L. E. J. Brouwer Collected Works
Geometry, Analysis, Topology and Mechanics
Published on 12. May 2014
734 pages
978-1-4832-5754-9 (ISBN)
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.
More details
Content
PrefaceThe Life of L. E. J. BrouwerBibliography of L. E. J. Brouwer1 Non-Euclidean Spaces and Integral Theorems 1904 A2 1904 B2 1904 C2 1906 A2 1919 Q2 1906 B2 1906 C22 Lie Groups 1908 D2 Y8 1909 B 1909 C 1910 G Y43 Y44 Y45 1910 H 1911 K 1909 E3 Toward the Plane Translation Theorem 1909 F2 1909 H2 1909 H1 1911 H2 1911 J2 1910 F 1910 L 1919 F 1912 B 1919 M24 Vector Fields on Surfaces 1909 G2 1910 A2 1910 D2 1915 B5 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 B26 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 K27 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 D8 Mechanics 1918 E Y97 Y98AbbreviationsLiterature
