The most beautiful mathematical formulas:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
New York [u.a.]
Wiley
1992
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 141 S. Ill., graph. Darst. 24 cm |
| ISBN: | 0471552763 |
Staff View
MARC
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| 100 | 1 | |a Salem, Lionel |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Les plus belles formules mathématiques |
| 245 | 1 | 0 | |a The most beautiful mathematical formulas |c Lionel Salem ; Frédéric Testard ; Coralie Salem |
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1992 | |
| 300 | |a XIII, 141 S. |b Ill., graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Mathématiques - Formules |2 ram | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |v Formulae | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Formel |0 (DE-588)4133595-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | 1 | |a Formel |0 (DE-588)4133595-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Testard, Frédéric |e Verfasser |4 aut | |
| 700 | 1 | |a Salem, Coralie |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003463637&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003463637 | ||
Record in the Search Index
| _version_ | 1804119747375136768 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION
XI
POWERS
OF
NUMBERS
1.
WHOLE
POWERS
OF
NUMBERS
2
2
.
2*
X
2
M
*
2
N+M
4
TRIANGLES,
RECTANGLES,
SQUARES,
AND
CIRCLES
3.
THE
AREA
OF
A
RECTANGLE
IS
EQUAL
TO
THE
PRODUCT
OF
ITS
SIDES
8
4.
THE
AREA
OF
A
TRIANGLE
IS
EQUAL
TO
ONE-HALF
THE
PRODUCT
OF
ITS
HEIGHT
AND
BASE
10
5.
THE
SUM
OF
THE
ANGLES
OF
A
TRIANGLE
EQUALS
180
12
6.
(A
+
B)
2
=
A
2
+
2
AB
+
B
2
14
7.
(A
+
B)(A-B)
=
A
2
-
B
2
16
8.
THE
PYTHAGOREAN
THEOREM:
A
2
+
B
2
=
C
2
18
9.
THE
CIRCUMFERENCE
OF
A
CIRCLE
EQUALS
2
^R
20
10
.
THE
AREA
OF
A
CIRCLE
EQUALS
TTR
2
24
ANGLES
11.
COS
2
A
+
SIN
2
A
=
1
A
2
12.
SIN
A
~
A,
COS
~
1--*
(A
SMALL)
*
SIN
A
SIN
P
SIN
Y
3
,
7
ABC
14.
RATIONAL
AND
IRRATIONAL
NUMBERS
-VII-
28
32
34
36
THE
MOST
BEAUTIFUL
MATHEMATICAL
FORMULAS
15.
TT
~
355
113
38
QUADRATIC
EQUATIONS
16.
THE
ROOTS
OF
A
QUADRATIC
EQUATION
17.
THE
GOLDEN
RATIO:
^
18.
IMAGINARY
NUMBERS:
I
=
V*
1
42
44
48
LOGARITHMS
AND
EXPONENTIALS
19.
THE
DISCOVERY
OF
LOGARITHMS
20.
THE
WONDERFUL
LAW
OF
LOGARITHMS:
LOG
(
AB
)
=
LOG
A
+
LOG
B
21.
1
+
^
-
*
LOG
N
CONVERGES
TO
0.577...
2
N
22.
LOG
(1
+X)
~
X
(X
SMALL)
23.
THE
NUMBER
E
24.
THE
NUMBER
E
RAISED
TO
A
REAL
POWER
25.
DERIVATIVES
AND
INTEGRALS:
AREAS
VIEWED
FROM
TWO
DIFFERENT
PERSPECTIVES
26.
THE
NUMBER
E
RAISED
TO
AN
IMAGINARY
POWER:
E
M
=
COS
A
+
I
SIN
A
27.
E?*
=
-
1
28.
COS
2A
=
COS
2
A
*
SIN
2
A;
SIN
2A
=
2
SIN
A
COS
A
52
56
58
62
64
66
68
70
72
74
SERIES
OF
NUMBERS
29.
1
+
2
+
...+
N
=
78
30.
THE
FIBONACCI
SEQUENCE:
F
N
=
F
N
_[
+
F
N
_
2
80
31.
THE
NUMBER
OF
WAYS
OF
ARRANGING
N
OBJECTS
IS
N
=
N
X
(N*1)
X
(N-2)
X...X
3X2X1
82
32
2
+
4
+
8
+
-
=
1
VM
84
CONTENTS
33.
1
+
X
+
X
2
+
X
3
+...
