In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus. The names are mostly traditional, so that for example the fundamental theorem of arithmetic is basic to what would now be called number theory. Some of these are classification theorems of objects which are mainly dealt with in the field. For instance, the fundamental theorem of curves discribe classification of regular curves in space up to translation, rotation. Likewise, the mathematical literature sometimes refers to the fundamental lemma of a field. The term lemma is conventionally used to denote a proven proposition which is used as a stepping stone to a larger result, rather than as a useful statement in-and-of itself. (Wikipedia).
Number Theory - Fundamental Theorem of Arithmetic
Fundamental Theorem of Arithmetic and Proof. Building Block of further mathematics. Very important theorem in number theory and mathematics.
From playlist Proofs
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
First Fundamental Theorem of Calculus Calculus 1 AB
I introduce and define the First Fundamental Theorem of Calculus. I finish by working through 4 examples involving Polynomials, Quotients, Radicals, Absolute Value Function, and Trigonometric Functions. Check out http://www.ProfRobBob.com, there you will find my lessons organized by clas
From playlist Calculus
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217
Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin
From playlist Math Foundations
Fundamental Theorem of Algebra
The Fundamental Theorem of Algebra and some additional notes about how roots of polynomials and complex numbers are related to each other.
From playlist Modern Algebra
Extended Fundamental Theorem of Calculus
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples
From playlist Calculus
Fundamental Theorem of Calculus (1 of 5: Considering COVID-19)
More resources available at www.misterwootube.com
From playlist Integral Calculus
The Fundamental Theorem of Calculus and How to Use it
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Fundamental Theorem of Calculus and How to Use it
From playlist Calculus 1
A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)
In the final video of my vector calculus playlist (congrats to everyone for making it to the end!!!) I want to do a bit of an overview of the major theorems we have seen in this course - Stokes' Theorem, Divergence Theorem, Green's Theorem - all are part of a unified framework. Loosely, in
Fundamental Theorem of Calculus II
This video looks at the second fundamental theorem of calculus, where we take the definite integral of a function whose anti-derivative we can compute. This gives a short and sweat way to compute any definite integral provided we can come up with an anti-derivative. *********************
From playlist Calculus I (Limits, Derivative, Integrals) **Full Course**
Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example
Derivatives are geometrically tangents to curves while definite integrals area areas under curves. How are these related? The Fundamental Theorem of Calculus parts I and II show how we can compare these two fundamental concepts in Calculus. The first derivative, the subject of this video,
From playlist Calculus I (Limits, Derivative, Integrals) **Full Course**
Intro to the Fundamental Group // Algebraic Topology with @TomRocksMaths
In this video I teach the amazing @TomRocksMaths a little bit of algebraic topology, specifically the fundamental group. Tom also taught me some really cool fluid dynamics and you can find our collab over at his channel here: ►►► https://www.youtube.com/watch?v=bpeCfwY4qa0&ab_channel=TomR
From playlist Collaborations
Complex polynomials and their factors | Linear Algebra MATH1141 | N J Wildberger
We look at the arithmetic of complex polynomials, prove both the Factor theorem and the Remainder theorem, and discuss the contentious "Fundamental theorem of Algebra" from a computational perspective. ************************ Screenshot PDFs for my videos are available at the website htt
From playlist Higher Linear Algebra
The Primes are Infinite | MathBits
How many prime numbers are there? Quite a few. #MathBits MathBits playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXC3ow93HXIKx_yHyk5GXCE "Court Gavel - Judge's Gavel - Courtroom" by weiss_paarz_photos is licensed under CC BY-SA 2.0 ★DONATE★ ◆ Support Wrath of Math on Patre
From playlist MathBits
My Favorite Theorem: The FUNdamental Theorem of Algebra // Math Minute [#37] [ALGEBRA]
A commenter on a video-sharing platform that will go unnamed asked me about my favorite theorem. Herein, I oblige. Subscribe: http://bit.ly/SubTimRicchuiti | Enable ALL push notifications 🔔 I don't know if it's because I'm an 8th grade math teacher, or if it's just because I love polynom
From playlist Math Minutes
Calculus: The Fundamental Theorem of Calculus
This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.
From playlist Calculus
10% of Algebra Students Get This
TabletClass Math: https://tcmathacademy.com/ A video explaining the fundamental theorem of algebra. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes:
From playlist GED Prep Videos