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Пишет Misha Verbitsky ([info]tiphareth) в [info]ljr_math
@ 2015-05-26 09:49:00


Previous Entry  Add to memories!  Tell a Friend!  Next Entry
мега-опрос про книги, часть 2.
Привет, друзья,
это вторая версия эпичного списка математических книжек,
первая была тут:
https://lj.rossia.org/community/ljr_math/46837.html
Я добавил несколько десятков книжек, которые мне предложили,
убрал особо непопулярные из старой версии, и прошу вас,
чтобы вы снова проголосовали.

В идеале, в конце должен получиться
список книг, которые очень хорошо написаны,
и могут быть рекомендованы студентам,
изучающим математику, как примеры уникального
писательского мастерства. Поэтому голосуйте
смело, и не стесняйтесь голосовать против.
Если вы хотите добавить книгу, напишите про
нее подробно в комментах; если вы хотите, чтобы
я какую-то книгу не выкидывал, тоже откомментируйте,
почему она уникально хороша. Если вы не видели какую-то
книгу, не стесняйтесь голосовать против нее,
места на полках мало, книжек много, и в случае
сомнения, лучше ее вынести нафиг. Если по какой-то
теме нет хороших книжек, не надо добавлять плохую,
и не надо голосовать за нее только из-за этого.
Принцип "из двух зол меньшее" для данного проекта
неуместен.

Если после заполнения одной части опроса, вы не видите обновления результатов,
они застряли в кэше. Перегрузите.

Поправить опрос не получается, если какие-то из книжек не туда попали,
или название развалилось на два - извиняйте.

Опрос #1151 Популярные книги
Открыт: Всем, результаты видны: Всем

Дж. И. Литлвуд. Математическая смесь.

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Среднее 5.00 Срединное значение: 5 Стандартная ошибка 4.47
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Дуглас Р. Хофстадтер. Гедель, Эшер, Бах: эта бесконечная гирлянда. Метафорическая фуга о разуме и машинах в духе Льюиса Кэрролла.

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Среднее 4.83 Срединное значение: 6 Стандартная ошибка 3.62
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Реймонд Смаллиан. Как же называется эта книга?

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Среднее 6.50 Срединное значение: 8 Стандартная ошибка 3.84
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Реймонд Смаллиан. Принцесса или тигр?

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Среднее 6.50 Срединное значение: 8 Стандартная ошибка 3.84
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Реймонд Смаллиан. Алиса в стране смекалки

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Среднее 6.00 Срединное значение: 8 Стандартная ошибка 4.32
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Мартин Гарднер. Математические досуги

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Среднее 6.67 Срединное значение: 7.5 Стандартная ошибка 3.25
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Мартин Гарднер. Крестики-нолики

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Среднее 6.67 Срединное значение: 7.5 Стандартная ошибка 3.25
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Мартин Гарднер. От мозаик Пенроуза к надёжным шифрам

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Среднее 5.75 Срединное значение: 6.5 Стандартная ошибка 3.63
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Мартин Гарднер. Колоссальная книга математики

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Среднее 5.33 Срединное значение: 6 Стандартная ошибка 4.11
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Роджер Пенроуз. Путь к реальности

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Среднее 3.50 Срединное значение: 2 Стандартная ошибка 4.09
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Ричард Ф.Фейнман. Вы, конечно, шутите, мистер Фейнман!

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Среднее 6.83 Срединное значение: 8 Стандартная ошибка 3.53
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А. Шень. Игры и стратегии с точки зрения математики

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Среднее 7.67 Срединное значение: 9 Стандартная ошибка 1.89
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А. Шень. Простые и составные числа

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Среднее 6.00 Срединное значение: 9 Стандартная ошибка 4.24
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А. Шень. Математическая индукция

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Среднее 5.67 Срединное значение: 8 Стандартная ошибка 4.03
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А. Шень. Логарифм и экспонента

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Среднее 5.67 Срединное значение: 8 Стандартная ошибка 4.03
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С. Г. Гиндикин. Рассказы о физиках и математиках.

