Journal of elementary mathematics„ŸSHOTOH SUGAKU„Ÿ

VOL.53@January 2006
Preface
@On the history of Shoto Sugaku's recent ten years Yasuo Matsuda
Research
@A new theorem about the circle - Raio theorem Raio Kannna
@A generalization of H. Ohtsuka's result o‚Žthe binomial coefficient Mitsuhiro Kumano
@On some interesting topics Mitsuhiro Kumano
@The reflection of the figures expressed by the poler representation Nobutaka Shigeki
@On the periodic continued roots…Ÿ Minoru Shimobayashiyama
@Suppliments to Shoto Sugaku No.52 Teruo Nishiyama
@An improvement in the upper bounds for Shinji Nozaki
@What type cylinders and boxes have constant volume but minimum surface area Yasuo Matsuda
@ On the functional equation {f(x)}2=1+f(x/2) (x†0) Seiichi Manyama
@On the estimating expression of (x+1)x+1/exx (x>0) Seiichi Manyama
Education in Mathematics
@When do we need ƒΞ? (4) Mitsuhiro Kotani
@Some ingenious method of the calculation of the square of the integer Yasuo Matsuda
@Some development of the problems 462 Tonkoh
Solutions to the problems
@No.521 Yoshio Matsuoka
@No.522 Toshi Sugiyama
Problems
@No.531,532, 533
@Some problems in connection with the name of this year Tonkoh
From the directors
Research
@ The 9 proofs of and applications for the number theory Miki Shiotani

