Formal power series

Formal sciences
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Number theory
Algebraic number theory

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Related lectures (31)

Compound Functions: Development and Analysis

Covers the development and analysis of compound functions and the importance of analyzing the larger term in power series.

Laurent Series: Definition and Properties

Covers the definition and properties of Laurent series, including convergence and function expansion.

Calcul and algorithms: first algorithm example

Covers finding the maximum value in a list and related problems.

Residues Theorem Applications

Explores applications of the residues theorem in various scenarios, with a focus on Laurent series development.

Power Series: Convergence and Applications

Covers the theory of power series, focusing on convergence criteria and applications.

Composite Function: Limited Developments

Covers the calculation of composite function developments and their composition up to order 4.

Power Series Functions: Logarithm and Exponential

Explores power series functions, particularly the logarithm and exponential functions, discussing convergence, extension, and roots of entire functions.

Power Series: Convergence and Taylor Series

Covers the convergence and Taylor series of power series, including examples and applications.

Power Series and Taylor Series

Explores power series, Taylor series, convergence criteria, and applications in mathematics.

Polynomials: Definition and Operations

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Derivatives of Entire Functions

Explores derivatives of entire functions and the use of Taylor series for function representation.

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