James Dugundji's Books

Fixed Point Theory

By: Andrzej Granas,James Dugundji

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The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications. From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS

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706

Publisher

Springer Science & Business Media

Published Date

ISBN 10

038721593X

ISBN 13

9780387215938

Topology with Applications

Topological Spaces Via Near and Far

By: Somashekhar A. Naimpally,James F. Peters

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Topology with Applications

Topological Spaces Via Near and Far

By: Somashekhar A. Naimpally,James F. Peters

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.

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Page Count

294

Publisher

World Scientific

Published Date

ISBN 10

9814407666

ISBN 13

9789814407663

Characteristic Classes

By: John Willard Milnor,James D. Stasheff

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Characteristic Classes

By: John Willard Milnor,James D. Stasheff

The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.

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Page Count

342

Publisher

Princeton University Press

Published Date

ISBN 10

0691081220

ISBN 13

9780691081229

Characteristic Classes. (AM-76), Volume 76

By: John Milnor,James D. Stasheff

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Characteristic Classes. (AM-76), Volume 76

By: John Milnor,James D. Stasheff

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340

Publisher

Princeton University Press

Published Date

ISBN 10

140088182X

ISBN 13

9781400881826

Topological and Uniform Spaces

By: I.M. James

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Topological and Uniform Spaces

By: I.M. James

This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospec tive specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the number of definitions down to the essential minimum. There are no particular pre requisites but I have worked on the assumption that a potential reader will already have had some experience of working with sets and functions and will also be familiar with the basic concepts of algebra and analysis. There are a number of fine books on general topology, some of which I have listed in the Select Bibliography at the end of this volume. Of course I have benefited greatly from this previous work in writing my own account. Undoubtedly the strongest influence is that of Bourbaki's Topologie Generale [2], the definitive treatment of the subject which first appeared over a genera tion ago.

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Page Count

173

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461247160

ISBN 13

9781461247166

Elements Of Algebraic Topology

By: James R. Munkres

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Elements Of Algebraic Topology

By: James R. Munkres

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for comunicating complex topics and the fun nature of algebraic topology for beginners.

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Page Count

465

Publisher

CRC Press

Published Date

ISBN 10

0429962460

ISBN 13

9780429962462

Topologies and Uniformities

By: Ioan M. James

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Topologies and Uniformities

By: Ioan M. James

A substantially revised edition of the UTM volume, with a view to making the book far more accessible to undergraduates. It contains a larger number of detailed explanations and exercises, together with fully worked solutions to the essential problems and a new chapter on the historical aspects.

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236

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1447139941

ISBN 13

9781447139942

General Topology and Homotopy Theory

By: I.M. James

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General Topology and Homotopy Theory

By: I.M. James

Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form. In this book I have tried to take a fresh look at some of this basic material and to organize it in a coherent fashion. The text is as self-contained as I could reasonably make it and should be quite accessible to anyone who has an elementary knowledge of point-set topology and group theory. This book is based on a course of 16 graduate lectures given at Oxford and elsewhere from time to time. In a course of that length one cannot discuss too many topics without being unduly superficial. However, this was never intended as a treatise on the subject but rather as a short introductory course which will, I hope, prove useful to specialists and non-specialists alike. The introduction contains a description of the contents. No algebraic or differen tial topology is involved, although I have borne in mind the needs of students of those branches of the subject. Exercises for the reader are scattered throughout the text, while suggestions for further reading are contained in the lists of references at the end of each chapter. In most cases these lists include the main sources I have drawn on, but this is not the type of book where it is practicable to give a reference for everything.

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Page Count

253

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461382831

ISBN 13

9781461382836

Mathematical Methods for Economic Theory 2

By: James C. Moore

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Mathematical Methods for Economic Theory 2

By: James C. Moore

This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces

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Page Count

1012

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540612106

ISBN 13

9783540612100

Mathematical Methods for Economic Theory 1

By: James C. Moore

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Mathematical Methods for Economic Theory 1

By: James C. Moore

This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. Volume One covers basic set theory, sequences and series, continuous and semi-continuous functions, an introduction to general linear spaces, basic convexity theory, and applications to economics.

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Page Count

436

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540662359

ISBN 13

9783540662358

Statics of Deformable Solids

By: Raymond L. Bisplinghoff,James W. Mar,Theodore H.H. Pian

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Statics of Deformable Solids

By: Raymond L. Bisplinghoff,James W. Mar,Theodore H.H. Pian

Profusely illustrated exposition of fundamentals of solid mechanics and principles of mechanics, statics, and simple statically indeterminate systems. Covers strain and stress in three-dimensional solids, elementary elasticity, energy principles in solid continuum, and more. 1965 edition.

