L. E. J. Brouwer Collected Works
Geometry, Analysis, Topology and Mechanics
- 1st Edition - January 1, 1976
- Latest edition
- Editor: Hans Freudenthal
- Language: English
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 more
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Description
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
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
Product details
- Edition: 1
- Latest edition
- Published: January 1, 1976
- Language: English
View book on ScienceDirect
View book on ScienceDirect
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