Mathematics The Beautiful Story of High School Mathematics / Hiroyuki Nanba

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Mathematics
[Introduction to Contents]
This book can be read from anywhere and from the point of interest, and all articles are
High school mathematics (which can be understood from the range up to high school mathematics)
Beautiful (the assertion or proof is simple and interesting)
Story (famous story that has been passed down among some mathematical maniacs)
.
Also, taking advantage of the experience of the author who is involved in the research and development of AI, I wrote an appendix at the end of the book, "Relationship between High School Mathematics and AI".
Welcome to the world of mathematics, which can be enjoyed both at home and deep.
Chapter 1 : Beautiful Theorems that can be enjoyed in junior high school mathematics
Three Relationship between the area of a triangle
Chapter 3 Which do you like, an elegant proof or a steady proof?
Three proofs of the distance formula between a point and a straight line
Three proofs of the equation of a plane and its three ways of calculation
Comparison with two ways of calculating the angle formed by two straight lines
Three proofs of Cheba's theorem
Applications of Tremie's theorem and its proof
Five proofs of Nesbitt's inequality
Various proofs of the ratio of pi to be greater than 3.05
Four square theorem (area and orthogonal projection of a figure)
Beautiful proof of infinite prime numbers
Three proofs of the interval of prime numbers
The proof of Euler's Probability and Proof of Polya's Jar
・ Proof of the Number of Complete Shots and the Bell number
・ Area and sum of the internal angles of a triangle on a spherical surface
・ Frank- Molly's Theorem and Proof of Polya's Jar
End-of-book Appendix Relationship between High School Mathematics and Artificial Intelligence
Author's Brief history
Born in Okayama Prefecture in 1991.
Graduated from the Faculty of Engineering, The University of Tokyo.
Completed the Master's Program in the Graduate School of Information Science and Engineering, The University of Tokyo.
He has been fond of numbers and figures since he started to remember things. He studied the whole range of high school mathematics TETRIS Shikone regular solid recurrence formula recurrence formula