A Course in Combinatorics(Chapter 14) by J. H. van Lint

Recursions and generating functions

A Course in Combinatorics(Chapter 13) by J. H. van Lint

Elementary counting; Stirling numbers

A Course in Combinatorics(Chapter 9) by J. H. van Lint

Two (0,1,*) problems: addressing for graphs and a hash-coding scheme

The Cauchy-Schwarz master class(Chapter 4) by Steele

On Geometry and Sums of Squares

A Course in Combinatorics(Chapter 6) by J. H. van Lint

Dilworth's theorem and extremal set theory

A Course in Algebra(Chapter 4) by Vinberg

Elements of Group Theory

A Course in Combinatorics(Chapter 5) by J. H. van Lint

Systems of distinct representatives

A Course in Combinatorics(Chapter 4) by J. H. van Lint

Turan's Theorem and extremal graphs

A Course in Combinatorics(Chapter 3) by J. H. van Lint

Colorings of graphs and Ramsey's Theorem

解析概論(Chapter 3) by 高木貞治

积分法

An Introduction to the theory of numbers(Chapter 3) by hardy

Farey Series and a Theorem of Minkowski

An Introduction to the theory of numbers(Chapter 2) by hardy

The series of primes

Fourier analysis an introduction(Chapter 2) by Stein

Basic Properties of Fourier Series

Cours de mathématiques tome 1 Algébre by Arnaudiès chapter 1

Vocabulaire de théorie des ensembles

An invitation to discrete mathematics(Chapter 13) by Matousek

Applications of linear algebra

An invitation to discrete mathematics(Chapter 12) by Matousek

Generating functions

An invitation to discrete mathematics(Chapter 11) by Matousek

Order from disorder: Ramsey's theorem

An invitation to discrete mathematics(Chapter 10) by Matousek

Probability by counting

An invitation to discrete mathematics(Chapter 9) by Matousek

Finite projective planes

解析概論(Chapter 2) by 高木貞治

微分法

An invitation to discrete mathematics(Chapter 8) by Matousek

The number of spanning trees

Fourier analysis an introduction(Chapter 1) by Stein

The genesis of fourier analysis

An invitation to discrete mathematics(Chapter 7) by Matousek

Double-counting

Topics in the Theory of Numbers(Chapter 2) by Erdos

Congruences

An invitation to discrete mathematics(Chapter 6) by Matousek

Drawing graphs in the plane

A Course in Algebra(Chapter 3) by Vinberg

Elements of Polynomial Algebra

Linear Programming 1: Introduction(chapter 1)

The Linear Programming Problem

Linear Algebra(Chapter 10) by Hoffman

Bilinear Forms

Linear Algebra(Chapter 9) by Hoffman

Operators on Inner Product Spaces

Linear Algebra(Chapter 8) by Hoffman

Inner Product Spaces

Topology and geometry(Chapter 1) by Bredon

General Topology

Linear Algebra(Chapter 7) by Hoffman

The Rational and Jordan Forms

Linear Algebra(Chapter 6) by Hoffman

Elementary Canonical Forms

The Cauchy-Schwarz master class(Chapter 3) by Steele

Lagrange's Identity and Minkowski's Conjecture

Probability: Theory and Exmaples(Chapter 1) by Durrett

Measure Theory

An invitation to discrete mathematics(Chapter 4) by Matousek

Graphs: an introduction

Linear Algebra(Chapter 5) by Hoffman

Determinants

The Cauchy-Schwarz master class(Chapter 2) by Steele

Cauchy's Second Inequality: The AM-GM Bound

Linear Algebra(Chapter 4) by Hoffman

Polynomials

An invitation to discrete mathematics(Chapter 3) by Matousek

Combinatorial counting

The Cauchy-Schwarz master class(Chapter 1) by Steele

Starting with Cauchy

Cours Analysel(Chapter 1) by Paulin

Vocabulaire

Linear Algebra(Chapter 3) by Hoffman

Linear Transformations

Linear Algebra(Chapter 2) by Hoffman

Vector Spaces

A Course in Algebra(Chapter 1) by Vinberg

Algebraic Structure

Calculus on manifolds(Chapter 1) by Spivak

Functions on Euclidean Space