The mathematical tourist: snapshots of modern mathematics
In this revised, updated edition of Peterson's classic work, the author blazes a trail into math's wilderness, a domain of unsettled truths full of unanswered questions, and shows us the wonderland beyond the thicket. He presents the latest information on mathematical proofs, fractals, pri...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Freeman
1988
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | In this revised, updated edition of Peterson's classic work, the author blazes a trail into math's wilderness, a domain of unsettled truths full of unanswered questions, and shows us the wonderland beyond the thicket. He presents the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on such intriguing topics as the relationship between mathematical knots and DNA; the application of cellular automata models to social questions; and the significant increase in the speed of factoring large composite numbers by means of computers based on quantum logic. Demystifying the major discoveries in mathematics, Peterson explores the work of key mathematicians along with the sources of their ideas and inspiration. He also shows how their discoveries fit into the mathematical puzzle and have spawned further developments. More than 100 lively line drawings and sixteen color plates of computer-generated images graphically illuminate the concepts.--From publisher description. |
| Beschreibung: | XV, 240 S. Ill., graph. Darst. |
| ISBN: | 0716719533 0716720647 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV008788574 | ||
| 003 | DE-604 | ||
| 005 | 20120103 | ||
| 007 | t| | ||
| 008 | 931207s1988 xx ad|| |||| 00||| eng d | ||
| 020 | |a 0716719533 |9 0-7167-1953-3 | ||
| 020 | |a 0716720647 |9 0-7167-2064-7 | ||
| 035 | |a (OCoLC)263165690 | ||
| 035 | |a (DE-599)BVBBV008788574 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-824 |a DE-91G |a DE-188 | ||
| 050 | 0 | |a QA93 | |
| 082 | 0 | |a 510 |2 21 | |
| 084 | |a SN 100 |0 (DE-625)143330: |2 rvk | ||
| 084 | |a MAT 006f |2 stub | ||
| 100 | 1 | |a Peterson, Ivars |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The mathematical tourist |b snapshots of modern mathematics |c Ivars Peterson |
| 264 | 1 | |a New York |b Freeman |c 1988 | |
| 300 | |a XV, 240 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 520 | 3 | |a In this revised, updated edition of Peterson's classic work, the author blazes a trail into math's wilderness, a domain of unsettled truths full of unanswered questions, and shows us the wonderland beyond the thicket. He presents the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on such intriguing topics as the relationship between mathematical knots and DNA; the application of cellular automata models to social questions; and the significant increase in the speed of factoring large composite numbers by means of computers based on quantum logic. Demystifying the major discoveries in mathematics, Peterson explores the work of key mathematicians along with the sources of their ideas and inspiration. He also shows how their discoveries fit into the mathematical puzzle and have spawned further developments. More than 100 lively line drawings and sixteen color plates of computer-generated images graphically illuminate the concepts.--From publisher description. | |
| 650 | 4 | |a Mathématiques - Ouvrages de vulgarisation | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Mathematics |v Popular works | |
| 650 | 0 | 7 | |a Mathematisches Problem |0 (DE-588)4114530-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Unterhaltungsmathematik |0 (DE-588)4124357-2 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4144384-6 |a Beispielsammlung |2 gnd-content | |
| 689 | 0 | 0 | |a Unterhaltungsmathematik |0 (DE-588)4124357-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Mathematisches Problem |0 (DE-588)4114530-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 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=005811275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-005811275 | |
Datensatz im Suchindex
| _version_ | 1822490800293937152 |
|---|---|
| adam_text |
CONTENTS
Preface xiii
j. I efkthland
1
EXPLORATIONS 1
Maps of a Different Color 2
Logging On 4
Pure Power 9
V~cTouH r house £_
2
PRIME PURSUITS 15
Heads or Tails? 16
Prime Properties 20
Hunting for Big Primes 28
Breaking Up Is Hard to Do 33
Unpacking a Knapsack 38
CONTENTS
3
TWISTS OF SPACE 45
Fairy Tale Tents 46
Getting to the Surface 49
Bites in a Doughnut 55
Bubbling Away 61
Knotty Problems 70
4
SHADOWS FROM HIGHER DIMENSIONS 81
Flatland and Beyond 82
Shadows and Slices 85
A Global View 91
The Classification Game 98
Linear Gymnastics 107
CONTENTS
1—^%. )—i
5
ANTS IN LABYRINTHS 113
The Language of Nature 114
Taming Mathematical Monsters 116
Packing It In 123
Fractal Excursions 132
Sticky Stuff 138
6
THE DRAGONS OF CHAOS 143
Steps in Time 144
The Stranger Side of Squares 149
The Computer as Microscope 155
Zeroing in on Chaos 164
Sudden Bursts and Quick Escapes 170
CONTENTS
7
LIFE STORIES 175
The Game of Life 176
Going with the Flow 179
Forest Fires, Barnacles, and Trickling Oil 187
Matters of State 194
The Fivefold Way 200
c/L * IV^ eft ,.,, CVJ
8
IN ABSTRACT TERRAIN 213
Keeping Secrets 214
The Burden of Proof 217
Further Reading 221
Sources of Illustrations 225
Index 231 |
| any_adam_object | 1 |
| author | Peterson, Ivars |
| author_facet | Peterson, Ivars |
| author_role | aut |
| author_sort | Peterson, Ivars |
| author_variant | i p ip |
| building | Verbundindex |
| bvnumber | BV008788574 |
| callnumber-first | Q - Science |
| callnumber-label | QA93 |
| callnumber-raw | QA93 |
| callnumber-search | QA93 |
| callnumber-sort | QA 293 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SN 100 |
| classification_tum | MAT 006f |
