Cover for L. E. J. Brouwer Collected Works

L. E. J. Brouwer Collected Works

Geometry, Analysis, Topology and Mechanics

Book1976

Edited by:

HANS FREUDENTHAL

L. E. J. Brouwer Collected Works

Geometry, Analysis, Topology and Mechanics

Book1976

 

Cover for L. E. J. Brouwer Collected Works

Edited by:

HANS FREUDENTHAL

About the book

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Book description

L. E. J. Brouwer Collected Works, Volume 2: Geometry, Analysis, Topology, and Mechanics focuses on the contributions and principles of Brouwer on geometry, topology, analysis, and ... read full description

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  2. Book chapterAbstract only

    CHAPTER 1 - Non-euclidean spaces and integral theorems

    Pages 1-89

  3. Book chapterAbstract only

    CHAPTER 2 - Lie groups

    Pages 91-192

  4. Book chapterAbstract only

    CHAPTER 3 - Toward the plane translation theorem

    Pages 193-270

  5. Book chapterAbstract only

    CHAPTER 4 - Vector fields on surfaces

    Pages 271-338

  6. Book chapterAbstract only

    CHAPTER 5 - Cantor–Schoenflies style topology

    Pages 339-417

  7. Book chapterAbstract only

    CHAPTER 6 - The new methods in topology

    Pages 419-608

  8. Book chapterNo access

    CHAPTER 7 - Topology of surfaces

    Pages 609-661

  9. Book chapterAbstract only

    CHAPTER 8 - Mechanics

    Pages 663-684

  10. Book chapterNo access

    ABBREVIATIONS

    Pages 687-688

  11. Book chapterNo access

    LITERATURE

    Pages 689-706

About the book

Description

L. E. J. Brouwer Collected Works, Volume 2: Geometry, Analysis, Topology, and Mechanics focuses on the contributions and principles of Brouwer on geometry, topology, analysis, and mechanics, including non-Euclidean spaces, integrals, and surfaces. The publication first ponders on non-Euclidean spaces and integral theorems, lie groups, and plane transition theorem. Discussions focus on remarks on multiple integrals, force field of the non-Euclidean spaces with negative curvature, difference quotients and differential quotients, characterization of the Euclidean and non-Euclidean motion groups, and continuous one-one transformations of surfaces in themselves. The book also takes a look at vector fields on surfaces and new methods in topology, including continuous vector distributions on surfaces and orthogonal trajectories of the orbits of a one parameter plane projective group. The book then ponders on mechanics and topology of surfaces, as well as the motion of a particle on the bottom of a rotating vessel under the influence of gravitational force. The publication is a valuable reference for researchers interested in geometry, topology, analysis, and mechanics.

L. E. J. Brouwer Collected Works, Volume 2: Geometry, Analysis, Topology, and Mechanics focuses on the contributions and principles of Brouwer on geometry, topology, analysis, and mechanics, including non-Euclidean spaces, integrals, and surfaces. The publication first ponders on non-Euclidean spaces and integral theorems, lie groups, and plane transition theorem. Discussions focus on remarks on multiple integrals, force field of the non-Euclidean spaces with negative curvature, difference quotients and differential quotients, characterization of the Euclidean and non-Euclidean motion groups, and continuous one-one transformations of surfaces in themselves. The book also takes a look at vector fields on surfaces and new methods in topology, including continuous vector distributions on surfaces and orthogonal trajectories of the orbits of a one parameter plane projective group. The book then ponders on mechanics and topology of surfaces, as well as the motion of a particle on the bottom of a rotating vessel under the influence of gravitational force. The publication is a valuable reference for researchers interested in geometry, topology, analysis, and mechanics.

Details

ISBN

978-0-444-10643-8

Language

English

Published

1976

Copyright

Copyright © 1976 Elsevier Inc. All rights reserved.

Imprint

North Holland

Editors

HANS FREUDENTHAL