Mathematics: queen and servant of science
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Washington, DC
Mathemat. Assoc. of America
1987
|
| Ausgabe: | Republ. |
| Schriftenreihe: | MAA spectrum
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXIV, 437 S. Ill., graph. Darst. |
| ISBN: | 0883854473 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV003555182 | ||
| 003 | DE-604 | ||
| 005 | 20010517 | ||
| 007 | t | ||
| 008 | 900725s1987 ad|| |||| 00||| eng d | ||
| 020 | |a 0883854473 |9 0-88385-447-3 | ||
| 035 | |a (OCoLC)440611803 | ||
| 035 | |a (DE-599)BVBBV003555182 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-210 | ||
| 080 | |a 51 | ||
| 084 | |a SN 100 |0 (DE-625)143330: |2 rvk | ||
| 100 | 1 | |a Bell, Eric Temple |d 1883-1960 |e Verfasser |0 (DE-588)119235218 |4 aut | |
| 245 | 1 | 0 | |a Mathematics |b queen and servant of science |c by E. T. Bell |
| 250 | |a Republ. | ||
| 264 | 1 | |a Washington, DC |b Mathemat. Assoc. of America |c 1987 | |
| 300 | |a XXIV, 437 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a MAA spectrum | |
| 650 | 4 | |a matematika | |
| 650 | 4 | |a mathematics | |
| 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=002260773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002260773 | ||
Datensatz im Suchindex
| _version_ | 1804117904345530368 |
|---|---|
| adam_text | Contents
To the Reader v
List of Names xiii
Chapter 1 POINTS OF VIEW /
1.1 The object of mathematics 1.4 The spirit of modern mathe
1.2 A golden age matics
l.S Abel s advice
Chapter 2 MATHEMATICAL TRUTH 17
2.1 Descriptions of mathematics | 2.2 The postulational method
Chapter 3 BREAKING BOUNDS 29
3.1 Common algebra 3.3 Sources of postulates
3.2 Changing the rules
Chapter 4 THE SAME, YET NOT THE SAME 45
4.1 Realizations of common al continuous, complex, analy
gebra sis, function
4.2 Rational, real, denumerable, 4.S The end of a road
non denumerable, discrete,
Chapter 5 THE ART OF ABSTRACTION 55
5.1 A change of interest 5.5 Lattices or structures
5.2 An uncommon algebra 5.6 Subrings, ideals
5.3 Rings 5.7 Subfields, extensions
5.4 Homorphism, isomorphism, 5.8 Skew fields, linear algebras
automorphism
Chapter 6 OAKS FROM ACORNS 94
6.1 Transformations 6.4 A suggestion to the United
6.2 A problem in geometry, Nations
variables again 6.5 Invariance in nature
6.3 Matrices 6.6 Sylvester s prevision
xiii
xiv CONTENTS
Chapter 7 PICTORIAL THINKING 121
7.1 Graphs 7.4 Three suggestions
7.2 What Descartes invented 7.5 Intuition into algebra
7.3 Unnecessary difficulties 7.6 Algebra into geometry
Chapter 8 LANDMARKS OLD AND NEW 141
8.1 What is geometry? 8.6 Connectedness
8.3 Further progress 8.7 Knots
8.S Space of many dimensions 8.8 One kind of topology
8.4 Duality 8.9 Abstraction again
8.5 Non metric versus metric
Chapter 9 GROUPS 1U
9.1 Multiplication tables 9.5 Interpretations
9.2 Isomorphism, homorphism 9.6 Infinite groups
9.3 Complexes, cosets, normal 9.7 The icosahedron
subgroups 9.8 Galois theory
9.4 Substitution groups
Chapter 10 A METRICAL UNIVERSE 188
10.1 From Pythagoras to Des 10.2 From Descartes to Rie
cartes mann
10.3 From Riemann to Einstein
Chapter 11 THE QUEEN OF MATHEMATICS 220
11.1 An unruly domain 11.5 Algebraic numbers
11.2 Fermat and Mersenne num 11.6 Transcendental numbers
hers 11.7 Waring s conjecture
11.3 A little about primes 11.8 The Queen of queens
11.4 Diophantine analysis slaves
Chapter 12 ABSTRACTION AND PREDICTION 252
12.1 From Maxwell to radar 12.3 One sort of explanation
12.2 Two methods
Chapter IS FROM CYZICUS TO NEPTUNE 272
13.1 A royal road 13.4 Mathematical prophecy
13.2 Kepler s faith again
18.3 Calculation plus insight
CONTENTS xv
Chapter U TWO KINDS OF PICTURE 297
14.1 Continuity in science 14.5 Nature in the small
14.2 Discreteness in science 14.6 The scientist intervenes
14.3 Eternal flux 14.7 Integration
14.4 Ancient philosophers and 14.8 Boundary value problems
modern pedants
Chapter 15 THE CHIEF INSTRUMENT OF 320
APPLIED MATHEMATICS
15.1 Rates 15.5 Fluid flow
15.2 Higher derivatives 15.6 Integrals
15.3 Partial derivatives 15.7 The fundamental theorem
15.4 Differential equations of the calculus
Chapter 16 FURTHER CALCULUSES 342
16.1 Greatest or least 16.5 The complex variable
16.2 Least action 16.6 Conformal mapping
16.3 The calculus of variations 16.7 Special functions
16.4 Hamilton s prediction 16.8 Generalizations
Chapter 17 WAVES AND VIBRATIONS 357
17.1 Periodicity 17.3 Fourier s theorem
17.2 The alphabet of periodicity 17.4 From particles to fields
Chapter 18 CHOICE AND CHANCE 374.
