The secrets of Pi:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
RBA
2012
|
| Schriftenreihe: | Everything is mathematical
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | 143 S. Ill., graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Navarro, Joaquín |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The secrets of Pi |c [Joaquín Navarro, text] |
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| 300 | |a 143 S. |b Ill., graph. Darst. | ||
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| 689 | 0 | 0 | |a Pi |g Zahl |0 (DE-588)4174646-6 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-025431139 | ||
Datensatz im Suchindex
| _version_ | 1804149694315626496 |
|---|---|
| adam_text | Contents
Preface
..................................................................................................................................................... 9
Chapter
1.
Everything you always wanted to know
about
71
but were afraid to ask
................................................................................. 11
Reinventing the wheel
............................................................................................................... 12
The big problem for centuries
............................................................................................ 16
The history of
71:
the early days
........................................................................................... 18
The history of 7C: Archimedes
................................................................................................ 20
The history of
π:
from Archimedes onwards
.............................................................. 24
With them came scandal... and analysis
......................................................................... 31
Chapter
2.
The infinite insignificance and transcendence of
π
43
Numbers and sets
........................................................................................................................... 43
Natural numbers, rational numbers, algebraic numbers
........................................ 47
The real numbers arrive
............................................................................................................ 51
Algebraics and transcendents
................................................................................................. 56
Squaring the circle
....................................................................................................................... 6(1
Chapter
3.
The number
π
and the probability
67
A needle in a haystack
................................................................................................................ 67
And a needle in a grid
................................................................................................................ 70
The normal curve
.......................................................................................................................... -
More probability with
π
.......................................................................................................... 74
Chapter
4.
Formulae with
π
.............................................................................................. 75
Expressions with 7C
....................................................................................................................... 75
Some mathematical formulae in which
π
is involved
76
Basic formulae
.................................................................................................................................. 77
Advanced formulae
.......................................................................................................................
^9
Aside from the formulae
...........................................................................................................
Chapter
5.
Pi-mania
.................................................................................................................. 97
Orbiting
π
...........................................................................................................................................
97
CONTENTS
Poems
and mnemonics
........................................................................................................... 101
Pi-music ............................................................................................................................................
107
Temperament ......................................................................................................................... 108
Cinema, literature
and
π
......................................................................................................... 109
The number
π
and the law
................................................................................................... 111
The number
π
and art
............................................................................................................. 113
Chapter
6.
A second glance at infinity
................................................................... 119
Monkeys, keyboards and libraries
..................................................................................... 121
The infinite digits of
π
............................................................................................................ 124
The indemonstrable normalcy of
71 ................................................................................ 125
The inadequate randomness of
К
..................................................................................... 126
The inaccessible universality of
π
..................................................................................... 128
What can and can not be proven
..................................................................................... 129
Chapter
7.
The first ten thousand digits of
π
................................................... 133
Bibliography
.................................................................................................................................. 139
Index
................................................................................................................................................... 141
The Secrets of
ΊΤ
Why the circle can t be squared
You may remember it as
22
-f-
7,
or
3.14159....
but what is it?
Better known as
тг,
this number describes the relationship
between the diameter of a circle and its circumference. It is
a number that has fascinated mathematicians since the time
of the Ancient Greeks, and has aroused more controversy and
debate than any other number.
|
| any_adam_object | 1 |
| author | Navarro, Joaquín |
| author_facet | Navarro, Joaquín |
| author_role | aut |
| author_sort | Navarro, Joaquín |
| author_variant | j n jn |
| building | Verbundindex |
| bvnumber | BV040603428 |
| classification_rvk | SN 100 |
| ctrlnum | (OCoLC)823231272 (DE-599)BVBBV040603428 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T00:27:06Z |
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| language | English |
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| physical | 143 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | RBA |
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| series2 | Everything is mathematical |
| spelling | Navarro, Joaquín Verfasser aut The secrets of Pi [Joaquín Navarro, text] London RBA 2012 143 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Everything is mathematical Pi Zahl (DE-588)4174646-6 gnd rswk-swf Pi Zahl (DE-588)4174646-6 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025431139&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025431139&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Navarro, Joaquín The secrets of Pi Pi Zahl (DE-588)4174646-6 gnd |
| subject_GND | (DE-588)4174646-6 |
| title | The secrets of Pi |
| title_auth | The secrets of Pi |
| title_exact_search | The secrets of Pi |
| title_full | The secrets of Pi [Joaquín Navarro, text] |
| title_fullStr | The secrets of Pi [Joaquín Navarro, text] |
| title_full_unstemmed | The secrets of Pi [Joaquín Navarro, text] |
| title_short | The secrets of Pi |
| title_sort | the secrets of pi |
| topic | Pi Zahl (DE-588)4174646-6 gnd |
| topic_facet | Pi Zahl |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025431139&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025431139&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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