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Среднее 4.25 Срединное значение: 5 Стандартная ошибка 2.59
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А. Гротендик. Урожаи и посевы.

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Среднее 7.00 Срединное значение: 7 Стандартная ошибка 2.78
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В. И. Арнольд. Что такое математика?

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Среднее 4.50 Срединное значение: 4.5 Стандартная ошибка 3.20
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В. И. Арнольд. Гюйгенс и Барроу, Ньютон и Гук

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Ю. И. Манин. Доказуемое и недоказуемое

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Среднее 3.50 Срединное значение: 3.5 Стандартная ошибка 3.50
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Ю. И. Манин. Вычислимое и невычислимое

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Среднее 3.50 Срединное значение: 3.5 Стандартная ошибка 3.50
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Ю. И. Манин. Математика как метафора.

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Среднее 7.33 Срединное значение: 8 Стандартная ошибка 2.29
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Сергей Бобров. Волшебный двурог.

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Среднее 3.67 Срединное значение: 5 Стандартная ошибка 2.62
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Misha Gromov. Ergostuctures, Ergologic and the Universal Learning Problem.

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Среднее 5.00 Срединное значение: 6 Стандартная ошибка 3.74
01 (33.3%) 1 (33.3%)
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Д. Рюэль. Мозг математика.

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Среднее 4.33 Срединное значение: 5 Стандартная ошибка 3.30
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Г. Харди. Апология математика.

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Среднее 6.20 Срединное значение: 8 Стандартная ошибка 3.49
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П. Локхарт. Плач математика.

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Среднее 4.60 Срединное значение: 5 Стандартная ошибка 3.72
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Опрос #1152 Литература для начинающих
Открыт: Всем, результаты видны: Всем

М. Кац, С. Улам. Математика и логика.

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Среднее 4.00 Срединное значение: 3.5 Стандартная ошибка 3.39
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Давид Гильберт, Стефан Кон-Фоссен. Наглядная Геометрия

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Среднее 3.40 Срединное значение: 2 Стандартная ошибка 2.50
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Р. Курант, Г. Роббинс. Что такое математика?

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Среднее 4.60 Срединное значение: 4 Стандартная ошибка 2.50
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И. Л. Кантор, А. С. Солодовников. Гиперкомплексные числа.

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Среднее 5.50 Срединное значение: 4.5 Стандартная ошибка 2.06
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Владимир Григорьевич Болтянский. Третья проблема Гильберта.

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Среднее 5.33 Срединное значение: 4 Стандартная ошибка 3.40
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И. М. Гельфанд, А. Шень. Алгебра.

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А. Шень. Программирование. Теоремы и задачи

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А. Шень. Задачи по математике, предлагавшие ученикам

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математического класса 57 школы

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Н. К. Верещагин, А. Шень. Начала теории множеств.

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П. С. Александров, А. И. Маркушевич, А. Я. Хинчин (ред.) Энциклопедия элементарной математики (6 томов).

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В. Б. Алексеев. Теорема Абеля в задачах и решениях.

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Б. М. Давидович, П. Е. Пушкарь, Ю. В. Чеканов. Математический анализ в 57-й школе. Четырехгодичный курс.

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М. М. Постников. Введение в теорию алгебраических чисел.

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И. Р. Шафаревич. Основные понятия алгебры.

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Т.И.Голенищева-Кутузова и др. Элементы математики в задачах. Часть 1, часть 2.

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А. А. Кириллов. Что такое число?

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D. Fuchs, S. Tabachnikov. Mathematical Omnibus: Thirty Lectures on Classic Mathematics

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В. Арнольд, Задачи для детей от 5 до 15 лет.

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Опрос #1153 Первый-второй курс
Открыт: Всем, результаты видны: Всем

Лоран Шварц. Анализ.

