Series expansion

3_1 Introduction to Series

Introductory talk on series. Defining a series as a sequence of partial sums.

From playlist Advanced Calculus / Multivariable Calculus

Continued Fraction Expansions, Pt. III

A fascinating generalization linking sequences, continued fractions, and polynomials. Email: allLogarithmsWereCreatedEqual@gmail.com Subscribe! https://www.youtube.com/AllLogarithmsEqual

From playlist Number Theory

Math 031 041717 Getting power series expansions; Introduction to Taylor Series

Recall "properties of power series". Example applications: using the properties to obtain power series. Introduction to Taylor series. Example of Taylor series that does not recover the original function. Example of Taylor series for exponential function; for sine function.

From playlist Course 3: Calculus II (Spring 2017)

What is a series?

Definition and examples of series. In this video, I define the notion of a series using partial sums, and give a couple of examples of series. I also show the fact used in many times in calculus that a series converges if and only if it is bounded, which is used many times in calculus. Enj

From playlist Series

(New Version Available) Arithmetic Series

New Version: https://youtu.be/GZH68SubgRE This video introduces arithmetic series. http://mathispower4u.yolasite.com/

From playlist Sequences and Series

C69 Introduction to power series

A quick look at power series. They can be used as solutions to linear differential equations with variable coefficients.

From playlist Differential Equations

The Natural Logarithm and its Series Expansion - 2 Ways [ ln(x+1) at 0 ]

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy We are once again back with taylor series expansions! =) Today we are going to deal with ln(1+x) at 0. We a

From playlist Taylor Series

Finding a New Power Series by Manipulating a Known Power Series

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a New Power Series by Manipulating a Known Power Series. In this video, we are given the power series for e^x and use that to find a new power series.

From playlist Sequence and Series Video Tutorial

The Exponential Function and its Series Expansion

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy Let us continue with my series (pun intented) on Taylor/Maclaurin Series Expansions! Today we are going to derive a pretty famous boi: exp(x) = e^x! Enjoy :) Twit

From playlist Taylor Series

The Taylor Series

In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approximate a function with derivatives of the function at an expansion point. We show how to derive the Taylor Series coefficients in sin

From playlist Optimization

Lagrange Inversion is wild

Train your logical thinking skills and learn how to deal with complex numbers by trying out Brilliant! =D https://brilliant.org/FlammableMaths Subscribe to @FlammysWood to see your dad working his wood :^D https://www.youtube.com/watch?v=FQAk0TtI9LE Handcrafted products, puzzles and more

From playlist Taylor Series

Introduction to Resurgence, Trans-series and Non-perturbative Physics III by Gerald Dunne

Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to

From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography

Gérald DUNNE - Resurgent Trans-series Analysis of Hopf Algebraic Renormalization

In the Kreimer-Connes Hopf algebraic approach to renormalization, for certain QFTs the Dyson-Schwinger equations can be reduced to nonlinear differential equations. I describe methods based on Ecalle's theory of resurgent trans-series to extract non-perturbative information from these Dyso

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

2/21, Patrick Speissegger

Patrick Speissegger, McMaster University A new Hardy field of relevance to Hilbert's 16th problem In our paper, we construct a Hardy field that embeds, via a map representing asymptotic expansion, into the field of transseries as described by Aschenbrenner, van den Dries and van der Hoev

From playlist Spring 2020 Kolchin Seminar in Differential Algebra

Michal Eckstein: Asymptotic and exact expansion of spectral action

The asymptotic expansion of the spectral action at large energies is powerful tool for building models of fundamental interactions. For a suitable almost-commutative geometry it encodes the full lagrangian of the Standard Model minimally coupled to gravity. However, beyond the almost-commu

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

Asymptotic Expansions

To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technologyconference/ Speaker: Adam Strzebonski & Devendra Kapadia Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment

From playlist Wolfram Technology Conference 2017

Futher Pure 2 FP2 Maclaurin Series 1 Introduction and basics Mathematics A Level Edexcel

www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades

From playlist Futher Pure 2 FP2 Maclaurin and Taylor Series

Live CEOing Ep 674: Language Design in Wolfram Language [HistoricalCountries]

In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram

From playlist Behind the Scenes in Real-Life Software Design

Continued Fraction Expansions, Part I: Introduction

An introduction to Continued Fraction Expansions (CFEs), a very interesting concept in pure mathematics. See sequels in this series: Part II: https://youtu.be/UY3oEOgXLsw Part III: https://youtu.be/4U9z5qoiDNQ ----- Sources for additional information: Very useful informative article (no

From playlist Number Theory

Marco Serone - 1/3 Resurgence in Integrable Field Theories

: We review recent progress in understanding the resurgent properties of integrable field theories in two dimensions. After a brief recap on elementary notions about Borel resummations, we start with a quick historical detour on the study of the large order behaviour of perturbation theory

From playlist Marco Serone - Resurgence in Integrable Field Theories