Канал: Math Physics Engineering

Advanced Sequence Properties: Infinite Limits & nth Roots Explored

Advanced Sequence Properties: Infinite Limits & nth Roots Explored

Mastering Telescoping & Geometric Series: Rigorous Proofs & Sum Formulas

Mastering Telescoping & Geometric Series: Rigorous Proofs & Sum Formulas

Average of converging sequence always converges to the same limit

Average of converging sequence always converges to the same limit

Proof of the Sandwich Theorem and Visualization

Proof of the Sandwich Theorem and Visualization

The Stunning Ambush: Unforgettable Moves in Blitz Chess

The Stunning Ambush: Unforgettable Moves in Blitz Chess

Speak To Chat GPT and make it respond with Stephen Hawking's Voice Synthesis

Speak To Chat GPT and make it respond with Stephen Hawking's Voice Synthesis

Lego 42009 Ultimate under construction part 3 (final)

Lego 42009 Ultimate under construction part 3 (final)

Lego 42009 Ultimate under construction part 2

Lego 42009 Ultimate under construction part 2

Why the proof of the Heine Borel theorem doesn't work for open intervals?

Why the proof of the Heine Borel theorem doesn't work for open intervals?

Visual Proof of The Heine-Borel Theorem and Compactness

Visual Proof of The Heine-Borel Theorem and Compactness

Visualized Proof of the Bolzano-Weierstrass Theorem using Cantor's lemma

Visualized Proof of the Bolzano-Weierstrass Theorem using Cantor's lemma

Cantor's Lemma Proof and Visualization

Cantor's Lemma Proof and Visualization

Generalization of Cauchy Sequence to Metric Spaces with visualization

Generalization of Cauchy Sequence to Metric Spaces with visualization

A sequence of real numbers converges if and only if it is a Cauchy Sequence

A sequence of real numbers converges if and only if it is a Cauchy Sequence

Cauchy Sequences and Completeness

Cauchy Sequences and Completeness

Application Of The Monotone Convergence Theorem

Application Of The Monotone Convergence Theorem

Euler's number e=lim(1+1/n)^n, Base of Natural Logarithm, most important limit existance proof

Euler's number e=lim(1+1/n)^n, Base of Natural Logarithm, most important limit existance proof

Limit Arithmetic Continued

Limit Arithmetic Continued

Proof: Limit Arithmetics Theorem, With Visualization

Proof: Limit Arithmetics Theorem, With Visualization

Proof: Convergent Sequences are Bounded

Proof: Convergent Sequences are Bounded

Easiest Proof of the Bolzano–Weierstrass Theorem

Easiest Proof of the Bolzano–Weierstrass Theorem

Monotone Convergence Theorem Easiest Proof

Monotone Convergence Theorem Easiest Proof

Proof By Induction: All the horses are of the same color.

Proof By Induction: All the horses are of the same color.

The Binomial Expansion Formula Derivation and Proof

The Binomial Expansion Formula Derivation and Proof

Calculus 1: Definition of Metric Spaces and Discussion of Convergence.

Calculus 1: Definition of Metric Spaces and Discussion of Convergence.

Calculus 1: Generalization of Convergence to Metric Spaces and First Notions from Topology.

Calculus 1: Generalization of Convergence to Metric Spaces and First Notions from Topology.

Calculus 1: Visualization of sequence convergence according to definition

Calculus 1: Visualization of sequence convergence according to definition

Calculus 1: Proof by Definition of Sequence Convergence

Calculus 1: Proof by Definition of Sequence Convergence

Calculus 1: Sequence Limit Visualization with Desmos

Calculus 1: Sequence Limit Visualization with Desmos

The triangle inequality for the standard metric d(x,y)=|x-y| on R with proof and derivation.

The triangle inequality for the standard metric d(x,y)=|x-y| on R with proof and derivation.

Calculus 1: How to visualize a sequence of real numbers with desmos?

Calculus 1: How to visualize a sequence of real numbers with desmos?

Calculus 1: What is a sequence? Rigorous definition and motivation.

Calculus 1: What is a sequence? Rigorous definition and motivation.

Rigorous Advanced Calculus 1: Sequences, Limits, Open Sets

Rigorous Advanced Calculus 1: Sequences, Limits, Open Sets

Sequence Limit Definition Visualized

Sequence Limit Definition Visualized

Calculus 1 : Sequences

Calculus 1 : Sequences

Visual Proof for Sum of Squares Formula #SoME3

Visual Proof for Sum of Squares Formula #SoME3

Modeling The Cycloid in Desmos, The Brachistochrone problem and Spiderman

Modeling The Cycloid in Desmos, The Brachistochrone problem and Spiderman

Geometric Definition of the Parabola and visualization of the Optic Property with Desmos

Geometric Definition of the Parabola and visualization of the Optic Property with Desmos

Projectile Motion Part 1 (Introduction and real life examples)

Projectile Motion Part 1 (Introduction and real life examples)

Projectile Motion part 4 (Geometry)

Projectile Motion part 4 (Geometry)

Projectile Motion Part 3 (Trajectory Equations and Desmos Visualization)

Projectile Motion Part 3 (Trajectory Equations and Desmos Visualization)

Projectile Motion Part 2 (Gravity, Free Fall Acceleration, Inertial and Gravitational Mass)

Projectile Motion Part 2 (Gravity, Free Fall Acceleration, Inertial and Gravitational Mass)

Projectile Motion, in-depth analysis of the geometry, and visualization with desmos.

