SANSU-SUGAKU MARUGOTO NYUMON

by... Naoki Kawata

... .

240.-

: . (1989)

by... Naoki Kawata... .

240

1 2555

, .

. - - : (-), 2555.

288 .1. - - .I. , . II. .

510.76ISBN 978-974-443-520-0

SANSU-SUGAKU MARUGOTO NYUMON by Naoki KawataCopyright Naoki Kawata, 2004 All rights reserved.Original Japanese edition published by SEIBUNSHINSHA Publishing Co., Ltd. Tokyo. This Thai language edition is published by arranged with SEIBUNSHINSHA Publishing Co., Ltd. Tokyo through Tuttle-Mori Agency, Inc., Tokyo. (-)

... 5-7 29 10110 . 0-2258-0320 (6 ), 0-2259-9160 (10 ) www.tpa.or.th/publisher/new www.tpabookcentre.com

() 19 1858/87-90 - 10260 . 0-2739-8000, 0-2739-8222 0-2739-8356-9 www.se-ed.com

. 0-2258-0320 1560, 1570

1 11 2

2 6

3 11

4 16

5 21

6 26

7 31

8

37

9 42

10 47

2 5511 - 56

12 62

13 68

14 2 73

15 3 79

16 84

17 - 90

18 - 96

19 102

20 108

3 11521 180 116

22 121

23

127

24 132

25 138

26 143

27 148

28 154

29 160

30 165

4 17531 176

32 182

33 187

34 192

35 197

36 203

37 208

38 214

39 220

40 225

5 23541 236

42 241

43 246

44 254

45 258

45

?

()

()

()

()

()

()

* , Seibunsha Seibunshinsha

2

?

1

3776

3776

- 1000 ()

- 100 ()

- 10 ()

- 1 ()

2

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

9

1 0 10

10 100 (= 102)

100 1000 (= 103)

3776 m

1 3

103....

102.... 10.... 1....

102 10

10 n

10n ( 10 n)

100

1000

2 103 + 0 102 + 3 10 + 5 = 2035

() 3 () 7 () 7 () 6

1016

1015

1014

1013

1012

1011

1010

109 108 107 106 105 104 103 102 101 1

...

4

1033 (Decillion) 1048 -

(Quindecillion) 1060

(Novemdecillion)

11001

0

1 0 1

1 24 + 1 23 + 0 22 + 0 21 + 1 20 = 25

2 252 122 62 3 1

24 = 16 23 = 8 22 = 4 21 = 2 20 = 1

1001

25 2 12 2 6 2 3 2 3 2

11

100

2

1 5

1 1 0 0 1

10

9

( Showa Joshidai)

10

29 = 512

10

210 1 = 1023

512

1023

1023 511 = 512

4

4 1000

1 23 + 0 22 + 0 21 + 0 1 = 23 = 8

6

1111

5 1

24 - 1 = 16 - 1 = 15

8 15

1 1, 2, 3, 4,

5, 6, 7, ...

2

3 147, 184, 115

3, 4 7

2

()

,

,

?

1 7

A B (A > B)

Q R

A = B Q + R (0 R < B)

R B

R = 0

A = B Q

A B B

A

2 M = 42, N = 56

M 1 , 2 , 3, 6, 7 , 14 , 21, 42

N 1 , 2 , 4, 7 , 8, 14 , 28, 56

M N ()

14

M N

M 42, 84, 126, 168 , 210, 252, 294,

336 , ...

N 56, 112, 168 , 224, 280, 336 , 392,

448, ...

8

M N

168

x

147 3 = 144, 184 4 = 180, 115 7 = 108

x 144, 180, 108

7 ()

x = 9, 12

x 144, 180 108

3

1 9

()

1

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...

1

144, 180, 108

144 = 2 2 2 2 3 3 (= 24 32)

180 = 2 2 3 3 5 (= 22 32 5)

108 = 2 2 3 3 3 (= 22 33)

3

2 2 3 3 = 36 (= 22 32)

2 2 2 2

3 3 3

5

2 2 2 2 3 3 3 5 = 2160 (= 24 33 5)

10

11 7

5 3 11 5

( Setsunan)

1, 2, 3, 4, 5, 6, 7, ...

11 7

7, 18 , 29, 40, 51, 62, 73, 84, 95, 106, 117,

128 , 139, 150, 161, 172, 183 , ...

5 3

55 () + 18

55 18