Moderne Algebra is a two-volume German textbook on graduate abstract algebra by Bartel Leendert van der Waerden (1930, 1931), originally based on lectures...
10 KB (1,101 words) - 15:27, 26 August 2024
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...
32 KB (4,185 words) - 14:05, 4 June 2024
Emmy Noether (section Work in abstract algebra)
textbook, Moderne Algebra. By the time of her plenary address at the 1932 International Congress of Mathematicians in Zürich, her algebraic acumen was...
127 KB (14,690 words) - 09:15, 23 August 2024
Ring (mathematics) (redirect from Ring (algebra))
commutative algebra". v2.23. Rotman, Joseph (1998), Galois Theory (2nd ed.), Springer, ISBN 0-387-98541-7 van der Waerden, Bartel Leendert (1930), Moderne Algebra...
99 KB (13,632 words) - 06:07, 27 August 2024
Elimination theory (category Computer algebra)
(1930) of Bartel van der Waerden's Moderne Algebra. After that, elimination theory was ignored by most algebraic geometers for almost thirty years, until...
5 KB (660 words) - 05:45, 25 January 2024
sequel to Moderne Algebra (1930), which Bartel van der Waerden published as his version of notes taken in a course with Artin, Geometric Algebra is a research...
7 KB (910 words) - 16:04, 16 February 2024
27th year, Van der Waerden published his Moderne Algebra, an influential two-volume treatise on abstract algebra, still cited, and perhaps the first treatise...
8 KB (791 words) - 21:04, 24 August 2024
List of important publications in mathematics (redirect from List of publications in abstract algebra)
(1770) Also known as Elements of Algebra, Euler's textbook on elementary algebra is one of the first to set out algebra in the modern form we would recognize...
98 KB (10,643 words) - 15:39, 9 August 2024
Isomorphism theorems (section Universal algebra)
later, B.L. van der Waerden published his influential Moderne Algebra, the first abstract algebra textbook that took the groups-rings-fields approach to...
25 KB (3,467 words) - 11:27, 10 January 2024
America, between 1890 and 1950 in the tradition of modernist literature Moderne Algebra (1930), first textbook to axiomatically develop groups, rings, and...
2 KB (288 words) - 20:30, 15 February 2023
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
61 KB (7,500 words) - 06:41, 31 July 2024
Galois extension (redirect from Algebraically normal)
Bartel Leendert (1931). Moderne Algebra (in German). Berlin: Springer.. English translation (of 2nd revised edition): Modern algebra. New York: Frederick...
8 KB (1,100 words) - 22:29, 3 May 2024
Bartel Leendert (1931). Moderne Algebra (in German). Berlin: Springer.. English translation (of 2nd revised edition): Modern Algebra. New York: Frederick...
32 KB (4,192 words) - 06:56, 26 June 2024
John von Neumann (section Operator algebras)
2023-09-25. van der Waerden, B. L. (1975). "On the sources of my book Moderne algebra". Historia Mathematica. 2 (1): 31–40. doi:10.1016/0315-0860(75)90034-8...
205 KB (23,374 words) - 14:58, 27 August 2024
Matroid (section Matroids from linear algebra)
403–408. doi:10.1112/jlms/s2-18.3.403. van der Waerden, B.L. (1937). Moderne Algebra. Welsh, D.J.A. (1976). Matroid Theory. L.M.S. Monographs. Vol. 8. Academic...
60 KB (8,752 words) - 21:40, 19 August 2024
logic. Modern algebra Occasionally used for abstract algebra. The term was coined by van der Waerden as the title of his book Moderne Algebra, which was...
71 KB (7,685 words) - 12:05, 29 August 2024
characterizes his planar graph theorem. Bartel van der Waerden publishes Moderne Algebra. March 5 – Danish painter Einar Wegener begins to undergo sexual reassignment...
11 KB (1,076 words) - 17:03, 16 June 2024
Plane-based geometric algebra is an application of Clifford algebra to modelling planes, lines, points, and rigid transformations. Generally this is with...
34 KB (4,198 words) - 00:23, 11 July 2024
Mathematics education (redirect from Advanced algebra)
need to spend a long time learning to express algebraic properties without symbols before learning algebraic notation. When learning symbols, many students...
56 KB (6,006 words) - 04:54, 25 July 2024
Leçons d'algèbre moderne. Dunod. 1961. Lectures on Modern Algebra. Edinburgh: Oliver and Boyd. 1967. (English translation) Lecciones de álgebra moderna. Reverté...
4 KB (231 words) - 10:50, 21 August 2024
Babylonian mathematics (section Algebra)
tablets date from 1800 to 1600 BC, and cover topics that include fractions, algebra, quadratic and cubic equations and the Pythagorean theorem. The Babylonian...
23 KB (2,824 words) - 11:45, 26 August 2024
German, for example the lectures on the theory of algebraic numbers by Erich Hecke, the book Moderne Algebra by Bartel Leendert van der Waerden, the Problems...
7 KB (603 words) - 16:40, 15 July 2024
Monthly notebooks for mathematics 66.5 (1962): 397-409. Fenchel, Käte. "Moderne Algebra, Erster Teil, 2. Auflage.(Die Grundlehren der mathematischen Wissenschaften...
5 KB (525 words) - 05:15, 9 August 2024
Pythagorean theorem (section Algebraic proofs)
theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. When Euclidean space...
93 KB (12,572 words) - 10:57, 28 August 2024
Compléments d'algèbre moderne, 1969 Notions fondamentales d'algèbre moderne, 1967 Rafał Abłamowicz, Pertti Lounesto (eds.): Clifford algebras and spinor structures:...
7 KB (696 words) - 17:26, 5 April 2022
August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory...
11 KB (942 words) - 09:41, 20 August 2024
introduced the Picard group in the theory of algebraic surfaces, which describes the classes of algebraic curves on the surface modulo linear equivalence...
10 KB (732 words) - 18:48, 18 August 2024
Plankalkül has drawn comparisons to the language APL, and to relational algebra. It includes assignment statements, subroutines, conditional statements...
30 KB (2,708 words) - 07:29, 20 August 2024
except the Tarrasch (which he awarded an exclamation mark) in his book Die moderne Schachpartie. (See chess punctuation.) The Tarrasch Defense is considered...
5 KB (597 words) - 20:19, 5 May 2023
Où va la peinture moderne?, written with Fernand Léger, Bulletin de l'Effort moderne, February 1924, 5–6 Bulletin de l'Effort moderne, June 1924, No. 6...
105 KB (12,279 words) - 20:49, 24 August 2024