Projectile Motion, in-depth analysis of the geometry, and visualization with desmos.

Beautiful Integral, exponential pyramid

Beautiful Integral, exponential pyramid

Interesting Integral ((x+a)/(a-x))^(1/2), natural substitution

Interesting Integral ((x+a)/(a-x))^(1/2), natural substitution

Mastering Trigonometric Identities: Your Key to Math Success

Mastering Trigonometric Identities: Your Key to Math Success

The Geometric Definition of the Hyperbolic Functions, and Derivation of their Formulas

The Geometric Definition of the Hyperbolic Functions, and Derivation of their Formulas

How to solve the quartic equation by the Ferrari method?

How to solve the quartic equation by the Ferrari method?

Integral e^(ax)sin(bx) two ways to compute

Integral e^(ax)sin(bx) two ways to compute

Mathematical Art With logarithmic Spirals

Mathematical Art With logarithmic Spirals

Zeno's Mice (Ants) Problem and the Logarithmic Spirals

Zeno's Mice (Ants) Problem and the Logarithmic Spirals

All the ways to compute integral( sin^n(x) dx)

All the ways to compute integral( sin^n(x) dx)

Can you simplify (x-a)*(x-b)*(x-c)*...*(x-z)? A mathemtical riddle and a Joke!

Can you simplify (x-a)(x-b)(x-c)...(x-z)? A mathemtical riddle and a Joke!

CAN YOU SOLVE THE 1000000 LIGHT BULB PUZZLE?

CAN YOU SOLVE THE 1000000 LIGHT BULB PUZZLE?

LEGO Technic Jeep Wrangler 42122, Review.

LEGO Technic Jeep Wrangler 42122, Review.

Ants on the stick Riddle! Beautiful solution with out of the box thinking and intuition from physics

Ants on the stick Riddle! Beautiful solution with out of the box thinking and intuition from physics

Best Linear Algebra exam preparation video. Lecture 4/4 (With Lecture Notes in the Description)

Best Linear Algebra exam preparation video. Lecture 4/4 (With Lecture Notes in the Description)

Can you find all square matrices A,B such that AB-BA=I? How is this related to Quantum Mechanics?

Can you find all square matrices A,B such that AB-BA=I? How is this related to Quantum Mechanics?

Live animated Math Joke about e^x !

Live animated Math Joke about e^x !

Best Linear Algebra exam preparation video. Lecture 3/4 (With Lecture Notes in the Description)

Best Linear Algebra exam preparation video. Lecture 3/4 (With Lecture Notes in the Description)

Can find all solutions to f(x+y)+f(x-y)=2f(x)*f(y) continuous f?

Can find all solutions to f(x+y)+f(x-y)=2f(x)*f(y) continuous f?

Best Linear Algebra exam preparation Lecture Part 2 of 4 (With Lecture Notes in the Description)

Best Linear Algebra exam preparation Lecture Part 2 of 4 (With Lecture Notes in the Description)

Best Linear Algebra Exam Preparation Lecture Part 1 of 4 (With Lecture Notes in the Description)

Best Linear Algebra Exam Preparation Lecture Part 1 of 4 (With Lecture Notes in the Description)

Deriving the equation for the shape of water flowing from the faucet.

Deriving the equation for the shape of water flowing from the faucet.

Generic formula for the integral of the inverse function, int f^(-1)(x)dx

Generic formula for the integral of the inverse function, int f^(-1)(x)dx

A Tale of Two Proofs. Infinately Many Primes, Proofs due to Euclides and Euler.

A Tale of Two Proofs. Infinately Many Primes, Proofs due to Euclides and Euler.

The Beautiful Mathematics and Physics of Clocks. How Clocks Work?

The Beautiful Mathematics and Physics of Clocks. How Clocks Work?

Intresting Limit

Intresting Limit

How To Solve The Quartic Equation?

How To Solve The Quartic Equation?

Deriving The Formula For The Cubic Equation

Deriving The Formula For The Cubic Equation

Deriving The Formula For The Quadratic Equation

Deriving The Formula For The Quadratic Equation

Recursive Formula Derivation For The Integral 1/(x^2+a^2)^n

Recursive Formula Derivation For The Integral 1/(x^2+a^2)^n

Interesting Integral 1/(x^2+a^2)^(3/2)

Interesting Integral 1/(x^2+a^2)^(3/2)

MONSTER INTEGRAL EASILY TAMED

MONSTER INTEGRAL EASILY TAMED

Lego 42009 Ultimate under construction part 1

Lego 42009 Ultimate under construction part 1

Very Hard Integral (1+sin(x))/(1+cos(x))e^x

Very Hard Integral (1+sin(x))/(1+cos(x))e^x

The Beautiful Mathematics of the Coffee Cup Caustics

The Beautiful Mathematics of the Coffee Cup Caustics

Epic Indefinate Integral! Super Hard! int x^2/(cos(x)+xsin(x))^2

Epic Indefinate Integral! Super Hard! int x^2/(cos(x)+xsin(x))^2

Beautiful Geometry Problem Easily Solved

Beautiful Geometry Problem Easily Solved

Proof of Jordan's Lemma, with Applications and Examples

Proof of Jordan's Lemma, with Applications and Examples