VOL.54@June 2006
Preface
@On the issue of Shoto Sugaku Toshihiko Miyaji
Lectures
@Traditional Japanese Mathematics `Wasan` Part XVII Hinoto Yonemitsu
@EurekaI(geometry ) Hisao Todoroki
Research
@What is KNOT Kazuhisa Ooi
@On the extended theorem of Simson's line and the theorem of Feuerbach (21) Toshiyuki Kinoshita
@On an elastic collision and a trigonometrical problem Mitsuhiro Kumano
@Calculation of the area of ellipes by not turning but shifting it Nobutaka Shigeki
@From finity to infinity (13) Mitsuhiro Kotani
@On the period continued roots II Minoru Shimobayashiyama
@Some comments on Rao's theorem in No.53 Toshitaka Takabayashi
@Equations that stick in my memory Takashi Hokutoh
@ On the Erdos-Straus conjecture Mitsuaki Takabayashi
@A sangaku problem and its generalization Taichi Maekawa
@ On the problem 53-2 in No.53 Taichi Maekawa
@The sum of the recurring period of 1/pq divided in two Yasuo Matsuda
@On the cycloid Yasuo Matsuda
@On the length of an outside curve Seiichi Mannyama
@Some development of problem 49-1 Seiichi Mannyama
@Some characters of Appolonius's circle and their applications for mathematics lessons Yoshiaki Yuikawa
Education in Mathematics
@When do we need ƒΞ? (5) Mitsuhiro Kotani
@Various methods of leading the formula to the sum of the arithmetic progression Toshihiko Miyaji
Solutions to the problems
@No.531 Hiroshi Kotera
@No.532 Shigeshi Shirasaka
Problems
@No.541,542, 543
From the directors
VOL.55@November 2006
Preface
@Finite and infinite Yasuo Matsuda
Feature articles on Mr. Yoshio Matsuoka
@Mr. Yoshio Matsuoka and high school mathematics Toshihiko Miyaji
@Memories of Mr. Yoshio Matsuoka Shigeshi Shirasaka
@On the clairvoyance of Mr. Matsuoka Yasuo Matsuda
Lectures
@Traditional Japanese Mathematics `Wasan` Part XVIII Hinoto Yonemitsu
@Eureka 2 (Crisis and the development of mathematics) Hisao Todoroki
Research
@On a new method for the summation of some finite sequences Mitsuhiro Kumano
@On the discovery of another solution after ten years Mitsuhiro Kumano
@Graphical magic of the Lewis Caroll type Masanori Kozaki
@On M. Fujiwara's ugly theorem Tonkoh
@On the most difficult entrance examination in mathematics for university Tonkoh
@On the integral coefficient polynomial which has a root tanƒΞ/n Shinji Nozaki
@What are Ramsey phenomena Masakazu Nihei
@A new method of folding a paper into a trisection Yasuo Matsuda
@ Elliptic as a section of the cylinder Yasuo Matsuda
@On the solution of quadratic equations of which coefficients are complex numbers Shigeo Moriya
@ On the number "1729" Takeshi Hokutoh
Education in Mathematics
@The basic theory for school education (6) Mitsuhiro Kotani
@On the one-to-one correspondence Yasuo Matsuda
Solutions to the problems
@No.533 Yasuo Matsuda
@No.541 Harushi Hiraiwa
@No.542 Yasuo Matsuda
@No.543 Toshihiko Miyaji
Problems
@No.551,552, 553 @
From the directors
Appendix
@The text of the integer for high school students Nobutaka Shigeki
VOL.56@April 2007
Preface
@The logic Shozo Serizawa
Lectures
@Traditional Japanese Mathematics `Wasan` Part 19th Hinoto Yonemitsu
@ Eureka 3 (Minoru Tomita's mathematics) Hisao Todoroki
Research
@Entrance exam. for a postgraduate school e06 Kazumasa Ikeda
@On the factorization into prime factors for some special integers Kei Kawasaki
@ Holder's inequality has appeared ! Mitsuhiro Kumano
@On a generalization of the trigonometrical problem Mitsuhiro Kumano
@On the math problems of the University Testing Center Mitsuhiro Kumano
@ From finity to infinity (14) Mitsuhiro Kotani
@On the harmonical range of harmonic points Nobutaka Shigeki
@Dense and discrete Minoru Shimobayashiyama
@ On the Diophantine Equation ‚˜‚P‚˜‚Qc‚˜‚Ž‚‹(‚˜‚P+‚˜‚Q+c+‚˜‚Ž) Mitsuaki Takabayashi
@On M. Kumano's research Kaoru Takamura
@ Some solutions for the questions of N. Takayama Kaoru Takamura
@ Some interesting problems about the pigeonhole principle Masakazu Nihei
@ On the factorization of Chebychev polynomial Shinji Nozaki
@ On the factorial function and the quadratic function in which values repeat the root of an equation of the third degree Masashi Hashiguti
@ On the sum of Fibonacci numbers Takeshi Hokutoh
@ On the mathematical principle of lethal genes Yasuo Matsuda
@ On the functional equation {‚†(‚˜)}21{‚˜‚†(x/2)i‚˜†0j(2) Seiichi Mannyama
@ A curious magic square Seiichi Mannyama
@ On the inequality (‚˜3{‚š3)(‚™3{‚—3)…1 Toshihiko Miyaji
@ A theorem of exchange Yasuo Matsuda
Education in Mathematics
@On the problems of the shortest routes Yuki Nagamitsu
Solutions to the problems
@No.551 Yasuo Matsuda
@No.552 Toshihiko Miyaji
Problems
@No.561,562, 563 @
From the directors
VOL.57@September 2007
Preface
@Solving Wasanfs problems heals my health Taichi Maekawa
Lectures
@Traditional Japanese Mathematics `Wasan` Part 20th Hinoto Yonemitsu
@ Eureka 4 (Minoru Tomita's mathematics) Hisao Todoroki
Research
@On the sequence of natural numbers which satisfy an2+1an-1an+1 Hirohumi Uda
@Srinivasa Ramanujan's calculations Yuuki Kamura
@ Multiplication formula (Xn{Yn{Zn) (‚Ž:odd prime number ) Kei Kawamura
@On various trigonometrical equalities and their proofs Mitsuhiro Kumano
@About the round robin tournament Nobutaka Shigeki
@ Introduction to the arithmetic of polynomial Minoru Shimobayashiyama
@The visual proofs for the formula of trigonometric function Shigeshi Shirasaka
@Some interesting characteristics of the paraboloid of revolution Mitsuru Takasu
@ Enjoying inequalities Kaoru Takamura
@ Evaluation ƒ°‡1/ns2nCn Kaoru Takamura
@ Easy methods of the calculations of k times the each place number for any integer Tonkoh
@ On the backbone and some extensions of the problem 54-2 Tonkoh
@ ‚†(‚˜)sinx H Takeshi Hokutoh
@ Why cosƒΖ|1/‚Ž H Yasuo Matsuda
@ On great or small comparisons between abac and babc Seiichi Mannyama
@ Some methods for the calculation of the value ƒ°kprk-1 Toshihiko MIyaji
Education in Mathematics
@The basic theory for school education (2) Mitsuhiro Kotani
@ On the lesson for the length of the bisection of an angle Katsuyoshi Nakahara
@On the circle and the parabola which touch each other Yasuo Matsuda
@On the plan of the lessons for the calculation of the value of ƒ° Toshihiko MIyaji
Solutions to the problems
@No.553 Shigeshi Shirasaka
@No.561 Kazumasa Ikeda
@No.563 Yasuo Matsuda
@No.562 Katsuhiko Shiozaki
@Extensions of the problem No.562 Yuuto Murakami
Problems
@No.571,572 @
From the directors

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