Academic Discipline

Mathematics

Linear algebra, real and complex analysis, topology, differential geometry, probability, combinatorics, and number theory.

18courses132standalone talks428total lectures

Subfields

All Mathematics428 Calculus & Analysis164 Linear Algebra107 Topology & Geometry59 Category Theory, Topos Theory & Set Foundations56 Probability & Information Theory39 Combinatorics & Graph Theory34 Control & Dynamical Systems31 Convex Optimization21 Formal Methods & Type Theory20 Number Theory & Abstract Algebra18 Statistical Learning & Causality7 Algorithmic Information & Coding Theory5 Cryptography4 Computational Complexity3

Calculus & Analysis— Single and multivariable calculus, real and complex analysis, measure theory, Fourier analysis, and ODEs/PDEs.

12 topics

All Calculus & Analysis Real Analysis & Measure Theory53 Multivariable & Vector Calculus46 Differential Equations (ODEs & PDEs)32 Fourier & Functional Analysis15 Complex Analysis12 Continuity3 Coordinate Systems3 Limits3 Limits of Functions3 Vector Arithmetic3 3 Blue 1 Brown2 Absolute Convergence2

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Preface: MIT Calculus Revisited - Single Variable Calculus

18.01SC · Single Variable Calculus · Lec 1·Differential Equations (ODEs & PDEs) · Herbert Gross · MIT

Herbert Gross

MIT

32:06

Computer-Assisted Proofs in Fluid PDEs using Interval Arithmetic

Mathematics·Research Seminar·Control & Dynamical Systems · Tristan Buckmaster · Princeton University

Tristan Buckmaster

Princeton University

56:08

Orthogonal Projections for a Restricted Family of Directions

Mathematics·Research Seminar·Linear Algebra · Hong Wang · Clay Mathematics Institute

Hong Wang

Clay Mathematics Institute

55:39

The Essence of Calculus: Discovering the Fundamental Theorem

Mathematics·Standalone Lecture·Real Analysis & Measure Theory · Grant Sanderson · 3Blue1Brown

Grant Sanderson

3Blue1Brown

17:04

Yves Meyer's Work on Wavelets (Abel Prize Lecture)

Mathematics·Public Colloquium·Real Analysis & Measure Theory · Terence Tao · UCLA

Terence Tao

UCLA

30:17

Constructing the Rational Numbers

MATH 131 · Real Analysis · Lec 1·Category Theory, Topos Theory & Set Foundations · Francis Su · Harvey Mudd College

Francis Su

Harvey Mudd College

1:02:05

The Fourier Transforms and its Applications (EE 261): Lecture 2

Mathematics·Standalone Lecture·Real Analysis & Measure Theory · Brad Osgood · Stanford University

Brad Osgood

Stanford University

52:57

Sets, Set Operations and Mathematical Induction

18.100A · Real Analysis · Lec 1·Category Theory, Topos Theory & Set Foundations · Casey Rodriguez · MIT

Casey Rodriguez

MIT

1:14:22

Cantor's Theory of Cardinality (Size)

18.100A · Real Analysis · Lec 2·Category Theory, Topos Theory & Set Foundations · Casey Rodriguez · MIT

Casey Rodriguez

MIT

1:25:07

Convex Functions

Optimization Bootcamp: Convex Optimization for ML & Control · Lec 6·Convex Optimization · Steve Brunton · University of Washington

Steve Brunton

University of Washington