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Page Count

338

Publisher

Courier Corporation

Published Date

ISBN 10

0486799409

ISBN 13

9780486799407

Prufer Domains

By: Marco Fontana,James Huckaba,Ira Papick

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Prufer Domains

By: Marco Fontana,James Huckaba,Ira Papick

Provides a picture of the research that has occurred and the techniques that have been involved in studying Prufer domains since about 1970. The text covers generating ideals in Prufer domains, particular overrings of Prufer domains, applications of the theory of overrings, generalized dedekind domains, polynomial extensions and quasi-Prufer domains, and more.

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Page Count

348

Publisher

CRC Press

Published Date

ISBN 10

0824798163

ISBN 13

9780824798161

Fibrations and Bundles with Hilbert Cube Manifold Fibers

By: Henryk Toruńczyk,James West

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Fibrations and Bundles with Hilbert Cube Manifold Fibers

By: Henryk Toruńczyk,James West

We analyze fibrations over paracompact Hausdorff bases with locally compact ANR fibers and show that a fibred analog of the first author's characterization of Hilbert cube manifolds detects the Hilbert cube manifold bundles if the fibers are compact or the base is semi-locally contractible. This shows that Hurewicz fibrations with Hilbert cube manifold fibers over CW-complexes with compact fibers or proper fiber transport are bundles.

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American Mathematical Soc.

Published Date

ISBN 10

0821824716

ISBN 13

9780821824719

Hydro-Environmental Analysis

Freshwater Environments

By: James L. Martin

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Hydro-Environmental Analysis

Freshwater Environments

By: James L. Martin

Focusing on fundamental principles, Hydro-Environmental Analysis: Freshwater Environments presents in-depth information about freshwater environments and how they are influenced by regulation. It provides a holistic approach, exploring the factors that impact water quality and quantity, and the regulations, policy and management methods that are necessary to maintain this vital resource. It offers a historical viewpoint as well as an overview and foundation of the physical, chemical, and biological characteristics affecting the management of freshwater environments. The book concentrates on broad and general concepts, providing an interdisciplinary foundation. The author covers the methods of measurement and classification; chemical, physical, and biological characteristics; indicators of ecological health; and management and restoration. He also considers common indicators of environmental health; characteristics and operations of regulatory control structures; applicable laws and regulations; and restoration methods. The text delves into rivers and streams in the first half and lakes and reservoirs in the second half. Each section centers on the characteristics of those systems and methods of classification, and then moves on to discuss the physical, chemical, and biological characteristics of each. In the section on lakes and reservoirs, it examines the characteristics and operations of regulatory structures, and presents the methods commonly used to assess the environmental health or integrity of these water bodies. It also introduces considerations for restoration, and presents two unique aquatic environments: wetlands and reservoir tailwaters. Written from an engineering perspective, the book is an ideal introduction to the aquatic and limnological sciences for students of environmental science, as well as students of environmental engineering. It also serves as a reference for engineers and scientists involved in the management, regulation, or restoration of freshwater environments.

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Page Count

5742

Publisher

CRC Press

Published Date

ISBN 10

1138000868

ISBN 13

9781138000865

Fixed Point Theory

By: Andrzej Granas,James Dugundji

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Fixed Point Theory

By: Andrzej Granas,James Dugundji

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706

Publisher

Springer Science & Business Media

Published Date

ISBN 10

038721593X

ISBN 13

9780387215938

Letter of James Garland, to His Constituents

By: James Garland

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Letter of James Garland, to His Constituents

By: James Garland

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

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Palala Press

Published Date

ISBN 10

1377973409

ISBN 13

9781377973401

Book's by James Dugundji

Fixed Point Theory

Fixed Point Theory

Topology with Applications

Topology with Applications

Characteristic Classes

Characteristic Classes

Characteristic Classes. (AM-76), Volume 76

Characteristic Classes. (AM-76), Volume 76

Topological and Uniform Spaces

Topological and Uniform Spaces

Elements Of Algebraic Topology

Elements Of Algebraic Topology

Topologies and Uniformities

Topologies and Uniformities

General Topology and Homotopy Theory

General Topology and Homotopy Theory

Mathematical Methods for Economic Theory 2

Mathematical Methods for Economic Theory 2

Mathematical Methods for Economic Theory 1

Mathematical Methods for Economic Theory 1

Statics of Deformable Solids

Statics of Deformable Solids

Prufer Domains

Prufer Domains

Fibrations and Bundles with Hilbert Cube Manifold Fibers

Fibrations and Bundles with Hilbert Cube Manifold Fibers

Hydro-Environmental Analysis

Hydro-Environmental Analysis

Fixed Point Theory

Fixed Point Theory

Letter of James Garland, to His Constituents

Letter of James Garland, to His Constituents

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