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#Complex Numbers

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Tyler Wallace

PreCalculus I

1 rewiews
Comprehensive exploration of fundamental precalculus concepts, covering exponents, functions, polynomials, and logarithms, with practical applications and problem-solving techniques.
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25 Lesons
13 hours
On-Demand
Free-Video
University of Houston-Clear Lake

Complex Variables

2 rewiews
Explore complex numbers, variables, functions, and the complex plane in this comprehensive mathematical overview.
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5 Lesons
1 hour 18 minutes
On-Demand
Free-Video

Imaginary Numbers Are Real

0 rewiews
Explore the fascinating world of imaginary numbers, from their historical origins to complex functions and Riemann surfaces, in this comprehensive mathematical journey.
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13 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Yale University

The Taylor Series, Complex Numbers, and Simple Harmonic Motion - Lecture 16

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Explore advanced mathematical concepts including Taylor series, complex numbers, and simple harmonic motion in this comprehensive lecture from Yale University's physics course.
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8 Lesons
1 hour 14 minutes
On-Demand
Free-Video
University of Washington

Engineering Mathematics

0 rewiews
Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.
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59 Lesons
1 day 23 hours
On-Demand
Free-Video
University of Oxford

Andrew Wiles Talks to Hannah Fry

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Renowned mathematician Andrew Wiles discusses his work on Elliptic Curves and shares insights on motivation, resilience, and mathematics education in a captivating conversation with Hannah Fry.
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19 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Michael Penn

The Most Beautiful Arrangement of Numbers

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Explore the fascinating world of number theory in this 13-minute video that delves into what is considered "the most beautiful arrangement of numbers." Discover the intriguing patterns and relationships hidden within numerical sequences, and gain insight…
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1 Lesons
13 minutes
On-Demand
Free-Video

Advanced Fortran Programming

0 rewiews
Explore advanced Fortran concepts including array functions, string operations, modules, complex numbers, file processing, and parallel programming with OpenMP. Enhance your programming skills for scientific computing.
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33 Lesons
11 hours
On-Demand
Free-Video

Eigenvalues

0 rewiews
Explore eigenvalues through diverse applications, from Zelda to Pokémon battles. Master matrix operations, differential equations, and advanced concepts like Jordan Canonical Form.
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30 Lesons
7 hours
On-Demand
Free-Video

Problem Solving Techniques

0 rewiews
Explore advanced problem-solving techniques including the Pigeonhole Principle, induction, symmetry, and number theory applications to enhance analytical skills.
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5 Lesons
2 hours 30 minutes
On-Demand
Free-Video

Deeper Dives into Mathematics

0 rewiews
Explore intriguing mathematical concepts through in-depth videos covering symmetry, complex numbers, geometry, number theory, and more. Gain fresh perspectives on classic problems and discover surprising connections.
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27 Lesons
12 hours
On-Demand
Free-Video
blackpenredpen

Laplace Transform

0 rewiews
Comprehensive exploration of Laplace transforms, covering definitions, techniques, and applications for various functions, including exponential orders and piecewise functions.
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11 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Jeremy Klassen

Complex Analysis

0 rewiews
Explore imaginary and complex numbers, their definitions, and algebraic properties in this comprehensive introduction to the foundations of complex analysis.
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3 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Learning Base R

0 rewiews
Master fundamental R programming concepts, from basic calculations to advanced topics like simulation and statistics, through hands-on practice and comprehensive coverage of essential functions and data structures.
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47 Lesons
8 hours
On-Demand
Free-Video
Neha Agrawal Mathematically Inclined

Complex Numbers

0 rewiews
Discover efficient techniques for solving complex number problems, focusing on locus, square roots, and shortcuts for competitive exams like JEE, NDA, and CETs.
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6 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Neha Agrawal Mathematically Inclined

Conic Sections

0 rewiews
Comprehensive guide to conic sections, covering parabolas, ellipses, and hyperbolas with shortcuts and tricks for various competitive exams. Includes complex numbers and locus problems.
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7 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Neha Agrawal Mathematically Inclined