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В. А. Зорич. Математический анализ.

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У. Рудин. Основы математического анализа.

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Б. Гелбаум, Дж. Олмстед. Контрпримеры в анализe.

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Б. Л. Ван-дер-Варден. Алгебра.

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Э. Б. Винберг. Курс алгебры.

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Серж Ленг. Алгебра.

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М. Атья, И. Макдональд. Введение в коммутативную алгебру.

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А.И. Кострикин, Ю.И. Манин, Линейная алгебра и геометрия.

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Н. Коблиц, p-Адические числа, p-адический анализ и дзета-функции

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А. Г. Хованский. Топологическая теория Галуа: разрешимость и неразрешимость уравнений в конечном виде.

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Милнор Дж., Уоллес А. Дифференциальная топология.

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Виро О.Я., Иванов О.А., Харламов В.М., Нецветаев Н.Ю. Элементарная топология.

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А. А. Кириллов, А.Д. Гвишиани, Теоремы и задачи функционального анализа.

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А. А. Кириллов. Элементы теории представлений.

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А. Китаев, А. Шень, М. Вялый. Классические и квантовые вычисления.

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Н. Бурбаки. Теория множеств.

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Анри Картан. Элементарная теория аналитических функций одного и нескольких комплексных переменных.

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Б. В. Шабат. Введение в комплексный анализ.

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Дж. Милнор. Голоморфная динамика. Вводные лекции.

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J. Conway "A course in point set topology"

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В.И.Арнольд, Обыкновенные дифференциальные уравнения

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Постников М.М. Лекции по геометрии. Линейная алгебра

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Городенцев А. Л. Алгебра. Учебник для студентов-математиков

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Среднее 6.43 Срединное значение: 8 Стандартная ошибка 2.66
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Дональд Кнут, Роналд Грэхем, Орен Паташник. Конкретная математика.

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Среднее 5.00 Срединное значение: 5 Стандартная ошибка 3.22
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Pugh "Real Mathematical Analysis"

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Среднее 5.20 Срединное значение: 8 Стандартная ошибка 4.26
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Loring Tu "Introduction to Manifolds"

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Среднее 5.75 Срединное значение: 6.5 Стандартная ошибка 4.38
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S. Axler "Linear algebra done Right"

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P. Aluffi "Algebra Chapter 0"

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Среднее 7.83 Срединное значение: 9.5 Стандартная ошибка 2.79
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Eberhard Freitag, Rolf Busam, Complex Analysis.

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Среднее 4.50 Срединное значение: 4.5 Стандартная ошибка 4.50
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C.Б.Каток p-адический анализ в сравнении с вещественным

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Среднее 5.50 Срединное значение: 6.5 Стандартная ошибка 3.77
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T. Tao, Compactness and Contradiction

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Среднее 2.67 Срединное значение: 4 Стандартная ошибка 1.89
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С.М.Львовский Лекции по математическому анализу

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Среднее 8.38 Срединное значение: 9 Стандартная ошибка 1.58
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С.М.Львовский Лекции по комплексному анализу

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Среднее 7.60 Срединное значение: 7 Стандартная ошибка 2.06
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Ж.-П. Серр. Линейные представления конечных групп.

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Среднее 7.33 Срединное значение: 8 Стандартная ошибка 1.89
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Опрос #1154 Топология
Открыт: Всем, результаты видны: Всем

А. Хэтчер. Алгебраическая топология.

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Среднее 7.00 Срединное значение: 7 Стандартная ошибка 2.79
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А. Т. Фоменко, Д. Б. Фукс. Курс гомотопической топологии.

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Среднее 7.78 Срединное значение: 8 Стандартная ошибка 1.40
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Дж. Милнор, Дж. Сташеф. Характеристические классы.

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Среднее 8.86 Срединное значение: 9 Стандартная ошибка 1.36
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Дж. Милнор. Теорема об h-кобордизме.

