Lectures related to Integration on H_pxH and Arithme

Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Weierstrass Preparation Theorem

Explores the Weierstrass Preparation Theorem for entire functions and the construction of root sequences.

Modular Arithmetic: Foundations and Applications

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Fundamental Theorem of Arithmetic

Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.

Nonlinear Equations: Fixed Point Method Convergence

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Number Theory: Fundamental Concepts

Covers binary addition, prime numbers, and the sieve of Eratosthenes in number theory.

Analyse II 2021: Course Organization

Covers the organization of the Analyse II course for 2021, including webinars, exercises, and the final exam.

Polynomial Equations: Solving Methods

Covers various methods for solving polynomial equations through examples.

Groups and Numbers: Hidden Subgroup Problem

Explores groups and numbers, emphasizing the hidden subgroup problem and its complexities in classic and quantum algorithms.

Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Fixed Point Theorem: Convergence of Newton's Method

Covers the fixed point theorem and the convergence of Newton's method, emphasizing the importance of function choice and derivative behavior for successful iteration.

Analysis IV: Convergence Theorems and Integrable Functions

Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.

Continuity and Derivability in Heat Analysis

Explores continuity and derivability in heat analysis, emphasizing uniform convergence and mathematical proofs.

Factorisation: Polynomials and Theorem

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.

Complex Integration and Cauchy's Theorem

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Integer Factorization: Quadratic Sieve

Covers the Quadratic Sieve method for integer factorization, emphasizing the importance of choosing the right parameters for efficient factorization.

Integration: Rational Functions

Covers integration techniques for rational functions, including decomposition and factorization.

Polynomial Regulator Design

Covers the design of polynomial regulators using the RST method.

Inductive Propositions: Reasoning and Evaluation Techniques

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.