NDA Math - Chapterwise Past Year Questions

0 rewiews
Comprehensive NDA math preparation covering past questions, strategies, and key topics. Includes handwritten notes, tricks, and expert guidance for exam success.
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34 Lesons
1 day 17 hours
On-Demand
Free-Video
Neha Agrawal Mathematically Inclined

Most Important Questions Topicwise - JEE Mains 2021

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Comprehensive JEE Mains mathematics preparation covering key topics through NTA papers, mock tests, and expert guidance for scoring high in the exam.
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13 Lesons
1 day 6 hours
On-Demand
Free-Video
Neha Agrawal Mathematically Inclined

NTA Selected Questions - JEE May 2021 - 80+ in Math Playlist

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Comprehensive JEE Maths revision covering key topics with NTA questions, previous year problems, and expected questions for exam preparation.
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10 Lesons
16 hours
On-Demand
Free-Video
The Bright Side of Mathematics

Linear Algebra

0 rewiews
Comprehensive exploration of advanced linear algebra concepts, including matrix operations, complex numbers, decompositions, and Jordan Normal Form, with practical examples and calculations.
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12 Lesons
2 hours 30 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Start Learning Mathematics

0 rewiews
Comprehensive introduction to mathematical foundations, covering logic, set theory, number systems, real numbers, and complex numbers with a focus on rigorous definitions and proofs.
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30 Lesons
4 hours 30 minutes
On-Demand
Free-Video
zainematics

Marathons

0 rewiews
Intensive A-Level Mathematics P3 practice sessions covering integration, complex numbers, vectors, polynomials, and more. Focused on exam preparation and problem-solving skills.
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23 Lesons
1 day 10 hours
On-Demand
Free-Video

Linear Algebra

0 rewiews
Comprehensive exploration of linear algebra concepts, from basic matrix operations to complex numbers, with practical examples and geometric applications.
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92 Lesons
14 hours
On-Demand
Free-Video

Chemistry 361B

0 rewiews
Comprehensive exploration of quantum mechanics, covering complex numbers, differential equations, atomic models, Schrödinger equation, and molecular structures. Ideal for advanced chemistry students.
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86 Lesons
14 hours
On-Demand
Free-Video

Accelerated Precalculus

0 rewiews
Accelerated precalculus covering advanced topics like trigonometry, matrices, vectors, and conic sections. Ideal for students seeking a comprehensive and fast-paced mathematical foundation.
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58 Lesons
14 hours
On-Demand
Free-Video

Trig & PreCalculus Vol 1

0 rewiews
Comprehensive introduction to complex numbers, exponential and logarithmic functions, angles, trigonometric concepts, and graphing, preparing students for advanced mathematical studies.
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9 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Algebra 2 Course - Unit 8

0 rewiews
Master advanced algebraic concepts: radicals, complex numbers, and imaginary numbers. Learn to solve equations, simplify expressions, and perform operations in the complex plane.
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19 Lesons
4 hours 30 minutes
On-Demand
Free-Video

Algebra 2 Course - Unit 9

0 rewiews
Explore quadratic equations through visualization, perfect squares, completing the square, and the quadratic formula. Learn about discriminants and complex roots for a comprehensive understanding.
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16 Lesons
3 hours 30 minutes
On-Demand
Free-Video

AC Circuit Analysis - Vol 1

0 rewiews
Comprehensive introduction to AC circuit analysis, covering sinusoidal sources, RMS values, complex numbers, phasors, impedance, and Kirchhoff's laws. Includes practical problem-solving techniques for various AC circuits.
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21 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Basic Signal Concepts

0 rewiews
Explore complex numbers, signal concepts, and linear systems through visualizations, examples, and key topics like time scaling, power, decibels, and the delta function.
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12 Lesons
1 hour 30 minutes
On-Demand
Free-Video
3Blue1Brown

Olympiad Level Counting - How Many Subsets of {1,…,2000} Have a Sum Divisible by 5?