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Среднее 5.00 Срединное значение: 6 Стандартная ошибка 3.08
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М. Атья. Лекции по K-теории.

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Среднее 7.80 Срединное значение: 8.5 Стандартная ошибка 2.82
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Дж. Ф. Адамс. Стабильные гомотопии и обобщенные теории когомологий.

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Среднее 6.00 Срединное значение: 7 Стандартная ошибка 3.41
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Дж. Ф. Адамс. Бесконечнократные пространства петель.

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Среднее 7.80 Срединное значение: 8 Стандартная ошибка 1.72
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Деннис Салливан. Геометрическая топология.

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Среднее 6.00 Срединное значение: 7 Стандартная ошибка 3.41
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Yves Felix, Steve Halperin, Jean-Claude Thomas. Rational Homotopy Theory.

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Среднее 6.40 Срединное значение: 8 Стандартная ошибка 3.26
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Tammo tom Dieck. Algebraic Topology.

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Среднее 5.60 Срединное значение: 9 Стандартная ошибка 4.59
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J. P. May, A Concise Course in Algebraic Topology

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Среднее 5.00 Срединное значение: 6 Стандартная ошибка 4.29
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J. P. May and K. Ponto. More Concise Algebraic Topology.

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Среднее 4.75 Срединное значение: 4.5 Стандартная ошибка 4.76
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J. Lurie. Higher Topos Theory.

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Среднее 4.75 Срединное значение: 4.5 Стандартная ошибка 4.76
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J. Lurie. Higher Algebra.

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Среднее 4.75 Срединное значение: 4.5 Стандартная ошибка 4.76
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Ф. Гриффитс, Дж. Морган. Рациональная теория гомотопий и дифференциальные формы.

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Среднее 7.00 Срединное значение: 9 Стандартная ошибка 3.63
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Опрос #1155 Алгебраическая геометрия
Открыт: Всем, результаты видны: Всем

Дж. Мамфорд. Алгебраическая геометрия. Часть 1. Комплексные проективные многообразия.

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Среднее 5.50 Срединное значение: 5.5 Стандартная ошибка 3.15
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D. Mumford. The Red Book of Varieties and Schemes

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Среднее 6.38 Срединное значение: 6.5 Стандартная ошибка 1.32
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К. Вуазен, Теория Ходжа и комплексная алгебраическая геометрия

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Среднее 8.75 Срединное значение: 9.5 Стандартная ошибка 1.48
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Р. Хартсхорн, Алгебраическая геометрия.

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Среднее 7.00 Срединное значение: 7 Стандартная ошибка 1.89
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R. Lazarsfeld. Positivity in Algebraic Geometry.

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Среднее 8.33 Срединное значение: 9 Стандартная ошибка 1.80
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Д. Каледин. Введение в алгебраическую геометрию.

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Среднее 9.29 Срединное значение: 10 Стандартная ошибка 0.88
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Ф. Гриффитс, Дж. Харрис. Принципы алгебраической геометрии.

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Среднее 8.29 Срединное значение: 8 Стандартная ошибка 1.16
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Jean-Pierre Demailly. Complex analytic and differential geometry.

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Среднее 9.43 Срединное значение: 10 Стандартная ошибка 0.73
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A. Beauville. Complex Algebraic Surfaces.

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Среднее 7.43 Срединное значение: 8 Стандартная ошибка 2.19
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Х. Клеменс, Я. Коллар, С. Мори. Многомерная комплексная геометрия.

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Среднее 5.00 Срединное значение: 7 Стандартная ошибка 3.61
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Ravi Vakil. Foundations of algebraic geometry.

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Среднее 4.71 Срединное значение: 5 Стандартная ошибка 3.61
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Qing Liu. Algebraic Geometry and Arithmetic Curves.

