Resources for graduates


Algorithmic combinatorics

Combinatorics for Computer Science
by S. Gill Williamson
PDF

Algebraic number theory

Milne's lecture notes

Algebraic Number Theory, a Computational Approach
by William Stein
PDF
Introduction to Algebraic Number Theory
by Frederique Oggier
PDF

Abstract algebra

Abstract Algebra: The Basic Graduate Year
by Robert B. Ash
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Algebraic Methods
by Frederique Oggier
PDF

Combinatorics

Analytic Combinatorics
by Philippe Flajolet and Robert Sedgewick
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Foundations of Combinatorics with Applications
by Edward A. Bender S. Gill Williamson
PDF

Graph theory


Real analysis

Real analysis playlists by ICTP Postgraduate Diploma Programme: 1, 2, 3


Mathematical logic

Logical rules and the meanings of the connectives, David Charles McCarty
Copernicus Center for Interdisciplinary Studies

Set theory

Introduction to Modern Set Theory
by Judith Roitman
PDF

Linear algebra

Linear Algebra Abridged
by Sheldon Axler
PDF
Comprehensive Introduction to Linear Algebra
by S. Gill Williamson and Joel G. Broida
PDF
Comprehensive Introduction to Linear Algebra
by S. Gill Williamson and Joel G. Broida
PDF
Comprehensive Introduction to Linear Algebra
by S. Gill Williamson and Joel G. Broida
PDF

Measure theory

Measure theory playlist by Instituto de Matemática Pura e Aplicada


Other

A Course In Algebraic Number Theory
by Robert B. Ash
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A Course In Commutative Algebra
by Robert B. Ash
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Tasty Bits of Several Complex Variables
by Jiri Lebl
PDF
A Course in Universal Algebra
by Stanley N. Burris and H. P. Sankappanavar
PDF
An Introduction to the Theory of Numbers
by Leo Moser
PDF
Group Theory
by Predrag Cvitanovic
PDF

YouTube videos