Lectures related to Quadratic sieve

Integer Factorization: Quadratic Sieve

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

Powder Treatment: Milling and Classification

Explores planetary ball milling, particle breakage mechanisms, and classification techniques for powder treatment processes.

Sieving of Atomized Ceramic Powder with 50 Micron Sieve

Explores ceramic materials processing, slip casting, powder flow, sieving atomized powders, suspension stability, and sedimentation volume measurement.

Granulation of Ceramic Suspension by Atomization

Explores the granulation of ceramic suspension through atomization and related processes such as slip casting and density measurements.

Computing with Infinite Sequences

Introduces lazy lists for computing infinite sequences like prime numbers.

Integer Factorization: Quadratic Sieve

Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.

Complex Eigenvalues Appendix

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

Ceramic Materials Processing: Techniques and Analysis

Explores ceramic materials processing techniques like laser diffraction, sieving, sedimentation testing, slip casting, and density determination.

Number Theory: Primes

Covers the definition of primes, the Fundamental Theorem of Arithmetic, and Euclid's Theorem.

Galois Fields and Elliptic Curves

Introduces Galois fields, elliptic curves, factorization algorithms, and the discrete logarithm problem in cryptography.

RSA Cryptography: Primality Testing and Quadratic Residues

Explores RSA cryptography, covering primality testing, quadratic residues, and cryptographic applications.

Number Theory: Fundamental Concepts

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

Infinite Sequences: Laziness

Covers lazy lists, infinite sequences, prime numbers, and list processing challenges.

Primes: Fundamental Theorem and Sieve of Eratosthenes

Explores primes, the Fundamental Theorem of Arithmetic, trial division, the Sieve of Eratosthenes, and Euclid's Theorem.

Examples: Polynomial Factorization

Covers polynomial factorization examples and polynomial division in complex numbers.

The Fundamental Theorem of Algebra

Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

Biodegradable Plastic in Compost

Covers composting biodegradable plastics, including collection, shredding, sieving, certification standards, and end-of-life options.

Elliptic Curve Cryptography: Basics and Applications

Explores the basics and applications of elliptic curve cryptography, covering ECM factorization, standard curves, practical examples, and real-world implementations.