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Среднее 7.00 Срединное значение: 9 Стандартная ошибка 3.55
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В. И. Данилов. Алгебраические многообразия и схемы (обзор ВИНИТИ).

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Среднее 4.83 Срединное значение: 6 Стандартная ошибка 3.62
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В. И. Данилов. Когомологии алгебраических многообразий (обзор ВИНИТИ).

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Среднее 7.57 Срединное значение: 9 Стандартная ошибка 3.16
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Р. Годеман. Алгебраическая топология и теория пучков

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Среднее 7.62 Срединное значение: 8 Стандартная ошибка 1.49
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D. Eisenbud. Commutative algebra with a view toward algebraic geometry

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Среднее 6.38 Срединное значение: 7.5 Стандартная ошибка 3.12
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Kenji Matsuki "Introduction to the Mori theory"

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Среднее 4.20 Срединное значение: 5 Стандартная ошибка 3.60
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Daniel Huybrechts. Comlpex geometry: An introduction.

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Среднее 7.86 Срединное значение: 9 Стандартная ошибка 2.23
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D. Eisenbud, J. Harris, The geometry of schemes.

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Среднее 4.50 Срединное значение: 5.5 Стандартная ошибка 3.35
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Fantechi, B., Gottsche, L., Illusie, L., Kleiman, S., Nitsure, N., Vistoli, A. "Fundamental algebraic geometry. Grothendieck's FGA explained."

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Среднее 6.80 Срединное значение: 9 Стандартная ошибка 3.66
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P. Deligne. Le groupe fondamental de la droite projective moins trois points.

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Среднее 5.80 Срединное значение: 6 Стандартная ошибка 3.37
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O. Debarre. Higher-dimensional algebraic geometry.

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Среднее 6.25 Срединное значение: 7.5 Стандартная ошибка 3.77
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D. Arapura. Algebraic Geometry over the Complex Numbers.

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Среднее 6.75 Срединное значение: 8.5 Стандартная ошибка 3.96
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Опрос #1156 Гомологическая алгебра и алгебраическая К-теория
Открыт: Всем, результаты видны: Всем

С. И. Гельфанд, Ю. И. Манин Методы гомологической алгебры. Введение в когомологии и производные категории. Том 1

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Среднее 8.62 Срединное значение: 9.5 Стандартная ошибка 1.87
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А. А. Суслин. Алгебраическая К-теория и гомоморфизм норменного вычета (обзор ВИНИТИ).

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Среднее 7.60 Срединное значение: 7 Стандартная ошибка 1.62
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C. Weibel "An introduction to homological algebra"

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Среднее 8.33 Срединное значение: 9 Стандартная ошибка 1.60
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C. Weibel "The K-book"

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Среднее 7.57 Срединное значение: 8 Стандартная ошибка 1.50
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J. Rosenberg "Algebraic K-theory and its applications",

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Среднее 2.00 Срединное значение: 0 Стандартная ошибка 3.46
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А. Кузнецов. Гомологическая алгебра: записки лекций и другие материалы.

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Среднее 8.83 Срединное значение: 9 Стандартная ошибка 1.21
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Опрос #1157 Теория чисел
Открыт: Всем, результаты видны: Всем

Ж.-П. Серр. Когомологии Галуа.

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Среднее 7.50 Срединное значение: 10 Стандартная ошибка 4.33
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Ж.-П. Серр. Курс арифметики.

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Среднее 8.80 Срединное значение: 10 Стандартная ошибка 1.47
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Милнор Дж., Хьюзмоллер Д. Симплектические билинейные формы.

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Среднее 2.00 Срединное значение: 0 Стандартная ошибка 2.83
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И. Р. Шафаревич, Основы алгебраической геометрии.

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Среднее 7.20 Срединное значение: 7 Стандартная ошибка 1.60
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Ю. И. Манин. Лекции по алгебраической геометрии

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Среднее 3.50 Срединное значение: 2.5 Стандартная ошибка 3.77
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J. Neukirch. Cohomology of number fields.