| ctrlnum | (OCoLC)263165690 (DE-599)BVBBV008788574 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV008788574</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120103</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">931207s1988 xx ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0716719533</subfield><subfield code="9">0-7167-1953-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0716720647</subfield><subfield code="9">0-7167-2064-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)263165690</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008788574</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-824</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA93</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">21</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="084" ind1=" " ind2=" "><subfield code="a">MAT 006f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Peterson, Ivars</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The mathematical tourist</subfield><subfield code="b">snapshots of modern mathematics</subfield><subfield code="c">Ivars Peterson</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York</subfield><subfield code="b">Freeman</subfield><subfield code="c">1988</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 240 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="520" ind1="3" ind2=" "><subfield code="a">In this revised, updated edition of Peterson's classic work, the author blazes a trail into math's wilderness, a domain of unsettled truths full of unanswered questions, and shows us the wonderland beyond the thicket. He presents the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on such intriguing topics as the relationship between mathematical knots and DNA; the application of cellular automata models to social questions; and the significant increase in the speed of factoring large composite numbers by means of computers based on quantum logic. Demystifying the major discoveries in mathematics, Peterson explores the work of key mathematicians along with the sources of their ideas and inspiration. He also shows how their discoveries fit into the mathematical puzzle and have spawned further developments. More than 100 lively line drawings and sixteen color plates of computer-generated images graphically illuminate the concepts.--From publisher description.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathématiques - Ouvrages de vulgarisation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield><subfield code="v">Popular works</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Problem</subfield><subfield code="0">(DE-588)4114530-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Unterhaltungsmathematik</subfield><subfield code="0">(DE-588)4124357-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4144384-6</subfield><subfield code="a">Beispielsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Unterhaltungsmathematik</subfield><subfield code="0">(DE-588)4124357-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Mathematisches Problem</subfield><subfield code="0">(DE-588)4114530-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</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=005811275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-005811275</subfield></datafield></record></collection> |
| genre | (DE-588)4144384-6 Beispielsammlung gnd-content |
| genre_facet | Beispielsammlung |
| id | DE-604.BV008788574 |
| illustrated | Illustrated |
| indexdate | 2025-01-28T11:11:08Z |
| institution | BVB |
| isbn | 0716719533 0716720647 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005811275 |
| oclc_num | 263165690 |
| open_access_boolean | |
| owner | DE-824 DE-91G DE-BY-TUM DE-188 |
| owner_facet | DE-824 DE-91G DE-BY-TUM DE-188 |
| physical | XV, 240 S. Ill., graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Freeman |
| record_format | marc |
| spelling | Peterson, Ivars Verfasser aut The mathematical tourist snapshots of modern mathematics Ivars Peterson New York Freeman 1988 XV, 240 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier In this revised, updated edition of Peterson's classic work, the author blazes a trail into math's wilderness, a domain of unsettled truths full of unanswered questions, and shows us the wonderland beyond the thicket. He presents the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on such intriguing topics as the relationship between mathematical knots and DNA; the application of cellular automata models to social questions; and the significant increase in the speed of factoring large composite numbers by means of computers based on quantum logic. Demystifying the major discoveries in mathematics, Peterson explores the work of key mathematicians along with the sources of their ideas and inspiration. He also shows how their discoveries fit into the mathematical puzzle and have spawned further developments. More than 100 lively line drawings and sixteen color plates of computer-generated images graphically illuminate the concepts.--From publisher description. Mathématiques - Ouvrages de vulgarisation Mathematik Mathematics Mathematics Popular works Mathematisches Problem (DE-588)4114530-6 gnd rswk-swf Unterhaltungsmathematik (DE-588)4124357-2 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Unterhaltungsmathematik (DE-588)4124357-2 s DE-604 Mathematisches Problem (DE-588)4114530-6 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005811275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Peterson, Ivars The mathematical tourist snapshots of modern mathematics Mathématiques - Ouvrages de vulgarisation Mathematik Mathematics Mathematics Popular works Mathematisches Problem (DE-588)4114530-6 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| subject_GND | (DE-588)4114530-6 (DE-588)4124357-2 (DE-588)4144384-6 |
| title | The mathematical tourist snapshots of modern mathematics |
| title_auth | The mathematical tourist snapshots of modern mathematics |
| title_exact_search | The mathematical tourist snapshots of modern mathematics |
| title_full | The mathematical tourist snapshots of modern mathematics Ivars Peterson |
| title_fullStr | The mathematical tourist snapshots of modern mathematics Ivars Peterson |
| title_full_unstemmed | The mathematical tourist snapshots of modern mathematics Ivars Peterson |
| title_short | The mathematical tourist |
| title_sort | the mathematical tourist snapshots of modern mathematics |
| title_sub | snapshots of modern mathematics |
| topic | Mathématiques - Ouvrages de vulgarisation Mathematik Mathematics Mathematics Popular works Mathematisches Problem (DE-588)4114530-6 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| topic_facet | Mathématiques - Ouvrages de vulgarisation Mathematik Mathematics Mathematics Popular works Mathematisches Problem Unterhaltungsmathematik Beispielsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005811275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT petersonivars themathematicaltouristsnapshotsofmodernmathematics |