1.2 Dawn
1.3 one-to-one correspondence
1.4 divided by constant
1.5 digital language
Development of the number 1.6
1.7 finger counter
1.8 Pyramid
1.9 binary
1. 1 0 binary
1. 1 decimal
1. 1 2 Location and 0 2. 1 How many ancestors are there?
2.2 units of measurement
2.3 Representation of continuous quantities
2.4 the significance of the score
2.5 Folding and unfolding
2.6 Score comparison
2.7 Addition and subtraction of fractions
2.8 Extended Interpretation of Multiplication
2.9 times decrease, except increase.
2. The meaning of10 decimal
2. 1 1 Fractions and decimals
2. 12 cycles decimals and fractions
2. 13 acyclic decimal
2. 14 addition, subtraction, multiplication and division
2. 15 mathematics and the real world 3. 1 pros and cons
3.2 Name of the new number
3.3 minus sign
3.4 Positive and negative addition
3.5 subtraction operation
3.6 Stendhal's problems
3.7 Multiplication operation rules
3.8 Connecting with practice
3.9 rational number field
3. 10 algebra and 4. 1 pronoun arithmetic
4.2 Algebraic Grammar Exchange Law
4.3 Association Law
4.4 Distribution method
4.5 equation
4.6 Etymology of Algebra
4.7 Calculation of Turtle Crane
4.8 linear equation
4.9 simultaneous equations
4. 10 matrix and vector
4. 1 1 matrix calculation
4. 12 simultaneous equations and matrices
4. 13 wonderful algebra 5. 1 two long-term bestsellers
5.2 Analysis method
5.3 Analysis and Synthesis
5.4 connection
5.5 congruent triangles
5.6 axioms
5.7 Thales Theorem
5.8 Donkey Bridge Theorem
5.9 Conditions and Conclusions
5. 10 symmetry
Theorem 5. Relation of11
5. 12 Trilateral Congruence Theorem
5. 13 the logic of catching mice-reduction to absurdity
5. 14 back overlap
5. 15 straight line perpendicular to the plane
5. 16 parallel lines
5. 17 interior angle of triangle
5. 18 All donkeys know.
5. 19 problems that donkeys can't solve
5.20 Backward Push Method
5.2 1 point equidistant from three points 6. 1 world of straight lines and circles
6.2 the question of god
6.3 Quadrilateralization of Circle
6.4 Invariance Theorem of Circle Angle
6.5 area
6.6 Pythagoras theorem
6.7 Length calculation method
6.8 From Touch to Vision
6.9 Similarity and proportion
6. 10 Similar conditions
6. 1 1 pentagram
6. The secret of12 pentagram
6. 13 Rational numbers are everywhere.
6. 14 irrational numbers are everywhere.
6. 15 real number 7. 1 quadratic equation
7.2 Solution of Quadratic Equation
7.3 Number of congenital defects
7.4 complex number
7.5 addition and subtraction
7.6 Multiplication and Division
7.7 regular polygon
7.8 Regular Pentagon
7.9 Gauss's Outlook on Development
7. 10 cubic equation 8. 1 Everything is a number
8.2 The Magic of Numbers
8.3 Identity
8.4 Calculation method of identity
8.5 Method of finding divisor
8.7 prime numbers
8.8 Uniqueness of Decomposition
8.9 Fermat Theorem
8. 10 Cyclic Decimal 9. 1 Change and Invariance
9.2 Variables and functions
9.3 proportion
9.4 Calculation Method of Parrot
9.5 Forms of change
9.6 Various functions
9.7 chart
9.8 Functional Diagram
9.9 Analytic geometry
9. 10 straight line
9. 1 1 intersection and combination
9. 12 Bezu theorem
9. 13 conic curve
9. 14 conic 10. 1 motion and infinity
10.2 infinite series
10.3 Infinite Paradox
10.4 addition has no answer.
10.5 A fantasy game
Convergence conditions of 10.6 Cauchy
10.7 convergence and addition, subtraction, multiplication and division
10.8 rule series
10.9 Pascal triangle
10. 10 mathematical induction
10. 1 1 Gaussian distribution
10. 12 order difference 14. 1 step by step solution 14.2 direction field 14.3 broken line method 14.4 falling body rule 14.5 linear differential. 04.8 From Kepler to Newton 14.9 Integral Law and Differential Law 14. 10 Laplace's Magic14.1Chain Curve.
appendix
refer to
postscript