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Маркушевич А. И. "Теория аналитических функций. Том 2. Дальнейшее построение теории"
Маркушевич А. И. "Теория аналитических функций. Том 2. Дальнейшее построение теории"
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Маркушевич А. И. "Теория аналитических функций. Том 2. Дальнейшее построение теории"

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Описание

Книга — весьма обстоятельное руководство по теории аналитических функций одного комплексного переменного, она написана на основе лекций, которые автор в течение ряда лет читал студентам механико-математического факультета МГУ. Материал учебника доступен для читателя, владеющего математикой в объеме первых двух курсов физико-математического факультета университета или педагогического института.
В первом томе изложены начала теории: дифференцируемость и ее геометрический смысл, элементарные функции, интегралы и степенные ряды, ряды Лорана и Дирихле, вычеты, обратные и неявные функции.
Во втором томе изложены следующие вопросы: конформные отображения, приближение функций многочленами, гармонические и субгармонические функции, гидромеханический смысл аналитических функций, функции ограниченного вида, целые и мероморфные функции, понятие римановой поверхности, аналитическое продолжение.
Учебник предназначен для студентов математических и физических специальностей вузов.

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9785811409297
Год издания
2009
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