Vector calculus | Mathematical analysis

Calculus on Manifolds (book)

Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus (1965) by Michael Spivak is a brief, rigorous, and modern textbook of multivariable calculus, differential forms, and integration on manifolds for advanced undergraduates. (Wikipedia).

Calculus on Manifolds (book)
Video thumbnail

Calculus 1 Lecture 5.2: Volume of Solids By Disks and Washers Method

Calculus 1 Lecture 5.2: Volume of Solids By Disks and Washers Method

From playlist Calculus 1 (Full Length Videos)

Video thumbnail

Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane

Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane

From playlist Calculus 1 (Full Length Videos)

Video thumbnail

Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions

Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions

From playlist Calculus 1 (Full Length Videos)

Video thumbnail

Calculus 1 Lecture 5.1: Finding Area Between Two Curves

Calculus 1 Lecture 5.1: Finding Area Between Two Curves

From playlist Calculus 1 (Full Length Videos)

Video thumbnail

Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions

Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions

From playlist Calculus 1 (Full Length Videos)

Video thumbnail

Infinite Limits With Equal Exponents (Calculus)

#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts

From playlist Calculus

Video thumbnail

Equation of Sphere given Endpoints of Diameter

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equation of Sphere given Endpoints of Diameter

From playlist Calculus

Video thumbnail

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)

Video thumbnail

Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

From playlist Calculus 2 (Full Length Videos)

Video thumbnail

Introduction to Complex Differential Geometry -- Lecture 1 -- Intuition and Definition of Manifolds

I recently completed my Ph.D. under the supervision of Ben Andrews at the Australian National University and Gang Tian at Beijing and Princeton University. My Ph.D. thesis was in the subject of complex differential geometry, the interplay between complex analysis, algebraic geometry, and d

From playlist Research Lectures

Video thumbnail

An Introduction to Multivariable Analysis from Vector to Manifold by Mikusinski and Taylor #shorts

An Introduction to Multivariable Analysis from Vector to Manifold by Mikusinski and Taylor #shorts This is the book on amazon: https://amzn.to/3eomw1u (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyGnwVnlF0UIheP Full Book

From playlist Book Reviews #shorts

Video thumbnail

Math Most People Never See

This video will show you math subjects that most people never see. Many of these subjects are graduate level but some are also undergraduate level. What other areas of math do you think most people never see? Leave a comment below:) All the Math You Missed: https://amzn.to/3ZCaebJ Applied

From playlist Book Reviews

Video thumbnail

What is a Manifold? Lesson 8: Diffeomorphisms

What is a Manifold? Lesson 8: Diffeomorphisms

From playlist What is a Manifold?

Video thumbnail

The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck

Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Robert Bryant, A visit to the Finsler world­

Robert Bryant, Duke University, USA A visit to the Finsler world­

From playlist Conférence en l'honneur de Jean-Pierre Bourguignon

Video thumbnail

Shahn Majid: Quantum geodesic flows and curvature

Talk in the Global Noncommutative Geometry Seminar (23 February 2022)

From playlist Global Noncommutative Geometry Seminar (Europe)

Video thumbnail

A conversation between Louis Kauffman and Stephen Wolfram at the Wolfram Summer School 2021

Stephen Wolfram plays the role of Salonnière in this new, on-going series of intellectual explorations with special guests. Watch all of the conversations here: https://wolfr.am/youtube-sw-conversations Follow us on our official social media channels. Twitter: https://twitter.com/Wolfra

From playlist Conversations with Special Guests

Video thumbnail

Erik van Erp: Pseudodifferential Calculi and Groupoids

In recent work Debord and Skandalis realized pseudodifferential operators (on an arbitrary Lie groupoid G) as integrals of certain smooth kernels on the adiabatic groupoid of G. We propose an alternative definition of pseudodifferential calculi (including nonstandard calculi like the Heise

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

Video thumbnail

Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Divergence Test

Calculus 2 Lecture 9.2: Introduction to Series, Geometric Series, Harmonic Series, and the Divergence Test

From playlist Calculus 2 (Full Length Videos)

Related pages

Differential form | Exterior derivative | Tangent space | Fubini's theorem | Multilinear form | Élie Cartan | Multivariable calculus | Generalized Stokes theorem | Inverse function theorem | Implicit function theorem | Differentiable manifold | Corollary | Michael Spivak | Real analysis | Mathematics | Euclidean space | Chain (algebraic topology) | Vector calculus | Pullback (differential geometry) | Green's theorem