Number theory—
Chapter 1 Six proofs of infinite prime numbers
Chapter 2 Bertrand hypothesis
Chapter III Binomial coefficient is (almost) non-power.
Chapter 4 uses sum of squares to represent natural numbers.
Chapter 5 A finite division ring is a domain.
Chapter 6 Some Irrational Numbers
Chapter 7 Three Explorations 2/6
Geometry—
Chapter 8 Hilbert's third problem: decomposition of polyhedron
Chapter 9 Synthesis of Plane Lines and Decomposition of Graphs
Chapter 10 slope problem
Chapter 1 1 Three Applications of Euler Formula
Chapter 12 Cauchy rigidity theorem
Chapter 13 Tangent Simplex
Every large enough point set will produce an obtuse angle.
Chapter 15 Bolsuke conjecture
Analysis-
16 chapter set, function and continuum hypothesis
Chapter 17 Ode to Inequality
Chapter 18 On P6lYa Theorem of Polynomials
Chapter 19 a lemma of Littlewood and 0fToM.
Chapter 20 Cotangent and Hegroz Skills
Chapter 2 1 buffon's needle throwing problem
Combinatorial mathematics—
Chapter 22 Filing and Double Calculation
Chapter 23 Three Famous Theorems on Finite Sets
Chapter 24 Shuffle
25th Zhangge Path and Determinant
Chapter 26 The Gloria Formula of Guanding Tree Counting
Chapter 27 Fill in the Latin Square
Chapter 28 Dinitz problem
Chapter 29 Identity and Bijectivity
Graph theory—
Chapter 30 Five-color Problem of Plan
Chapter 3 1 Museum Security
Chapter 32 Turan's Graph Theory Theorem
Chapter 33 Error-free Information Transmission
Chapter 34 Friends circle and social butterfly
Chapter 35 Probability (sometimes) makes counting simple.
Description of illustrations
Noun index