Current location - Training Enrollment Network - Mathematics courses - Xie Guofang's main works
Xie Guofang's main works
First, foreign language teaching books

Deciphering English —— The Fastest Way to Learn English from Zero to Extreme (Guangdong Economic Publishing House, May 2005)

Revealing the Pronunciation Rules of Japanese Characters: Memorizing the Secrets of Chinese Characters (Guangzhou World Book Publishing Company, June 5438+ 10, 2008)

Unscramble the Mystery of Korean Words —— Shorthand of 3000 Commonly Used Korean Chinese Characters (FLTRP, June 5438+ 10).

Second, foreign audio-visual books.

Oral American English Course for Primary School Students (Guangdong Audio and Video Publishing House, 2004- 1 1)

Hollywood Love Gallery (1) (Guangdong Economic Publishing House, 2004- 12)

Famous British and American Memories (World Audiovisual Electronic Publishing House, April 2005)

Three. Literary, film and television translation works

Genghis Khan (30 episodes of TV series, Chinese-English translation)

4. Online works on foreign language learning and research:

1. Overview of theories and methods of foreign language decryption learning (1)

2. Overview of the theories and methods of foreign language decryption learning (2)- "reverse reading method" and "interpretation method"

3. Thank the multilingual comparative corpus.

4. Detailed explanation of the present tense displacement of various French verbs (1)- the displacement of verbs ending in -er.

Five, mathematics and natural science translation works

1. "On the number of prime numbers less than a given value" (1)

2. Discoveries missed because of the "split" between physicist Dyson and mathematician Dyson (Freeman Dyson)

3. The Third Proof of Gauss, Eisenstein and the Law of Quadratic Reciprocity-A Little Drama

4. Timothy Gals, winner of Fields Prize, talks about how to solve cubic equation-how to find the solution of cubic equation by himself.

Six, mathematical science creation and special research:

1. On the Guidance of (1)- Modular Operation from Parity Numbers

2. Talk about the residue class of (2)- module n from the parity number.

3. Ruler drawing of regular polygon (1)

4. The problem of judging regular polygons (2): The answer to the Millennium problem-Gaussian criterion of regular N-polygons.

5. From Pythagorean Theorem and Pythagorean Number to Fermat Theorem (1)

6. From Pythagorean Theorem and Pythagorean Counting to Fermat Theorem (2)

7. From Pythagorean Theorem and Pythagorean Number to Fermat Theorem (3)

8. The magical Fermat's Last Theorem-from experiment, observation and discovery to conjecture and proof (1)

9. The magical Fermat's Last Theorem —— from experiment, observation and discovery to conjecture and proof (2)

10. The magic equation related to π (1): the great discovery of Euler.

1 1. Random talk on sum of squares (1)- Introduction: lattice points on a circle.

12. Random talk on the sum of squares (2)-What number can be expressed as the sum of two squares?

13. Random talk on sum of squares (3)-Fermat's quadratic theorem and its proof (1)

14. How to solve the cubic equation (1): the key first step-simplify the general cubic equation.

15. Xie Guofang's formula for finding roots of cubic equation with general real coefficients and its discrimination method

16. The derivation method of Xie Guofang's general real coefficient cubic equation 1 (derived from Kadan formula)

17. Derivation method of Xie Guofang's general cubic equation 1 root formula (using complex trigonometric function)

18. Derivation Method 2 of Xie Guofang's General Cubic Equation (Derivation Based on Carding Formula)

19. Xie Guofang's general quartic equation with real coefficients-absolutely accurate, reliable, most concise and quick formula for finding roots.

20. Conversion formula of Euler angle and rotation angle parameters of Xie Guofang's three-dimensional rotation.

2 1. Three-dimensional rotation research manuscript (1)

22. A new theory of solving algebraic equations-how to solve n-degree equations under the guidance of a general strategy (3): the transformation of solving quadratic equations.

23. A New Theory for Solving Algebraic Equations —— How to Solve N-degree Equations under the Guidance of General Strategies (4): Geometrically Intuitive Solution of Cubic Equations (1)

24. Xie Guofang's Conic Curve Theorem-another wonderful work of projective geometry after Pascal's Theorem and Bryan's Theorem.

Seven, published papers in mathematical physics are:

An Elementary Derivation of 1.D Function and Its Application (College Physics,1996,01)

2. New Exploration of Quantum Angular Momentum Theory (College Physics 06 1998)

3. Fourier series representation of spherical coordinate d functions D(θ, φ, ω) and d(ω) (University Physics, 200 1, 0 1)

4. A concise new formula for finding the root of general cubic equation and its determination (Mathematics Learning and Research, No.212)

Among them, the first three papers won the second prize of the first national excellent papers on college physics teaching organized by the Chinese Physical Society.