Arithmetic Courses and Certifications

Insights into Mathematics

Measurement, Approximation and Interval Arithmetic - Real Numbers and Limits Math Foundations

Explores interval arithmetic for natural numbers and integers, covering definitions, inequalities, arithmetic operations, and applications in measurement and counting. Lays foundations for mathematical reasoning.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Insights into Mathematics

An Introduction to Algebraic Curves - Arithmetic and Geometry Math Foundations

Explore the history and concepts of algebraic curves, from ancient Greek spirals to modern polynomial approaches, setting the stage for generalizing algebraic calculus beyond functions.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Insights into Mathematics

Object-Oriented Versus Expression-Oriented Mathematics - Arithmetic and Geometry Math Foundations

Exploring the shift from object-oriented to expression-oriented mathematics, focusing on the unit circle as a key example and discussing various interpretations and approaches in modern mathematics.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Professor Leonard

Arithmetic Sequences - Precalculus - College Algebra

Learn to identify and create arithmetic sequences by finding common differences and first terms in this concise, practical lesson.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Michael Penn

Modular Arithmetic - Number Theory

Explore fundamental concepts of modular arithmetic in number theory, including congruence relations, modular operations, and their applications in mathematics.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Sundeep Saradhi Kanthety

Arithmetic Operations on Arrays in NumPy - Python Programming

Learn essential NumPy array arithmetic operations including addition, subtraction, multiplication, division, modulo, power, reciprocal, and complex number handling for efficient Python data manipulation.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Insights into Mathematics

Modular Arithmetic With Fermat and Euler - Data Structures in Mathematics Math Foundations

Explore Fermat's and Euler's theorems in modular arithmetic, learning to simplify calculations and solve problems like z mod 13 through practical examples and applications.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Steve Brunton

Complex Analysis - Overview & Motivation, Complex Arithmetic, Euler's Formula & Polar Coordinates

Introduction to complex numbers, their arithmetic operations, Euler's formula, and polar coordinates. Covers solutions to differential equations and lays foundation for further complex analysis topics.

• YouTube
• 29 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

NumPy: Introduction, Installation, Attributes, and Arithmetic Operations

Master NumPy fundamentals: installation, attributes, and arithmetic operations for efficient numerical computing in Python.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Arithmetic and Diophantine Geometry via Ergodic Theory and O-Minimality

Explore cutting-edge research in arithmetic geometry, Diophantine theory, ergodic systems, and Hodge theory through expert presentations honoring Emmanuel Ullmo's contributions.

• YouTube
• 21 hours 2 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days Tenth Anniversary Edition

Explore discrete mathematics and number theory applications in theoretical physics through combinatorial structures, Hopf algebras, and computational methods.

• YouTube
• 19 hours 22 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Explore cutting-edge advances in arithmetic algebraic geometry through expert lectures honoring mathematician Jan Nekovář's contributions to the field.

• YouTube
• 22 hours 11 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days 2022

Explore advanced discrete mathematics and number theory applications in theoretical physics, covering renormalization, combinatorial structures, and computational methods.

• YouTube
• 14 hours 29 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Franco-Asian Summer School on Arithmetic Geometry

Delve into advanced arithmetic geometry through expert lectures on p-adic cohomology, Galois representations, and Simpson correspondence from leading mathematicians.

• YouTube
• 23 hours 46 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days

Explore advanced discrete mathematics and number theory applications in theoretical physics through expert lectures on combinatorial structures, algebraic geometry, and computational methods.

• YouTube
• 16 hours 14 minutes
• On-Demand
• Free Video