0 rewiews
Explore advanced counting techniques using generating functions and complex numbers to solve a challenging subset sum problem, with applications to Olympiad-level mathematics.
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7 Lesons
35 minutes
On-Demand
Free-Video
3Blue1Brown

Intuition for i to the Power i - Lockdown Live Math

0 rewiews
Explore the intuition behind i^i through visualizations, explanations, and interactive Q&A. Dive deep into complex exponents, exponential functions, and their geometric interpretations.
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24 Lesons
1 hour 14 minutes
On-Demand
Free-Video
3Blue1Brown

The Power Tower Puzzle

0 rewiews
Explore the fascinating world of power towers and tetration through puzzles, Python programs, and visual explanations. Dive deep into convergence, complex numbers, and related mathematical concepts.
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25 Lesons
54 minutes
On-Demand
Free-Video
3Blue1Brown

Complex Number Fundamentals - Lockdown Live Math

0 rewiews
Explore the geometry of complex numbers through interactive demonstrations, Python examples, and practical applications in image rotation and angle addition, with engaging visuals and explanations.
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43 Lesons
1 hour 29 minutes
On-Demand
Free-Video
3Blue1Brown

The Simpler Quadratic Formula - Lockdown Live Math

0 rewiews
Explore a simplified approach to the quadratic formula, covering mental math tricks, function properties, and practical applications, with engaging visuals and practice problems.
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9 Lesons
52 minutes
On-Demand
Free-Video
3Blue1Brown

Pi Hiding in Prime Regularities

0 rewiews
Explore the fascinating connection between pi, primes, and complex numbers through animated explanations, uncovering hidden patterns and mathematical relationships in number theory.
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8 Lesons
31 minutes
On-Demand
Free-Video
Brian McLogan

Get Ready for Pre-Calculus in One Day

0 rewiews
Comprehensive review of essential pre-calculus topics, covering linear equations, functions, radicals, complex numbers, quadratics, exponentials, logarithms, rational functions, polynomials, triangles, and systems in under 3 hours.
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15 Lesons
2 hours 39 minutes
On-Demand
Free-Video
Professor Dave Explains

Algebra 1 and 2

0 rewiews
Comprehensive exploration of algebraic concepts, from basic equations to advanced topics like conic sections and logarithms, with clear explanations and practical applications.
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48 Lesons
6 hours
On-Demand
Free-Video

Complex Number - IIT JEE Mathematics

0 rewiews
Comprehensive exploration of complex numbers for IIT JEE Mathematics, covering real and imaginary parts, magnitude, conjugates, arguments, and nth roots of unity through detailed lectures and problem-solving.
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20 Lesons
11 hours
On-Demand
Free-Video

NDA Exam Preparation Videos - Maths

0 rewiews
Comprehensive NDA math preparation covering key topics with expert instruction, visualizations, and practice materials for exam success.
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22 Lesons
1 day 8 hours
On-Demand
Free-Video

NDA, Air Force & Navy Master Classes Maths by Vikas Tiwari

0 rewiews
Comprehensive mathematics preparation for NDA, Air Force Group X, and Navy exams, covering key topics like trigonometry, probability, calculus, and more with expert instructor Vikas Tiwari.
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96 Lesons
3 days 12 hours
On-Demand
Free-Video
The Julia Programming Language

Understanding the Discrete Fourier Transform - Week 14

0 rewiews
Explore Discrete Fourier Transform using Julia, from basic concepts to implementation. Compare DFT with Fast Fourier Transform, analyze sounds, and understand computational complexity.
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32 Lesons
35 minutes
On-Demand
Free-Video
GreeneMath.com

Review of Complex Numbers

0 rewiews
Comprehensive overview of complex numbers, covering imaginary unit i, operations, simplification, graphing, and absolute value. Ideal for students seeking a thorough understanding of complex number concepts.
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16 Lesons
25 minutes
On-Demand
Free-Video
3Blue1Brown

