L. E. J. Brouwer Collected Works

L. E. J. Brouwer Collected Works

Geometry, Analysis, Topology and Mechanics

1st Edition - January 1, 1976

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  • Editor: Hans Freudenthal
  • eBook ISBN: 9781483257549

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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.

Table of Contents


  • Preface

    The Life of L. E. J. Brouwer

    Bibliography of L. E. J. Brouwer

    1 Non-Euclidean Spaces and Integral Theorems

    1904 A2

    1904 B2

    1904 C2

    1906 A2

    1919 Q2

    1906 B2

    1906 C2

    2 Lie Groups

    1908 D2

    Y8

    1909 B

    1909 C 1910 G

    Y43

    Y44

    Y45

    1910 H

    1911 K

    1909 E

    3 Toward the Plane Translation Theorem

    1909 F2

    1909 H2 1909 H1

    1911 H2

    1911 J2

    1910 F 1910 L 1919 F

    1912 B

    1919 M2

    4 Vector Fields on Surfaces

    1909 G2

    1910 A2

    1910 D2

    1915 B

    5 Cantor-Schoenflies Style Topology

    1910 B2

    1910 C

    Y10

    1910 J

    Y15

    1910 E

    1911 B2

    1913 B2

    1916 A 1916 B

    Y57

    Y58

    1915 A2

    1917 B2

    6 The New Methods in Topology

    Y16

    Y17

    Y18

    1911 C

    Y1

    Y2

    Y3

    Y4

    Y5

    1911 D 1911 M 1921 E

    1926 D2

    1911 E 1921 F

    1911 F

    1911 L

    1911 G 1911 N

    1931

    1912 C

    1912 E2

    1912 F

    1912 L

    1912 K2 1920 G2

    1912 M

    1913 A 1923 D2 1924 M

    1924 J2

    1928 C2

    1912 H

    1912 D

    Y6

    Y20

    1912 G

    1918 C 1919 E

    1918 D

    1924 K2

    7 Topology of Surfaces

    1919 L2

    Y22

    Y23

    1919 S

    1919 N2

    1919 P2

    1919 G 1919 H 1919 J

    1920 A2 + err.

    1920 B2 + err.

    1920 E

    1921 D

    8 Mechanics

    1918 E

    Y97

    Y98

    Abbreviations

    Literature

Product details

  • No. of pages: 734
  • Language: English
  • Copyright: © North Holland 1976
  • Published: January 1, 1976
  • Imprint: North Holland
  • eBook ISBN: 9781483257549

About the Editor

Hans Freudenthal

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