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Author: Thomas Bloor
Publisher: Routledge
ISBN: 0415825938
Category : Language Arts & Disciplines
Languages : en
Pages : 333
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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
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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: Vilém Mathesius
Publisher: Walter de Gruyter
ISBN: 3110813297
Category : Language Arts & Disciplines
Languages : en
Pages : 232
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Book Description
Author: R.E. Edwards
Publisher: Courier Corporation
ISBN: 0486145107
Category : Mathematics
Languages : en
Pages : 802
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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: John B Conway
Publisher: Springer
ISBN: 1475743831
Category : Mathematics
Languages : en
Pages : 416
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Book Description
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS
Author: Orr Moshe Shalit
Publisher: CRC Press
ISBN: 1498771629
Category : Mathematics
Languages : en
Pages : 257
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Book Description
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: A. A. Kirillov
Publisher: Springer Science & Business Media
ISBN: 1461381533
Category : Mathematics
Languages : en
Pages : 351
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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: Marian Fabian
Publisher: Springer Science & Business Media
ISBN: 1475734808
Category : Mathematics
Languages : en
Pages : 455
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Book Description
This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.
Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486318680
Category : Mathematics
Languages : en
Pages : 354
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Book Description
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.
Author: Karen Saxe
Publisher: Springer Science & Business Media
ISBN: 1475736878
Category : Mathematics
Languages : en
Pages : 209
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Book Description
The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.
Author: Andrew Chesterman
Publisher: John Benjamins Publishing
ISBN: 9027282617
Category : Language Arts & Disciplines
Languages : en
Pages : 240
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Book Description
Why is a raven like a writing-desk? The concept of similarity lies at the heart of this new book on contrastive analysis. Similarity judgements depend partly on properties of the objects being compared, and partly on what the person judging considers to be relevant to the assessment; similarity thus has both objective and subjective aspects. The author shows how contrastive analysis and translation theory make use of the concept in different ways, and explains how it relates to the problematic notions of equivalence and tertium comparationis. The book then develops a meaning-based contrastive methodology, and outlines one theory of semantic structure which can be used in this methodology. The approach is illustrated with four sample studies covering different kinds of phenomena in some European languages. The final part of the book proposes an extension of the theoretical framework to cover contrastive rhetoric: the aim is to suggest a unified approach linking aspects of semantics, pragmatics and rhetoric. Keywords: similarity, contrastive analysis, functional grammar, semantics, rhetoric, translation.