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Среднее 5.00 Срединное значение: 5 Стандартная ошибка 4.08
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J. Neukirch, Algebraic number theory.

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Среднее 8.00 Срединное значение: 8.5 Стандартная ошибка 1.87
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J. Milne. Algebraic Number Theory

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Среднее 5.75 Срединное значение: 7 Стандартная ошибка 3.49
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J. Milne. Class Field Theory

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Среднее 6.25 Срединное значение: 7.5 Стандартная ошибка 3.90
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Cornell, G., Silverman, J. H. (Eds.), Arithmetic Geometry.

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Среднее 6.25 Срединное значение: 7.5 Стандартная ошибка 4.15
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Gille, Szamuely. Central Simple Algebras and Galois Cohomology.

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Среднее 2.33 Срединное значение: 0 Стандартная ошибка 3.30
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Дж. Касселс, А. Фрелих (ред.) Алгебраическая теория чисел.

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Среднее 7.25 Срединное значение: 9.5 Стандартная ошибка 4.21
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Опрос #1158 Геометрия
Открыт: Всем, результаты видны: Всем

В. И. Арнольд. Математические методы классической механики.

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Среднее 5.86 Срединное значение: 7 Стандартная ошибка 3.91
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А. С. Мищенко. Векторные расслоения и их применения.

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Среднее 9.33 Срединное значение: 10 Стандартная ошибка 0.94
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Дж. Милнор. Теория Морса.

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Среднее 9.14 Срединное значение: 9 Стандартная ошибка 0.83
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Артур Бессе. Четырёхмерная риманова геометрия. Семинар Артура Бессе 1978 - 1979

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Артур Бессе. Многообразия Эйнштейна.

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Бураго Д. Ю., Бураго Ю. Д, Иванов С. В. Курс метрической геометрии.

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М. Громов. Гиперболические группы.

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М. Громов. Знак и геометрический смысл кривизны.

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Misha Gromov. Metric structures for Riemannian and non-Riemannian spaces

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Dusa McDuff and Dietmar Salamon, Introduction to symplectic topology.

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Michele Audin, Jacques Lafontaine (editors) Holomorphic Curves in Symplectic Geometry.

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Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine, Riemannian Geometry.

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Л. Альфорс. Лекции по квазиконформным отображениям

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Р. Ботт, Л. Ту. Дифференциальные формы в алгебраической топологии.

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S. Ramanan. Global Calculus.

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D. Joyce. Compact manifolds with special holonomy.

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Элиашберг Я., Трейнор Л. (под редакцией). Лекции по симплектической геометрии и топологии.

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Среднее 8.50 Срединное значение: 9 Стандартная ошибка 1.66
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H. B. Lawson and M.-L. Michelsohn. Spin Geometry.

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J. Jost. Compact Riemann Surfaces.

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A. Moroianu, Lectures on Kahler Geometry

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C. Voisin. Geometrie differentielle (очень элементарные записки)

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M. Gromov. Carnot-Caratheodory spaces seen from within

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F. Forstneric. Stein Manifolds and Holomorphic Mappings

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S. K. Donaldson. Riemann Surfaces

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В. И. Арнольд, Б. А. Хесин. Топологические методы в гидродинамике.

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У. Тёрстон. Трехмерная геометрия и топология

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Опрос #1159 Группы и алгебры Ли
Открыт: Всем, результаты видны: Всем

М. М. Постников. Лекции по геометрии. Семестр V. Группы и алгебры Ли.

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Среднее 4.83 Срединное значение: 6.5 Стандартная ошибка 3.53
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Ж.-П. Серр. Алгебры Ли и группы Ли.

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Дьёдонне Ж., Керрол Дж., Мамфорд Д. Геометрическая теория инвариантов.

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Дж. Милнор. Введение в алгебраическую K-теорию.

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Р. Стейнберг. Лекции о группах Шевалле.