=
*-*
(FOR
|
X
1)
86
1
*X
34.
A
FEW
OTHER
SUMS
88
OBJECTS
IN
SPACE
35.
EULER*S
THEOREM:
F
-
E
+
V
=
2
92
36.
THE
SURFACE
AREA
OF
A
SPHERE
EQUALS
4
T
TR
2
94
4
,
37.
THE
VOLUME
OF
A
SPHERE
EQUALS
~
IT
R
96
38.
THE
ANGLE
AT
THE
CENTER
OF
A
REGULAR
TETRAHEDRON
EQUALS
109
28
98
39.
THE
BRIDGES
OF
KOENIGSBERG
100
WHOLE
NUMBERS,
PRIME
NUMBERS
40.
LAGRANGE*S
THEOREM:
EVERY
WHOLE
NUMBER
IS
THE
SUM
OF
FOUR
SQUARES
104
41.
FERMAT*S
LAST
THEOREM
106
42.
PRIME
NUMBERS
ARE
INDIVISIBLE
108
43.
GOLDBACH*S
CONJECTURE:
EVERY
EVEN
NUMBER
IS
THE
SUM
OF
TWO
PRIMES
110
44.
THE
PRIME
NUMBER
THEOREM
112
CHANCE
45.
THE
CHANCE
OF
WINNING
THE
LOTTERY
116
46.
ROULETTE
AND
D*ALEMBERT*S
MARTINGALE
118
47.
PASCAL*S
TRIANGLE
120
TODAY
AND
TOMORROW...
48.
THE
BINARY
SYSTEM:
1
+
1
=
10
124
49.
TOWARD
INFINITY
128
ANNEX
131
B
IOGRAPHICAL
INDEX
133
INDEX
139
IX
|
| any_adam_object | 1 |
| author | Salem, Lionel Testard, Frédéric Salem, Coralie |
| author_facet | Salem, Lionel Testard, Frédéric Salem, Coralie |
| author_role | aut aut aut |
| author_sort | Salem, Lionel |
| author_variant | l s ls f t ft c s cs |
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| bvnumber | BV005527161 |
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| classification_tum | MAT 001f |
| ctrlnum | (OCoLC)831333367 (DE-599)BVBBV005527161 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005527161 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:31:06Z |
| institution | BVB |
| isbn | 0471552763 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003463637 |
| oclc_num | 831333367 |
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| owner_facet | DE-91 DE-BY-TUM DE-824 DE-29T DE-634 DE-11 DE-188 DE-210 |
| physical | XIII, 141 S. Ill., graph. Darst. 24 cm |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Wiley |
| record_format | marc |
| spelling | Salem, Lionel Verfasser aut Les plus belles formules mathématiques The most beautiful mathematical formulas Lionel Salem ; Frédéric Testard ; Coralie Salem New York [u.a.] Wiley 1992 XIII, 141 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Mathématiques - Formules ram Mathematik Mathematics Formulae Mathematik (DE-588)4037944-9 gnd rswk-swf Formel (DE-588)4133595-8 gnd rswk-swf Mathematik (DE-588)4037944-9 s Formel (DE-588)4133595-8 s DE-604 Testard, Frédéric Verfasser aut Salem, Coralie Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003463637&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Salem, Lionel Testard, Frédéric Salem, Coralie The most beautiful mathematical formulas Mathématiques - Formules ram Mathematik Mathematics Formulae Mathematik (DE-588)4037944-9 gnd Formel (DE-588)4133595-8 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4133595-8 |
| title | The most beautiful mathematical formulas |
| title_alt | Les plus belles formules mathématiques |
| title_auth | The most beautiful mathematical formulas |
| title_exact_search | The most beautiful mathematical formulas |
| title_full | The most beautiful mathematical formulas Lionel Salem ; Frédéric Testard ; Coralie Salem |
| title_fullStr | The most beautiful mathematical formulas Lionel Salem ; Frédéric Testard ; Coralie Salem |
| title_full_unstemmed | The most beautiful mathematical formulas Lionel Salem ; Frédéric Testard ; Coralie Salem |
| title_short | The most beautiful mathematical formulas |
| title_sort | the most beautiful mathematical formulas |
| topic | Mathématiques - Formules ram Mathematik Mathematics Formulae Mathematik (DE-588)4037944-9 gnd Formel (DE-588)4133595-8 gnd |
| topic_facet | Mathématiques - Formules Mathematik Mathematics Formulae Formel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003463637&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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