Winding Numbers and Domain Coloring

0 rewiews
Explore winding numbers and domain coloring to solve 2D equations numerically. Learn about graphing techniques, color mapping, and applications in complex analysis.
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13 Lesons
25 minutes
On-Demand
Free-Video
3Blue1Brown

Euler's Formula with Introductory Group Theory

0 rewiews
Intuitive exploration of Euler's formula using group theory concepts, providing a fresh perspective on the relationship between exponentials, complex numbers, and rotations.
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5 Lesons
24 minutes
On-Demand
Free-Video

Class 11 Maths One-Shot Videos

0 rewiews
Comprehensive video series covering all Class 11 Maths topics, including sets, functions, trigonometry, and calculus. Offers clear explanations and problem-solving techniques for CBSE students.
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23 Lesons
1 day 2 hours
On-Demand
Free-Video
The Bright Side of Mathematics

Linear Algebra

0 rewiews
Umfassende Einführung in die lineare Algebra mit Schwerpunkt auf Matrizen, Determinanten, Eigenwerte und komplexe Zahlen. Praktische Anwendungen und Übungen vertiefen das Verständnis.
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40 Lesons
20 hours
On-Demand
Free-Video

NDA Maths Full Course

0 rewiews
Comprehensive mathematics preparation covering complex numbers, equations, logarithms, series, probability, trigonometry, geometry, and more for NDA exam aspirants.
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66 Lesons
2 days 10 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Aplicações de Complexos em Combinatória - Aula 03

0 rewiews
Aprofunde-se em aplicações avançadas de complexos em combinatória, explorando problemas desafiadores e técnicas de resolução para aprimorar suas habilidades matemáticas olímpicas.
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10 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

O Plano Complexo e Propriedades Elementares - PROLÍMPICO 2023 - Aula 01

0 rewiews
Explore o plano complexo e suas propriedades elementares nesta aula do PROLÍMPICO, aprimorando suas habilidades para olimpíadas de matemática e ensino em sala de aula.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Equações de Grau Cinco

0 rewiews
Explore a complexidade das equações de grau cinco e suas soluções, aprofundando-se em conceitos matemáticos avançados e suas implicações teóricas.
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1 Lesons
40 minutes
On-Demand
Free-Video
ICTP-SAIFR

Os Números Complexos Existem? - Aula 2

0 rewiews
Explore a existência e aplicações dos números complexos em uma aula aprofundada, desvendando seus mistérios e relevância na matemática avançada.
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1 Lesons
2 hours 50 minutes
On-Demand
Free-Video
ICTP-SAIFR

Os Números Complexos Existem? - Aula 1

0 rewiews
Explore a existência e aplicações dos números complexos em uma aula abrangente ministrada pelo Prof. Alberto Saa da Unicamp.
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1 Lesons
2 hours 46 minutes
On-Demand
Free-Video
HyperComplex Seminar

Euler and Schrödinger Equations - Turning Points in Complex Mathematics and Physics

0 rewiews
Explore the historical impact of Euler and Schrödinger on complex mathematics and quantum mechanics, from algebraic beginnings to modern applications in quantum chemistry.
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1 Lesons
43 minutes
On-Demand
Free-Video
Valerio Velardo - The Sound of AI

Defining the Fourier Transform with Complex Numbers

0 rewiews
Explore complex numbers in Fourier transform, including coefficients, visual interpretation, and inverse transform. Gain insights into elegant mathematical representations for audio signal processing.
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14 Lesons
45 minutes
On-Demand
Free-Video
Artem Kirsanov

Wavelets- A Mathematical Microscope

0 rewiews
Explore wavelet transform for signal processing, uncovering hidden structures in data. Learn to build a wavelet toolkit, understanding its applications from hydrodynamics to neuroscience.
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16 Lesons
34 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Sinusoid and Phasor - Lecture 2

0 rewiews
Explore sinusoids and phasors, fundamental concepts in electrical engineering and signal processing.
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1 Lesons
22 minutes
On-Demand
Free-Video
Freya Holmér