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Igor Dolgachev. Lectures on invariant theory.

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William Fulton, Joe Harris. Representation Theory. A First Course.

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Neil Chriss, Victor Ginzburg. Representation Theory and Complex Geometry.

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Дж. Ф. Адамс. Лекции по группам Ли.

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Н. Бурбаки. Группы и алгебры Ли.

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Винберг Э. Б., Онищик А. Л. Семинар по группам Ли и алгебраическим группам.

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Винберг Э.Б., Попов В.Л. Теория инвариантов (ВИНИТИ, т.55)

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Д. Б. Фукс. Когомологии бесконечномерных алгебр Ли.

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Ю. И. Манин. Введение в аффинные схемы и квантовые группы.

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A.Kirillov Jr. An Introduction to Lie Groups and Lie Algebras

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Среднее 3.33 Срединное значение: 3 Стандартная ошибка 2.87
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Х. Крафт. Геометрические методы в теории инвариантов

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Дж. Хамфрис, Введение в теорию алгебр Ли и их представлений.

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T. A. Springer, Linear algebraic groups.

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A. Borel. Linear algebraic groups.

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A. Borel, Essays in the History of Lie Groups and Algebraic Groups.

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P. Etingof et al., Introduction to Representation Theory.

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C. Procesi, Lie Groups. An Approach through Invariants and Representations

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Опрос #1160 Анализ
Открыт: Всем, результаты видны: Всем

У. Рудин. Функциональный анализ.

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А. Я. Хелемский. Лекции по функциональному анализу.

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Nicole Berline, Ezra Getzler, Michele Vergne. Heat Kernels and Dirac Operators.

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David Gilbarg, Neil S. Trudinger. Elliptic Partial Differential Equations of Second Order.

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М. Рид, Б. Саймон. Методы современной математической физики.

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Н. Бурбаки. Топологические векторные пространства.

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Л. Хермандер. Анализ линейных дифференциальных операторов с частными производными. В четырёх томах.

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Среднее 3.25 Срединное значение: 2.5 Стандартная ошибка 3.42
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Л. Хермандер. Введение в теорию функций нескольких комплексных переменных.

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Р. Уэллс. Дифференциальное исчисление на комплексных многообразиях.

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Р. Ганнинг, X. Росси. Аналитические функции многих комплексных переменных.

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Н. М. Мишачев, Я. М. Элиашберг. Введение в h-принцип.

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G. B. Folland. Real analysis.

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Дж. Мёрфи. C*-алгебры и теория операторов

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K. Davidson, C*-algebras by example

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M. Takesaki. Theory of operator algebras

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A. Connes. Noncommutative geometry.

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J. B. Conway. A course in functional analysis.

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Среднее 4.33 Срединное значение: 4 Стандартная ошибка 4.35
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В. И. Арнольд. Дополнительные главы теории обыкновенных дифференциальных уравнений.

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Yulij Ilyashenko and Sergei Yakovenko. Lectures on analytic differential equations.

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В.И.Богачев, О.Г.Смолянов. Топологические векторные пространства и их приложения

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В.И.Богачев, О.Г.Смолянов. Действительный и функциональный анализ.

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Опрос #1161 Теория меры, вероятность, стохастика, эргодическая теория
Открыт: Всем, результаты видны: Всем

Terrence Tao. An Introduction to Measure Theory.

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Terrence Tao. Hilbert's Fifth Problem and Related Topics.

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Terrence Tao. An Epsilon of Room (pages from year three of a mathematical blog).

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Каток А.Б., Хасселблат Б. Введение в современную теорию динамических систем

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Синай Я.Г. Введение в эргодическую теорию.

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J. -P. Eckmann and D. Ruelle. Ergodic theory of chaos and strange attractors.

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Dave Morris. Ratner's Theorems on Unipotent Flows.

