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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.
The Life of L. E. J. Brouwer
Bibliography of L. E. J. Brouwer
1 Non-Euclidean Spaces and Integral Theorems
2 Lie Groups
1909 C 1910 G
3 Toward the Plane Translation Theorem
1909 H2 1909 H1
1910 F 1910 L 1919 F
4 Vector Fields on Surfaces
5 Cantor-Schoenflies Style Topology
1916 A 1916 B
6 The New Methods in Topology
1911 D 1911 M 1921 E
1911 E 1921 F
1911 G 1911 N
1912 K2 1920 G2
1913 A 1923 D2 1924 M
1918 C 1919 E
7 Topology of Surfaces
1919 G 1919 H 1919 J
1920 A2 + err.
1920 B2 + err.
- No. of pages:
- © North Holland 1976
- 1st January 1976
- North Holland
- eBook ISBN:
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