Math for Game Devs - Abstract Algebra, Procedural Animation & Splines

0 rewiews
Explore advanced math concepts for game development, including abstract algebra, procedural animation, and splines. Learn about complex numbers, quaternions, and geometric algebra for enhanced game design and animation techniques.
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24 Lesons
3 hours 47 minutes
On-Demand
Free-Video
Valerio Velardo - The Sound of AI

Complex Numbers for Audio Signal Processing

0 rewiews
Explore complex numbers visually for audio signal processing, covering Cartesian and polar representations, Euler's formula, and their application in Fourier transforms.
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12 Lesons
26 minutes
On-Demand
Free-Video
Mathologer

Years of Not Teaching the Cubic Formula - What Is It They Think You Can't Handle?

0 rewiews
Uncover the mystery behind the cubic formula's absence from education, exploring its history, derivation methods, and surprising mathematical connections.
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8 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

Relativistic Dot Products and Complex Numbers - Wild Linear Algebra B

0 rewiews
Explore relativistic dot products, complex numbers, and chromogeometry in planar geometry. Discover the symmetry between Euclidean and relativistic geometries using 2x2 matrices, unit circles, and isometries.
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6 Lesons
38 minutes
On-Demand
Free-Video
Insights into Mathematics

Stevin Numbers, Infinitesimals and Complex Numbers - Famous Math Problems

0 rewiews
Explore the evolution of decimal numbers, infinitesimals, and complex numbers in mathematics. Delve into Stevin's contributions, calculus challenges, and modern perspectives on real and complex numbers.
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8 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

How to Set Up Fractions IV - The Relation Between Fractions and Other Number Systems

0 rewiews
Explore number systems, focusing on rational numbers and their relationships. Challenges traditional views on real numbers, emphasizing the distinction between counting and measuring in mathematics.
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6 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

The True Algebra of Complex Numbers - Via Dihedrons

0 rewiews
Exploring complex numbers through Dihedron algebra, offering a fresh perspective on their structure and geometry. Highlights include quadratic inverse algebras and comparisons to Quaternions.
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7 Lesons
28 minutes
On-Demand
Free-Video
Insights into Mathematics

The Remarkable Dihedron Algebra - Famous Math Problems

0 rewiews
Explore the Dihedron algebra, a key to constructing complex numbers. Learn its basis, properties, and connections to group theory in this comprehensive mathematical exploration.
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7 Lesons
32 minutes
On-Demand
Free-Video
Insights into Mathematics

How to Construct the True Complex Numbers I - Famous Math Problems

0 rewiews
Exploring the construction of true complex numbers using field theory and linear algebra, challenging traditional approaches and introducing novel concepts for a modern understanding.
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8 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

The Projective Line, Circles and a Proof of the CQQ Theorem - Rational Geometry Math Foundations

0 rewiews
Explore projective parametrization of the unit circle, derive formulas for areas of triangles and quadrilaterals, and delve into circle geometry with applications to other conics.
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9 Lesons
45 minutes
On-Demand
Free-Video
Insights into Mathematics

The Rotation Problem and Hamilton's Discovery of Quaternions - Famous Math Problems

0 rewiews
Explore complex numbers and their connection to plane rotations, laying the groundwork for understanding quaternions and 3D rotations. Emphasizes a logical, algebraic approach without relying on transcendental functions.
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11 Lesons
58 minutes
On-Demand
Free-Video
Insights into Mathematics

The Rotation Problem and Hamilton's Discovery of Quaternions - Famous Math Problems

0 rewiews
Explore quaternions and their connection to 3D rotations using 2x2 complex matrices. Learn key formulas and visual models for this algebraic structure without relying on transcendental concepts.
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9 Lesons
56 minutes
On-Demand
Free-Video
Insights into Mathematics

Complex Numbers and Algebra - Math History - NJ Wildberger

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Explore complex numbers' history, applications in cubic equations, and geometric representations. Delve into the Fundamental Theorem of Algebra and its proofs by d'Alembert and Gauss.
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11 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Steve Brunton

