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Concept

Euler's formula

Related lectures (29)

Euler and Moivre Formulas MOOC: Analysis I MOOC: Analysis I (part 2) : Introduction to complex numbers

Covers Euler and Moivre formulas, addition formulas, properties of exponentials, and generalizing sine and cosine definitions to complex numbers.

Complex Numbers: Properties and Operations

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Complex Exponential: Properties and Formulas

Delves into complex exponential functions, their properties, and polar representation of complex numbers.

Complex Numbers: Properties and Applications

Explores properties and applications of complex numbers, including De Moivre's theorem and finding complex roots.

Complex Numbers: Operations and Representations

Covers the operations and representations of complex numbers, including the Cartesian and polar forms.

Euler and Moivre Formulas: Complex Numbers Analysis

Covers the Euler and Moivre formulas for complex numbers analysis.

Euler's Formula Demonstration MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Covers the demonstration of Euler's formula and its applications.

Black Holes: Renormalisation Group

Covers black holes and the renormalisation group, providing detailed information on these concepts.

Complex Exponential: De Moivre's Formula

Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.

Wave Equations: Vibrating String

Explores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.

Introduction to Complex Numbers MOOC: Analysis I MOOC: Analysis I (part 2) : Introduction to complex numbers

Introduces complex numbers, their representations, formulas, and algebraic equations.

Interpretation of Taylor's Formula: An Example MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Covers the interpretation of Taylor's formula through an example, focusing on developing limited series for sin(x) around a=0.

Gradient and Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Complex Numbers: Polar Form

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Taylor's Formula in Two Variables

Explores Taylor's formula in two variables, emphasizing its application and importance for functions of a single variable.

Set Union: Basics and Properties

Introduces set union, its properties, and examples with Euler course contest participants.

Nth Derivative MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Explores obtaining n-th derivatives through a recursive process and the regularity of functions defined by power series.

Buckling of Straight Beams Log in to Mediaspace to watch this video

Explores the buckling phenomenon in straight beams due to material breakage or buckling stress being exceeded.

Complex Numbers: Operations and Properties Log in to Mediaspace to watch this video

Explores complex numbers, including modulus, conjugation, and Euler formula.