Математическа физика

Математическата физика е научна дисциплина, която в основата си е приложение на математически методи за решаване на физични проблеми и формулиране на физични теории.

Тя е раздел както на математиката, така и на физиката и изучава частни диференциални уравнения, често срещащи се и в теоретичната физика като например уравнението на топлопроводността. Теорията на частните диференциални уравнения и свързаните с нея Фурие анализ и векторен анализ са най-тясно свързани с математическата физика през периода 1890 – 1930. Приложенията им във физиката са в областта на хидродинамиката, акустиката, термодинамиката, електромагнетизма и аеродинамиката.

Теорията на спектроскопията и квантовата механика са разработени почти едновременно с линейната алгебра и функционалния анализ, които също са част от математическата физика.

Специалната теория на относителността, общата теория на относителността и квантовата теория на полето способстват за развитие на теория на групите, диференциалната геометрия и топологията. Следва построяването на „обобщаващи“ теории на елементарните частици, които обикновено се формулират в многомерно пространство с помощта на струни, суперсиметрия и теория на вероятностите.

Външни препратки

  • EqWorld – Свят на математическите уравнения. Съдържа обширна информация за линейните и нелинейните уравнения на математическата физика (уравнения с частни производни), интегрални уравнения и други математически уравнения.
  • This week's finds in mathematical physics – От Джон Бейз (John Baez) Седмичен обзор на прогреса в математическата физика (във второто значение дефинирано по-горе).
Области
Алгебра (Абстрактна алгебра  · Линейна алгебра) | Математически анализ (Векторен анализ  · Комплексен анализ · Функционален анализ  · Хармоничен анализ) | Аритметика | Геометрия (Аналитична геометрия  · Диференциална геометрия  · Евклидова геометрия  · Стереометрия · Тригонометрия) | Дискретна математика | Математическа логика | Математическа статистика | Математическа физика | Теория на множествата | Теория на числата | Теория на вероятностите | Топология (Алгебрична топология) | Числен анализ
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