Handbook Of Analysis And Its Foundations

Author : Eric Schechter
Publisher : Academic Press
Page : 907 pages
File Size : 54,6 Mb
Release : 1996-10-24
Category : Mathematics
ISBN : 9780080532998

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Handbook of Analysis and Its Foundations by Eric Schechter Pdf

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/

Author : Stanley A Mulaik
Publisher : CRC Press
Page : 550 pages
File Size : 44,6 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9781420099812

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Foundations of Factor Analysis by Stanley A Mulaik Pdf

Providing a practical, thorough understanding of how factor analysis works, Foundations of Factor Analysis, Second Edition discusses the assumptions underlying the equations and procedures of this method. It also explains the options in commercial computer programs for performing factor analysis and structural equation modeling. This long-awaited e

Author : Miklós Laczkovich,Vera T. Sós
Publisher : Springer
Page : 483 pages
File Size : 43,6 Mb
Release : 2015-10-08
Category : Mathematics
ISBN : 9781493927661

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Real Analysis by Miklós Laczkovich,Vera T. Sós Pdf

Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.

Author : Edmund Landau
Publisher : Unknown
Page : 142 pages
File Size : 50,7 Mb
Release : 2021-02
Category : Electronic
ISBN : 1950217086

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Foundations of Analysis by Edmund Landau Pdf

Natural numbers, zero, negative integers, rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book.

Author : Terence C. Mills
Publisher : Springer
Page : 461 pages
File Size : 42,7 Mb
Release : 2011-06-29
Category : Business & Economics
ISBN : 9780230305021

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The Foundations of Modern Time Series Analysis by Terence C. Mills Pdf

This book develops the analysis of Time Series from its formal beginnings in the 1890s through to the publication of Box and Jenkins' watershed publication in 1970, showing how these methods laid the foundations for the modern techniques of Time Series analysis that are in use today.

Author : Anonim
Publisher : Univalent Foundations
Page : 484 pages
File Size : 45,7 Mb
Release : 2024-06-17
Category : Electronic
ISBN : 8210379456XXX

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Homotopy Type Theory: Univalent Foundations of Mathematics by Anonim Pdf

Author : Avrim Blum,John Hopcroft,Ravindran Kannan
Publisher : Cambridge University Press
Page : 433 pages
File Size : 43,8 Mb
Release : 2020-01-23
Category : Computers
ISBN : 9781108485067

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Foundations of Data Science by Avrim Blum,John Hopcroft,Ravindran Kannan Pdf

Covers mathematical and algorithmic foundations of data science: machine learning, high-dimensional geometry, and analysis of large networks.

Author : Eugen Skudrzyk
Publisher : Springer Science & Business Media
Page : 816 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783709182550

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The Foundations of Acoustics by Eugen Skudrzyk Pdf

Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other.

Author : Na'ilah Suad Nasir,Carol D. Lee,Roy Pea,Maxine McKinney de Royston
Publisher : Routledge
Page : 476 pages
File Size : 44,5 Mb
Release : 2020-05-01
Category : Education
ISBN : 9781135039301

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Handbook of the Cultural Foundations of Learning by Na'ilah Suad Nasir,Carol D. Lee,Roy Pea,Maxine McKinney de Royston Pdf

Edited by a diverse group of expert collaborators, the Handbook of the Cultural Foundations of Learning is a landmark volume that brings together cutting-edge research examining learning as entailing inherently cultural processes. Conceptualizing culture as both a set of social practices and connected to learner identities, the chapters synthesize contemporary research in elaborating a new vision of the cultural nature of learning, moving beyond summary to reshape the field toward studies that situate culture in the learning sciences alongside equity of educational processes and outcomes. With the recent increased focus on culture and equity within the educational research community, this volume presents a comprehensive, innovative treatment of what has become one of the field’s most timely and relevant topics.

Author : Steven Tozer,Bernardo P. Gallegos,Annette Henry,Mary Bushnell Greiner,Paula Groves Price
Publisher : Routledge
Page : 1629 pages
File Size : 41,8 Mb
Release : 2011-07-05
Category : Education
ISBN : 9781135283797

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Handbook of Research in the Social Foundations of Education by Steven Tozer,Bernardo P. Gallegos,Annette Henry,Mary Bushnell Greiner,Paula Groves Price Pdf

Parts one and two of this volume present the theoretical lenses used to study the social contexts of education. These include long-established foundations disciplines such as sociology of education and philosophy of education as well as newer theoretical perspectives such as critical race theory, feminist educational theory, and cultural studies in education. Parts three, four, and five demonstrate how these theoretical lenses are used to examine such phenomena as globalization, media, popular culture, technology, youth culture, and schooling. This groundbreaking volume helps readers understand the history, evolution, and significance of this wide-ranging, often misunderstood, and increasingly important field of study. This book is appropriate as a reference volume not only for scholars in the social foundations of education but also for scholars interested in the cultural contexts of teaching and learning (formal and informal). It is also appropriate as a textbook for graduate-level courses in Social Foundations of Education, School and Society, Educational Policy Studies, Cultural Studies in Education, and Curriculum and Instruction.