18.1 Probability 18.3 Statistics and mechanics
18.2 Pies, flies, and concrete 18.4 Is probability probable?
Chapter 19 STORMING THE HEAVENS 393
19.1 Toward the infinite 19.3 Counting the infinite
19.2 How the infinite entered 19.4 What is a number?
mathematics 19.5 Dedekind s cut
Chapter 20 BEDROCK 407
20.1 Mathematical existence 20.3 From Hilbert to GSdel
20.2 A great illusion 20.4 To our successors
Index U7
|
| any_adam_object | 1 |
| author | Bell, Eric Temple 1883-1960 |
| author_GND | (DE-588)119235218 |
| author_facet | Bell, Eric Temple 1883-1960 |
| author_role | aut |
| author_sort | Bell, Eric Temple 1883-1960 |
| author_variant | e t b et etb |
| building | Verbundindex |
| bvnumber | BV003555182 |
| classification_rvk | SN 100 |
| ctrlnum | (OCoLC)440611803 (DE-599)BVBBV003555182 |
| discipline | Mathematik |
| edition | Republ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01196nam a2200337 c 4500</leader><controlfield tag="001">BV003555182</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20010517 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1987 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0883854473</subfield><subfield code="9">0-88385-447-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)440611803</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003555182</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-210</subfield></datafield><datafield tag="080" ind1=" " ind2=" "><subfield code="a">51</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SN 100</subfield><subfield code="0">(DE-625)143330:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bell, Eric Temple</subfield><subfield code="d">1883-1960</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119235218</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematics</subfield><subfield code="b">queen and servant of science</subfield><subfield code="c">by E. T. Bell</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Republ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Washington, DC</subfield><subfield code="b">Mathemat. Assoc. of America</subfield><subfield code="c">1987</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXIV, 437 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">MAA spectrum</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">matematika</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">mathematics</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002260773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002260773</subfield></datafield></record></collection> |
| id | DE-604.BV003555182 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:01:49Z |
| institution | BVB |
| isbn | 0883854473 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002260773 |
| oclc_num | 440611803 |
| open_access_boolean | |
| owner | DE-384 DE-210 |
| owner_facet | DE-384 DE-210 |
| physical | XXIV, 437 S. Ill., graph. Darst. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Mathemat. Assoc. of America |
| record_format | marc |
| series2 | MAA spectrum |
| spelling | Bell, Eric Temple 1883-1960 Verfasser (DE-588)119235218 aut Mathematics queen and servant of science by E. T. Bell Republ. Washington, DC Mathemat. Assoc. of America 1987 XXIV, 437 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier MAA spectrum matematika mathematics HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002260773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bell, Eric Temple 1883-1960 Mathematics queen and servant of science matematika mathematics |
| title | Mathematics queen and servant of science |
| title_auth | Mathematics queen and servant of science |
| title_exact_search | Mathematics queen and servant of science |
| title_full | Mathematics queen and servant of science by E. T. Bell |
| title_fullStr | Mathematics queen and servant of science by E. T. Bell |
| title_full_unstemmed | Mathematics queen and servant of science by E. T. Bell |
| title_short | Mathematics |
| title_sort | mathematics queen and servant of science |
| title_sub | queen and servant of science |
| topic | matematika mathematics |
| topic_facet | matematika mathematics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002260773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bellerictemple mathematicsqueenandservantofscience |