History of calculus | Mathematical analysis

Timeline of calculus and mathematical analysis

A timeline of calculus and mathematical analysis. (Wikipedia).

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Sequences -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Math 139 Fourier Analysis Lecture 10.1 L^2 convergence of Fourier Series

(Unfortunately I taped only part of this lecture.) Fourier series converges to the function in the L^2 sense.

From playlist Course 8: Fourier Analysis

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MATH1131 Calculus Chapter 6 Q1

Showing that two functions are inverses by calculating their composition.

From playlist Mathematics 1A (Calculus)

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Math 031 030117 Introduction to Sequences and Limits

Cautionary example: 3/2 = 1. Definition of a sequence; standard notation. Examples. Rigorous definition of convergence (i.e., the existence of a finite limit). Clarification via examples.

From playlist Course 3: Calculus II (Spring 2017)

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Algebra of series -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Calculus 1.1a - Early History and New Problems

Some comments on the early history of mathematics and the types of problems that motivated the development of calculus. Students may enroll in the complete course at http://derekowens.com The Student Workbook that accompanies these videos can be purchased from Lulu.com at http://www.lulu

From playlist Calculus Chapter 1

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Introduction to Sequences Part I: Definition, Examples, and Convergence

We switch gears to our second major section in Calculus II: Sequences and Series. The notion of a sequence is defined, examples such as the Fibonnaci sequence given, and the notion of convergence established. A key tool will be the interplay between the idea of the limit of a function as x

From playlist Older Calculus II (New Playlist For Spring 2019)

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Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions

Calculus 1 Lecture 3.1: Discussion of Increasing and Decreasing Intervals. Discussion of Concavity of functions.

From playlist Calculus 1 (Full Length Videos)

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Math for Game Developers: Fundamentals of Calculus

This video is a gentle introduction to the fundamentals of Calculus for Physics and Game Programmers. We'll start by looking at the basic concepts of physics simulation, deltatime, and proceed to discuss continuous functions and discrete functions. You'll learn about differentiation and

From playlist Summer of Math Exposition Youtube Videos

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Calculus | Math History | N J Wildberger

Calculus has its origins in the work of the ancient Greeks, particularly of Eudoxus and Archimedes, who were interested in volume problems, and to a lesser extent in tangents. In the 17th century the subject was widely expanded and developed in an algebraic way using also the coordinate ge

From playlist MathHistory: A course in the History of Mathematics

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4.1 - A Brief History of AI

Information Service Engineering 2021 Prof. Dr. Harald Sack Karlsruhe Institute of Technology Summer semester 2021 Lecture 10: Basic Machine Learning - 1 4.1 A Brief History of AI - The success story of machine learning - Donald Hebb and the neuron - McCulloch & Pitts and the artificial n

From playlist ISE2021 - Lecture 10 - 23.06.2021

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History of Calculus - Animated

Everything you need to know about calculus... in 7 minutes. Remember to subscribe and hit that bell. Follow me on Quora: https://www.quora.com/profile/Ajay-Halthor REFERENCES [1] The birth of Calculus (1986): https://www.youtube.com/watch?v=ObPg3ki9GOI [2] Brief History of Calculus: ht

From playlist Comedy & Concept

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Pranab Das - Broadening the reach of mathematical approaches to the study of intelligences

Recorded 18 February 2022. Pranab Das of Elon University, Physics, presents "Broadening the reach of mathematical approaches to the study of intelligences" at IPAM's Mathematics of Collective Intelligence Workshop. Abstract: Over the past five years a $40 million initiative entitled “Diver

From playlist Workshop: Mathematics of Collective Intelligence - Feb. 15 - 19, 2022.

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!!Con 2020 - Programming from an alternate timeline! by Matthew Dockrey

Programming from an alternate timeline! by Matthew Dockrey We take ANDs and ORs for granted, but for millennia there was only the IMPLIES of classical Aristotelian syllogisms. It wasn’t until the 19th century that mathematical logic started to emerge, and it was a long time before it look

From playlist !!Con 2020

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Geometry of the moduli space of curves – Rahul Pandharipande – ICM2018

Plenary Lecture 3 Geometry of the moduli space of curves Rahul Pandharipande Abstract: The moduli space of curves, first appearing in the work of Riemann in the 19th century, plays an important role in geometry. After an introduction to the moduli space, I will discuss recent directions

From playlist Plenary Lectures

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The Case for Short AGI Timelines - Daniel Murfet

How close are we to machine intelligence that rivals the generality and depth of human intelligence? In this talk Dan Murfet discusses reasons for belief in short timelines, on the order of a decade, for the arrival of such AGI systems. The overall argument hinges on our lack of certainty

From playlist metauni festival 2023

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How people came up with the natural logarithm and the exponential function #SoME1

I discuss the history of the introduction of the natural logarithm and exponential functions, answering the question of how the logarithm was first discovered and how it's properties were derived, and also why it appeared when it did. I consider several other areas of inquiry that could ha

From playlist Math

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4 Calculating some interesting limits

Now that we have got the ball rolling, let's do some examples.

From playlist Life Science Math: Limits in calculus

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Open Source Computer Science Degree

In this video, I will be taking you through the various resources that make up the open-source computer science degree. The OSSU curriculum is a complete education in computer science using online materials. It's not merely for career training or professional development. It's for those wh

From playlist Ethical Hacking & Penetration Testing - Complete Course

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