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(Добавить комментарий)


(Анонимно)
2015-05-26 12:02 (ссылка)
да хуле бы ты понимал в этом
таблицу умножения сначала выучи, придурок

(Ответить) (Ветвь дискуссии)


(Анонимно)
2015-05-26 15:30 (ссылка)
зашёл прочитать этот комент

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(Анонимно)
2015-05-27 03:01 (ссылка)
ну дважды два он может и знает, но такие нестандартные вещи, как семью восемь - это вряд ли

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(Анонимно)
2015-05-26 12:17 (ссылка)
Миша, добавь, пожалуйста, Dummit-Foote «Abstract Algebra»

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[info]maniga
2015-05-26 12:25 (ссылка)
Существенный по-моему пропуск:

Mumford - Lectures on curves on an algebraic surface

очень хорошая книжка, для меня был лучший способ увидеть все эти когомологии в действии.

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[info]tiphareth
2015-05-26 12:40 (ссылка)
по-моему, самая ужасная из всех
в наше время она была дефолтом, и я ее читал, потому что других не было, все читали
хуже книжки по а.г. не знаю вообще
это, кажется, консенсус, по крайней мере тогда был

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[info]maniga
2015-05-26 13:00 (ссылка)
тут по-моему та же история, что с ван дер варденом и хамфрисом, есть некая поляризация, согласно вкусам. мамфорд ещё очень алгебраический, может поэтому у тебя идиосинкразию вызывает

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[info]tiphareth
2015-05-26 21:19 (ссылка)
не, он у всех дикий батхерт вызывал, пока его невозможно было избежать
мне Каждан рассказывал, он по этой книжке учился

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[info]kaledin
2016-02-29 03:45 (ссылка)
Замечательная книжка.

Выучить с нуля по ней ничего нельзя, положим; но понять после мудака-Хартсхорна, нафиг все это нужно, помогает хорошо. У меня в свое время не было, а жаль.

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[info]maniga
2015-05-26 13:47 (ссылка)
ещё ратую за добавление Bosch Lutkbohmert Raynaud, Neron models в список (наверное в арифметику?). хорошо написана и рассказывает важные сюжеты (построение якобиана, Artin's representability)

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(Анонимно)
2015-05-26 15:22 (ссылка)
vot eshche spisok knig:
http://webusers.imj-prg.fr/~pierre.schapira/onlinecourses/BibSel.doc

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(Анонимно)
2015-05-27 01:10 (ссылка)
Ростелеком по жесткачу блокирует, тупо сервер http://lj.rossia.org и https://lj.rossia.org не видит.

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(Анонимно)
2015-05-27 01:50 (ссылка)
Я бы добавил:
1. Algebra, M. Artin
2. Introduction to Smooth manifolds, Introduction to Topological manifolds, Riemannian manifolds, by John Lee.
3. Analysis by Stein & Shakarchi, in 4 volumes
4. Visual Complex Analysis, Tristan Needham
5. Elements of Algebra, Elements of Number Theory, and Naive Lie Theory by John Stillwell
6. A Combinatorial Introduction to Topology, Michael Henle
--
YG

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[info]niktoinikak.livejournal.com
2015-05-29 23:49 (ссылка)
Миша, а почему я не могу проголосовать?

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(Анонимно)
2015-06-08 01:25 (ссылка)
плюс в список общие руководства к действию: Дж. Пойа: "Математическое открытие" и его же "Математика и правдоподобные рассуждения", "Как решать задачу".

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Петухи и матфак
(Анонимно)
2015-07-29 18:17 (ссылка)
Миша, а правда, что на матфаке ВШЭ все петухи? Просто хочу туда поступить в следующем году, но как увидел некоторых студентов, то понял, что там одна петушня и теперь уже не хочу туда поступать. Спасибо за ответ!

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[info]phantom
2016-03-05 15:18 (ссылка)
Босс - Математика и интуиция. А также его "трактат". Странно, что никто не упомянул.

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