Complex analysis: Exp, log, sin, cos

Автор: Richard E Borcherds

Загружено: 2021-03-02

Просмотров: 29981

Описание: This lecture is part of an online undergraduate course on complex analys

We show how to extend the elementary transcendental functions (exp, log, sin, cos, and so on) to complex numbers. In particular we describe Euler's discovery that exponential and trigonometric functions are essentially the same, and give some applications.

For the other lectures in the course see • Complex analysis

Не удается загрузить Youtube-плеер. Проверьте блокировку Youtube в вашей сети.
Повторяем попытку...

Complex analysis: Exp, log, sin, cos

Доступные форматы для скачивания:

Скачать видео

Информация по загрузке:

Скачать аудио

Похожие видео

Complex analysis: Holomorphic functions

Complex analysis: Holomorphic functions

Complex analysis: Roots

Complex analysis: Roots

Complex Logarithm, Branch Points, and Branch Cuts

Complex Logarithm, Branch Points, and Branch Cuts

can we have sin(i)?

can we have sin(i)?

Complex analysis: Residue calculus

Complex analysis: Residue calculus

Complex Analysis L04: The Complex Logarithm, Log(z)

Complex Analysis L04: The Complex Logarithm, Log(z)

Engineering Math: Crash Course in Complex Analysis

Engineering Math: Crash Course in Complex Analysis

Complex analysis: Elliptic functions

Complex analysis: Elliptic functions

Solving sin(x)^sin(x)=2

Solving sin(x)^sin(x)=2

Complex analysis: Zeta function functional equation

Complex analysis: Zeta function functional equation

Complex analysis: Singularities

Complex analysis: Singularities

The intuition and implications of the complex derivative

The intuition and implications of the complex derivative

Why π is in the normal distribution (beyond integral tricks)

Why π is in the normal distribution (beyond integral tricks)

Complex Analysis: Conformal Mappings

Complex Analysis: Conformal Mappings

Judit Polgar vs Garry Kasparov📍 Dos Hermanas 1996 🏆 Kasparov Wins in 90 Moves

Judit Polgar vs Garry Kasparov📍 Dos Hermanas 1996 🏆 Kasparov Wins in 90 Moves

Complex analysis: Integration

Complex analysis: Integration

Complex analysis

Complex analysis

A beautiful result in calculus: Solution using complex analysis ( Integral cos(x)/(x^2+1) )

A beautiful result in calculus: Solution using complex analysis ( Integral cos(x)/(x^2+1) )

Комплексный анализ L09: Комплексные остатки

Комплексный анализ L09: Комплексные остатки

Alexander Grischuk vs Magnus Carlsen | Crazy Crazy Chess!

Alexander Grischuk vs Magnus Carlsen | Crazy Crazy Chess!