)

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Download or read book The functional analysis of english written by T. Bloor and published by . This book was released on 2001 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Orr Moshe Shalit
Publisher : CRC Press
ISBN 13 : 1498771629
Total Pages : 257 pages
Book Rating : 4.27/5 ( download)

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Download or read book A First Course in Functional Analysis written by Orr Moshe Shalit and published by CRC Press. This book was released on 2017-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

Author : R.E. Edwards
Publisher : Courier Corporation
ISBN 13 : 0486145107
Total Pages : 802 pages
Book Rating : 4.05/5 ( download)

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Download or read book Functional Analysis written by R.E. Edwards and published by Courier Corporation. This book was released on 2012-10-25 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.

Author : Lise Fontaine
Publisher : Cambridge University Press
ISBN 13 : 0521190665
Total Pages : 295 pages
Book Rating : 4.64/5 ( download)

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Download or read book Analysing English Grammar written by Lise Fontaine and published by Cambridge University Press. This book was released on 2013 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical step-by-step introduction to the analysis of English grammar, taking an integrated approach to function and structure.

Author : Meriel Bloor
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.81/5 ( download)

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Download or read book The Functional Analysis Of English written by Meriel Bloor and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Functional Analysis of English, 2Ed provides a basic introduction to systemic-functional linguistics in the context of English. It presents the principles of a Hallidayan approach to language studies and introduces, in an explanatory way, a set of techniques for the grammatical analysis of English. The book includes an overview of the applications of functional grammar to show the practical importance of linguistic theory and analysis in relation to issues in education and society. It finishes by explaining the place of Halliday and his school in the history of linguistics. It can be used either as a stand-alone text or in combination with Halliday's An Introduction to Functional Grammar . Linguistic terms are clearly explained and illustrated with authentic examples from a wide variety of sources including scientific and technical texts. The Functional Analysis of English, 2Ed will be suitable for anyone approaching Hallidayan linguistics for the first time, particularly English language teachers.

Author : Haim Brezis
Publisher : Springer Science & Business Media
ISBN 13 : 0387709142
Total Pages : 600 pages
Book Rating : 4.47/5 ( download)

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Download or read book Functional Analysis, Sobolev Spaces and Partial Differential Equations written by Haim Brezis and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : A. A. Kirillov
Publisher : Springer Science & Business Media
ISBN 13 : 1461381533
Total Pages : 351 pages
Book Rating : 4.32/5 ( download)

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Download or read book Theorems and Problems in Functional Analysis written by A. A. Kirillov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.

Author : Theo Bühler
Publisher : American Mathematical Soc.
ISBN 13 : 147044190X
Total Pages : 466 pages
Book Rating : 4.06/5 ( download)

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Download or read book Functional Analysis written by Theo Bühler and published by American Mathematical Soc.. This book was released on 2018-08-08 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and the Baire Category Theorem. Chapter 2 develops the three fundamental principles of functional analysis (uniform boundedness, open mapping theorem, Hahn–Banach theorem) and discusses reflexive spaces and the James space. Chapter 3 introduces the weak and weak topologies and includes the theorems of Banach–Alaoglu, Banach–Dieudonné, Eberlein–Šmulyan, Kre&ibreve;n–Milman, as well as an introduction to topological vector spaces and applications to ergodic theory. Chapter 4 is devoted to Fredholm theory. It includes an introduction to the dual operator and to compact operators, and it establishes the closed image theorem. Chapter 5 deals with the spectral theory of bounded linear operators. It introduces complex Banach and Hilbert spaces, the continuous functional calculus for self-adjoint and normal operators, the Gelfand spectrum, spectral measures, cyclic vectors, and the spectral theorem. Chapter 6 introduces unbounded operators and their duals. It establishes the closed image theorem in this setting and extends the functional calculus and spectral measure to unbounded self-adjoint operators on Hilbert spaces. Chapter 7 gives an introduction to strongly continuous semigroups and their infinitesimal generators. It includes foundational results about the dual semigroup and analytic semigroups, an exposition of measurable functions with values in a Banach space, and a discussion of solutions to the inhomogeneous equation and their regularity properties. The appendix establishes the equivalence of the Lemma of Zorn and the Axiom of Choice, and it contains a proof of Tychonoff's theorem. With 10 to 20 elaborate exercises at the end of each chapter, this book can be used as a text for a one-or-two-semester course on functional analysis for beginning graduate students. Prerequisites are first-year analysis and linear algebra, as well as some foundational material from the second-year courses on point set topology, complex analysis in one variable, and measure and integration.