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

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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.
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5 Lesons
29 minutes
On-Demand
Free-Video
Steve Brunton

Complex Numbers and Functions

0 rewiews
Explore complex numbers, Euler's formula, and functions of Z in engineering mathematics, covering geometric interpretations and convergent Taylor series.
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8 Lesons
49 minutes
On-Demand
Free-Video
Michael Penn

Problem Solving - Complex Number Basics

0 rewiews
Explore essential complex number techniques for problem-solving contests, covering arithmetic operations, Euler's formula, and nth roots of unity with practical examples.
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8 Lesons
34 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Maxim Kontsevich Pt. III

0 rewiews
Explore advanced algebraic concepts with Maxim Kontsevich, focusing on Getzler-Gauss-Manin connections for non-commutative algebras and their applications in quantum mathematics.
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13 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Number `E' by Tanvi Jain

0 rewiews
Explore the mathematical constant 'e', its history, applications in compound interest, logarithms, calculus, and complex numbers. Discover its irrationality and significance in various mathematical contexts.
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29 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Fields Institute

Numerical Computation of Monodromy Action Over R

0 rewiews
Explore numerical computation of monodromy action over real numbers, focusing on a new piece-wise approach for analyzing real solution sets, with applications in kinematics and mechanism calibration.
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8 Lesons
37 minutes
On-Demand
Free-Video
Professor Leonard

Intermediate Algebra - An Introduction to Operations with Complex Numbers

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Explore operations with complex numbers, including addition, subtraction, multiplication, and division, enhancing your understanding of advanced algebraic concepts.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Professor Leonard

Finding All Solutions of Polynomials

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Learn to fully factor polynomials over complex numbers and find all solutions, including complex ones, in this comprehensive algebra lesson.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
NIOS

Advanced Engineering Mathematics

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Comprehensive exploration of advanced mathematical concepts, including complex analysis, transforms, probability, linear algebra, and more, with applications to engineering problems.
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36 Lesons
1 day 10 hours
On-Demand
Free-Video
zainematics

A Level P3 Complex Number

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Master complex numbers and polynomials for A Level P3 with comprehensive practice sessions covering key concepts and problem-solving techniques.
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3 Lesons
8 hours
On-Demand
Free-Video
Mathemaniac

What Are Complex Numbers - Essence of Complex Analysis

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Comprehensive guide to complex numbers, covering representations, operations, Euler's formula, and de Moivre's theorem. Ideal for beginners and as a refresher for advanced learners.
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18 Lesons
32 minutes
On-Demand
Free-Video
Michael Penn

Why Are There No 3 Dimensional "Complex Numbers"?

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Explores the mathematical reasons behind the absence of 3D complex numbers, delving into algebra, quaternions, and the limitations of number systems beyond 2D complex planes.
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1 Lesons
37 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Geometric Langlands over F_q

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Explore strategies to deduce geometric Langlands conjecture for ℓ-adic sheaves, connecting F_q and complex number theories in advanced mathematics.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Steve Brunton

Complex Analysis - Roots of Unity and Rational Powers of Z

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Explore complex logarithms and exponentials to compute fractional powers of complex numbers, including nth roots of unity and special cases like the square root of i.
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1 Lesons
35 minutes
On-Demand
Free-Video
Freya Holmér

Why Can't You Multiply Vectors? - A Mathematical Journey into Vector Multiplication

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Een wiskundige reis door vectorvermenigvuldiging, complexe getallen en geometrische algebra, met toepassingen in game-ontwikkeling en nieuwe perspectieven op wiskundige constructies.
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32 Lesons
51 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Complex Multiplication: Past, Present, Future - Lecture 1

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Explore the historical and contemporary aspects of complex multiplication in mathematics, with insights into its future applications and developments.
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1 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

Calculus on the Unit Circle - Arithmetic and Geometry Math Foundations 78

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Explore algebraic calculus on unit circles, covering subderivatives, Taylor expansions, tangents, and 3D visualizations. Gain insights into foundational mathematics with a unique approach to this fundamental topic.
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11 Lesons
35 minutes
On-Demand
Free-Video
Insights into Mathematics