Author : H. A. Eiselt,Vladimir Marianov
Publisher : Springer Science & Business Media
Page : 506 pages
File Size : 40,6 Mb
Release : 2011-01-13
Category : Business & Economics
ISBN : 9781441975720

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Foundations of Location Analysis by H. A. Eiselt,Vladimir Marianov Pdf

Location analysis has matured from an area of theoretical inquiry that was designed to explain observed phenomena to a vibrant field which can be and has been used to locate items as diverse as landfills, fast food outlets, gas stations, as well as politicians and products in issue and feature spaces. Modern location science is dealt with by a diverse group of researchers and practitioners in geography, economics, operations research, industrial engineering, and computer science. Given the tremendous advances location science has seen from its humble beginnings, it is time to look back. The contributions in this volume were written by eminent experts in the field, each surveying the original contributions that created the field, and then providing an up-to-date review of the latest contributions. Specific areas that are covered in this volume include: • The three main fields of inquiry: minisum and minimax problems and covering models • Nonstandard location models, including those with competitive components, models that locate undesirable facilities, models with probabilistic features, and problems that allow interactions between facilities • Descriptions and detailed examinations of exact techniques including the famed Weiszfeld method, and heuristic methods ranging from Lagrangean techniques to Greedy algorithms • A look at the spheres of influence that the facilities generate and that attract customers to them, a topic crucial in planning retail facilities • The theory of central places, which, other than in mathematical games, where location science was born

Author : K. Vela Velupillai
Publisher : Routledge
Page : 513 pages
File Size : 50,9 Mb
Release : 2012-07-26
Category : Business & Economics
ISBN : 9781134253371

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Computable Foundations for Economics by K. Vela Velupillai Pdf

Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.

Author : Alexander B. Kharazishvili
Publisher : CRC Press
Page : 457 pages
File Size : 49,9 Mb
Release : 2014-08-26
Category : Mathematics
ISBN : 9781482242010

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Set Theoretical Aspects of Real Analysis by Alexander B. Kharazishvili Pdf

Set Theoretical Aspects of Real Analysis is built around a number of questions in real analysis and classical measure theory, which are of a set theoretic flavor. Accessible to graduate students, and researchers the beginning of the book presents introductory topics on real analysis and Lebesgue measure theory. These topics highlight the boundary between fundamental concepts of measurability and nonmeasurability for point sets and functions. The remainder of the book deals with more specialized material on set theoretical real analysis. The book focuses on certain logical and set theoretical aspects of real analysis. It is expected that the first eleven chapters can be used in a course on Lebesque measure theory that highlights the fundamental concepts of measurability and non-measurability for point sets and functions. Provided in the book are problems of varying difficulty that range from simple observations to advanced results. Relatively difficult exercises are marked by asterisks and hints are included with additional explanation. Five appendices are included to supply additional background information that can be read alongside, before, or after the chapters. Dealing with classical concepts, the book highlights material not often found in analysis courses. It lays out, in a logical, systematic manner, the foundations of set theory providing a readable treatment accessible to graduate students and researchers.

Author : Anna De Fina,Alexandra Georgakopoulou
Publisher : John Wiley & Sons
Page : 483 pages
File Size : 52,5 Mb
Release : 2019-02-12
Category : Language Arts & Disciplines
ISBN : 9781119052142

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The Handbook of Narrative Analysis by Anna De Fina,Alexandra Georgakopoulou Pdf

Featuring contributions from leading scholars in the field, The Handbook of Narrative Analysis is the first comprehensive collection of sociolinguistic scholarship on narrative analysis to be published. Organized thematically to provide an accessible guide for how to engage with narrative without prescribing a rigid analytic framework Represents established modes of narrative analysis juxtaposed with innovative new methods for conducting narrative research Includes coverage of the latest advances in narrative analysis, from work on social media to small stories research Introduces and exemplifies a practice-based approach to narrative analysis that separates narrative from text so as to broaden the field beyond the printed page

Author : Steven Tozer,Bernardo P. Gallegos,Annette Henry,Mary Bushnell Greiner,Paula Groves Price
Publisher : Routledge
Page : 747 pages
File Size : 52,5 Mb
Release : 2011-07-05
Category : Education
ISBN : 9781135283803

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Handbook of Research in the Social Foundations of Education by Steven Tozer,Bernardo P. Gallegos,Annette Henry,Mary Bushnell Greiner,Paula Groves Price Pdf

This groundbreaking volume helps readers understand the history, evolution, and significance of this wide-ranging, often misunderstood, and increasingly important field of study.