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Author: Thomas Bloor Publisher: Routledge ISBN: 0415825938 Category : Language Arts & Disciplines Languages : en Pages : 333
Book Description
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: Thomas Bloor Publisher: Routledge ISBN: 0415825938 Category : Language Arts & Disciplines Languages : en Pages : 333
Book Description
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: Meriel Bloor Publisher: ISBN: Category : Languages : en Pages :
Book Description
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: R.E. Edwards Publisher: Courier Corporation ISBN: 0486145107 Category : Mathematics Languages : en Pages : 802
Book Description
"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: Haim Brezis Publisher: Springer Science & Business Media ISBN: 0387709142 Category : Mathematics Languages : en Pages : 600
Book Description
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: Peter D. Lax Publisher: John Wiley & Sons ISBN: 1118626745 Category : Mathematics Languages : en Pages : 451
Book Description
Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. Includes an appendix on the Riesz representation theorem.
Author: A. A. Kirillov Publisher: Springer Science & Business Media ISBN: 1461381533 Category : Mathematics Languages : en Pages : 351
Book Description
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: Thomas Bloor
Author: Thomas Bloor
Author: Vilém Mathesius
Author: Meriel Bloor
Author: T. Bloor
Author: Thomas Bloor
Author: R.E. Edwards
Author: Thomas Bloor
Author: Haim Brezis
Author: Peter D. Lax
Author: A. A. Kirillov