Algebraic Structure on the Euclidean Projective Line - Rational Geometry Math Foundations 137

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Explores algebraic structure on the Euclidean projective line, covering projective formulas, isometries, rotations, and their compositions. Connects to chaos theory and complex number multiplication.
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9 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

The Projective Line, Circles and the CQQ Theorem - Part 2

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Explores advanced geometry concepts including general circles, complex numbers, and the Cyclic Quadrilateral Quadrea theorem, emphasizing projective parametrization and transformations in the complex plane.
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9 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

The Chromatic Algebra of 2x2 Matrices - Part 2

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Explores chromatic algebra of 2x2 matrices, focusing on subalgebras, complexions, dot products, and the four-dimensional Dihedrons algebra. Compares to quaternions and highlights unique properties.
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1 Lesons
38 minutes
On-Demand
Free-Video
Insights into Mathematics

Relativistic Dot Products and Complex Numbers in Linear Algebra - Part 2

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Exploring triality of dot products and associated complex numbers in chromogeometry, organized within 2x2 matrices. Delves into interactions between three geometries.
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1 Lesons
25 minutes
On-Demand
Free-Video
Insights into Mathematics

Complex Numbers and Curves in 19th Century Mathematics

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Explore complex numbers, algebraic curves, and their intersection with projective geometry and topology. Discover how these concepts revolutionized 19th-century mathematics and laid the foundation for modern algebraic geometry.
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1 Lesons
58 minutes
On-Demand
Free-Video
Insights into Mathematics

Rethinking Roots of Unity in Complex Algebra - Math Foundations 218

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Explores complex roots of unity, challenging traditional views and highlighting logical difficulties in their definition and existence, emphasizing rational parametrization and algebraic approaches over infinite processes.
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10 Lesons
29 minutes
On-Demand
Free-Video
Insights into Mathematics

Fundamental Theorem of Algebra Reexamined - Math Foundations 217

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Reexamines the Fundamental Theorem of Algebra, proposing new formulations based on rational complex arithmetic and quadrance, avoiding assumptions about continuity and real/complex numbers.
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1 Lesons
28 minutes
On-Demand
Free-Video
Insights into Mathematics

The Geometry of Euclidean Reflections and Rotations - Grounded Case

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Explore Euclidean reflections and rotations using rational geometry. Learn about complex number multiplication, group structures, and a visual notation for describing transformations.
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7 Lesons
24 minutes
On-Demand
Free-Video
Insights into Mathematics

Central Polynumbers and SL(2)/SU(2) Characters - Math Foundations 235

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Explore a novel algebraic approach to SL(2) and SU(2) representation theory, emphasizing central polynumbers and mset arithmetic, with implications for Lie theory and modern physics.
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6 Lesons
35 minutes
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Free-Video
Michael Penn

Solving Quintic Equations - Mathematical Misconceptions

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Discover the method to solve any quintic equation in this engaging tutorial. Learn advanced algebraic techniques and expand your mathematical problem-solving skills.
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1 Lesons
23 minutes
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Free-Video
Insights into Mathematics

Complex Numbers in Fourier Series and Quantum Mechanics

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Explore complex numbers in harmonic analysis, focusing on the unit circle. Learn about Laplacian operators, harmonic polynomials, and integration theory, with applications to quantum mechanics and physics.
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1 Lesons
33 minutes
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Free-Video
Fields Institute

Number Systems - Foundations and Applications in Mathematics

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Explore the foundations of mathematics through an in-depth examination of number systems, presented by Kevin Hare from the University of Waterloo.
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1 Lesons
49 minutes
On-Demand
Free-Video
Michael Penn

A Great Proof of the Euler-Mascheroni Constant Identity

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Explore a captivating proof of a fascinating mathematical identity, delving into elegant reasoning and surprising connections that illuminate the beauty of number theory.
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1 Lesons
19 minutes
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Free-Video