Anthropological Theory


Book Description

Anthropological theory has been much discussed in recent years, yet the crucial questions still remain--how can it be defined, how is it developed, how is it to be applied, and how can one confirm it? The editors of Anthropological Theory answer these questions by presenting essays relating to various aspects of anthropological theory. Their selections from widely scattered and often difficult-to-obtain sources present a comprehensive set of writings that describe the current position and issues involved in theory.The development of field work in anthropology generated a tremendous emphasis on empirical data and research. The plethora of information awaiting collection and the enthusiasm with which the field embraced it so immersed anthropologists that they were unable to relate this new information to the field as a whole. Manners and Kaplan believe that this lack of generalization had a profoundly negative effect upon the discipline. Therefore, they look closely into the relationship between field work and theory in an opening essay and go on to present material that demonstrates the value and the necessity of theory in anthropology. Essays by anthropologists and other social scientists deal with ""explanation,"" evolution, ecology, ideology, structuralism, and a number of other issues reflecting throughout the editors' conviction that anthropology is a science, the goal of which is to produce generalizations about sociocultural phenomena.The book provides necessary perspective for examining and evaluating the crucial intellectual concerns of modern anthropology and will therefore be important for the work of every anthropologist.




Functional Analysis, Sobolev Spaces and Partial Differential Equations


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.




A Course in Functional Analysis


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




Functional Analysis


Book Description




Functional Analysis of Problem Behavior


Book Description




Functional Analysis


Book Description

Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with certain properties, which map one set into another. Functional analysis became one of the success stories of mathematics in the 20th century, in the search for generality and unification.




Functional Analysis


Book Description

Functional Analysis, Second Edition is an exposition of the theory of topological vector spaces, partially ordered spaces, and the development of the theory of integral operators and their representations on ideal spaces of measurable functions. Although this edition has deviated substantially from the first edition, it has still retained the overall plan, selection, and arrangement of the topics. The text is primarily devoted to the applications of functional analysis to applied analysis. However, these concepts have been extended and modernized. Some topics of functional analysis connected with applications to mathematical economics and control theory are also included in this edition. The applications of functional analysis are both wide and far-reaching as these are common language for all areas of mathematics involving the concept of continuity. Those who are in the field of mathematics, mechanics, and theoretical physics will find this book a valuable resource.




Real and Functional Analysis


Book Description

This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references. The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.




Real and Functional Analysis


Book Description

This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.