Abstract Algebra with Benedict Gross [2003, Mathematics, CAMRip, ENG]
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Files
| 1.Introduction.Linear Algebra,Definition of groups.mov | 209.55 MB | ||
| 10.Bases and vectorspaces, matrice and linear transformations.mov | 233.82 MB | ||
| 11.Bases, matrices.mov | 214.46 MB | ||
| 12.Eigenvalues and eigenvectors.mov | 203.65 MB | ||
| 13.Review, orthogonal group.mov | 222.78 MB | ||
| 14.Orthogonal groups and geometry.mov | 223.47 MB | ||
| 15.Finite groups of motions.mov | 226.35 MB | ||
| 16.Discrete groups of motions.mov | 228.82 MB | ||
| 17.Discrete groups of motions, abstract group actions.mov | 193.01 MB | ||
| 18.Group actions.mov | 217.52 MB | ||
| 19.Group actions part 2.mov | 214.47 MB | ||
| 2.Generalities on groups, symmetric groups on n letters, subgroups of Z, cyclic subgroups.mov | 209.65 MB | ||
| 20.Group actions, basic properties and constructions part1.mov | 230.13 MB | ||
| 21.Group actions, basic properties and constructions part2.mov | 220.35 MB | ||
| 22.Group actions, basic properties and constructions part3.mov | 225.31 MB | ||
| 23.Alternating group structure.mov | 244.1 MB | ||
| 24.Rings part1.mov | 204.47 MB | ||
| 25.Rings part 2.mov | 209.3 MB | ||
| 26.Rings, examples, properties and constructions part1.mov | 216.85 MB | ||
| 27.Rings, examples, properties and constructions part2.mov | 205.66 MB | ||
| 28.Rings, examples, properties and constructions part3.mov | 212.61 MB | ||
| 29.Quotient groups, extensions of rings, integral domains, fields of fractions.mov | 210.25 MB | ||
| 3.Isomorphisms, homomorphisms, images.mov | 210.16 MB | ||
| 30.Special lecture part1.mov | 228.31 MB | ||
| 31.Special lecture part2.mov | 181.39 MB | ||
| 32.Special lecture part3.mov | 215.34 MB | ||
| 33.Euclidian domains,PIDs,UFDs,Eisenstein's criterion, algebraic integers part1.mov | 214.58 MB | ||
| 34.Euclidian domains,PIDs,UFDs,Eisenstein's criterion, algebraic integers part2.mov | 216.67 MB | ||
| 35.Euclidian domains,PIDs,UFDs,Eisenstein's criterion, algebraic integers part3.mov | 248.58 MB | ||
| 36.Structure of ring of integers in a quadratic field,Dedekind domains,ideal class groups.mov | 222.7 MB | ||
| 4.Kernels, normality, centers and inner autos.mov | 223.1 MB | ||
| 5.Equivalence relations, cosets.mov | 198.26 MB | ||
| 6.Congruences mod n.mov | 219.78 MB | ||
| 7.Quotients.mov | 167.4 MB | ||
| 8.More on quotients, vectorspaces.mov | 218.19 MB | ||
| 9.Quotients and vector spaces part 2.mov | 218.11 MB | ||
| Review part1.mov | 211.46 MB | ||
| Review part2.mov | 261.87 MB | ||
| ▲ 38 total files | |||
Description
Обучающие видео » Видеоуроки и обучающие интерактивные DVD » Образование
Abstract Algebra with Benedict Gross (Harvard Extension School)
Страна: США
Тематика: Математика
Тип раздаваемого материала: Видеолекции
Продолжительность: 38x1hour
Год выпуска: 2003
Язык: Английский
Перевод: Отсутствует
Описание: Алгебра - язык современной математики. Курс лекций знакомит студентов с этим языком. В лекциях идет речь об основных алгебраических структурах - группах, кольцах, полях, отображениях. Курс рассчитан на студентов младших курсов, но будет интересен изучающим математику любого уровня.
Лектор - Бенедикт Гросс (Benedict Gross), PhD, George Vasmer Leverett Professor of Mathematics, Harvard University. http://www.math.harvard.edu/~gross/
Записи лекций являются частью онлайн-курса по математике в Harvard Extension School.
http://www.extension.harvard.edu/openlearning/math222/
Качество : CAMRip
Формат: MOV
Видео: 320x240 (4:3), 29.97fps, AVC ~518 kbps, 0.225 bit/pixel
Аудио: (eng) 32kHz, AAC, 1 channel, ~64 kbps
[spoiler="Содержание"]
1. Introduction.Linear Algebra,Definition of groups
2. Generalities on groups, symmetric groups on n letters, subgroups of Z, cyclic subgroups
3. Isomorphisms, homomorphisms, images
4. Kernels, normality, centers and inner autos
5. Equivalence relations, cosets
6. Congruences mod n
7. Quotients
8. More on quotients, vectorspaces
9. Quotients and vector spaces part 2
10. Bases and vectorspaces, matrice and linear transformations
11. Bases, matrices
12. Eigenvalues and eigenvectors
13. Review, orthogonal group
14. Orthogonal groups and geometry
15. Finite groups of motions
16. Discrete groups of motions
17. Discrete groups of motions, abstract group actions
18. Group actions
19. Group actions part 2
20. Group actions, basic properties and constructions part1
21. Group actions, basic properties and constructions part2
22. Group actions, basic properties and constructions part3
23. Alternating group structure
24. Rings part 1
25. Rings part 2
26. Rings, examples, properties and constructions part1
27. Rings, examples, properties and constructions part2
28. Rings, examples, properties and constructions part3
29. Quotient groups, extensions of rings, integral domains, fields of fractions
30. Special lecture part1
31. Special lecture part2
32. Special lecture part3.mov
33. Euclidian domains,PIDs,UFDs,Eisenstein's criterion, algebraic integers part1
34. Euclidian domains,PIDs,UFDs,Eisenstein's criterion, algebraic integers part2
35. Euclidian domains,PIDs,UFDs,Eisenstein's criterion, algebraic integers part3
36. Structure of ring of integers in a quadratic field,Dedekind domains,ideal class groups
Review part 1
Review part 2
[/spoiler]
[spoiler="Скриншоты"]
[/spoiler]
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