In Search of Infinity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1995
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of it foundations. The author of this book presents a popular-level account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In doing so, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world. "When I read the first edition of the book, about 20 years ago, I was carried away by Vilenkin’s storytelling and his ability to bring subtle mathematical ideas down to earth. He stretches our imagination and educates our intuition…The second edition improves on the first by omission of some routine material about finite properties of sets, and increased attention to infinity. There is a wealth of new material on the position of infinity in human thought, from philosophy to physics, and also on its role in the history of mathematics. In particular, there are now biographical notes on over 100 mathematicians. Abe Shenitzer’s elegant translation makes this a rare work of literature---a serious mathematical book that will be read from over to cover." ---John Stillwell, Monash University, Australia |
| Beschreibung: | 1 Online-Ressource (VI, 146 p) |
| ISBN: | 9781461208372 9781461269151 |
| DOI: | 10.1007/978-1-4612-0837-2 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042419641 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1995 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461208372 |c Online |9 978-1-4612-0837-2 | ||
| 020 | |a 9781461269151 |c Print |9 978-1-4612-6915-1 | ||
| 024 | 7 | |a 10.1007/978-1-4612-0837-2 |2 doi | |
| 035 | |a (OCoLC)879621507 | ||
| 035 | |a (DE-599)BVBBV042419641 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 511.3 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Vilenkin, N. Ya |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a In Search of Infinity |c by N. Ya. Vilenkin |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 1995 | |
| 300 | |a 1 Online-Ressource (VI, 146 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of it foundations. The author of this book presents a popular-level account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In doing so, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world. "When I read the first edition of the book, about 20 years ago, I was carried away by Vilenkin’s storytelling and his ability to bring subtle mathematical ideas down to earth. He stretches our imagination and educates our intuition…The second edition improves on the first by omission of some routine material about finite properties of sets, and increased attention to infinity. There is a wealth of new material on the position of infinity in human thought, from philosophy to physics, and also on its role in the history of mathematics. In particular, there are now biographical notes on over 100 mathematicians. Abe Shenitzer’s elegant translation makes this a rare work of literature---a serious mathematical book that will be read from over to cover." ---John Stillwell, Monash University, Australia | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Logic, Symbolic and mathematical | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Astronomy | |
| 650 | 4 | |a Mathematical Logic and Foundations | |
| 650 | 4 | |a Order, Lattices, Ordered Algebraic Structures | |
| 650 | 4 | |a Mathematical Methods in Physics | |
| 650 | 4 | |a Astronomy, Astrophysics and Cosmology | |
| 650 | 4 | |a Mathematics, general | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Unendlichkeit |0 (DE-588)4136067-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Physik |0 (DE-588)4045956-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Unendlichkeit |0 (DE-588)4136067-9 |D s |
| 689 | 0 | 1 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Unendlichkeit |0 (DE-588)4136067-9 |D s |
| 689 | 1 | 1 | |a Physik |0 (DE-588)4045956-1 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-0837-2 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027855058 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153090526412800 |
|---|---|
| any_adam_object | |
| author | Vilenkin, N. Ya |
| author_facet | Vilenkin, N. Ya |
| author_role | aut |
| author_sort | Vilenkin, N. Ya |
| author_variant | n y v ny nyv |
| building | Verbundindex |
| bvnumber | BV042419641 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879621507 (DE-599)BVBBV042419641 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0837-2 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03682nmm a2200637zc 4500</leader><controlfield tag="001">BV042419641</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1995 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461208372</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-0837-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461269151</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-6915-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-0837-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)879621507</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419641</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</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-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Vilenkin, N. Ya</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">In Search of Infinity</subfield><subfield code="c">by N. Ya. Vilenkin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VI, 146 p)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of it foundations. The author of this book presents a popular-level account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In doing so, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world. "When I read the first edition of the book, about 20 years ago, I was carried away by Vilenkin’s storytelling and his ability to bring subtle mathematical ideas down to earth. He stretches our imagination and educates our intuition…The second edition improves on the first by omission of some routine material about finite properties of sets, and increased attention to infinity. There is a wealth of new material on the position of infinity in human thought, from philosophy to physics, and also on its role in the history of mathematics. In particular, there are now biographical notes on over 100 mathematicians. Abe Shenitzer’s elegant translation makes this a rare work of literature---a serious mathematical book that will be read from over to cover." ---John Stillwell, Monash University, Australia</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Logic, Symbolic and mathematical</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Astronomy</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Logic and Foundations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Order, Lattices, Ordered Algebraic Structures</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Methods in Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Astronomy, Astrophysics and Cosmology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics, general</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applications of Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Unendlichkeit</subfield><subfield code="0">(DE-588)4136067-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Physik</subfield><subfield code="0">(DE-588)4045956-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Unendlichkeit</subfield><subfield code="0">(DE-588)4136067-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Unendlichkeit</subfield><subfield code="0">(DE-588)4136067-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Physik</subfield><subfield code="0">(DE-588)4045956-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-0837-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855058</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042419641 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461208372 9781461269151 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855058 |
| oclc_num | 879621507 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (VI, 146 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| spelling | Vilenkin, N. Ya Verfasser aut In Search of Infinity by N. Ya. Vilenkin Boston, MA Birkhäuser Boston 1995 1 Online-Ressource (VI, 146 p) txt rdacontent c rdamedia cr rdacarrier The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of it foundations. The author of this book presents a popular-level account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In doing so, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world. "When I read the first edition of the book, about 20 years ago, I was carried away by Vilenkin’s storytelling and his ability to bring subtle mathematical ideas down to earth. He stretches our imagination and educates our intuition…The second edition improves on the first by omission of some routine material about finite properties of sets, and increased attention to infinity. There is a wealth of new material on the position of infinity in human thought, from philosophy to physics, and also on its role in the history of mathematics. In particular, there are now biographical notes on over 100 mathematicians. Abe Shenitzer’s elegant translation makes this a rare work of literature---a serious mathematical book that will be read from over to cover." ---John Stillwell, Monash University, Australia Mathematics Algebra Logic, Symbolic and mathematical Mathematical physics Astronomy Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Mathematical Methods in Physics Astronomy, Astrophysics and Cosmology Mathematics, general Applications of Mathematics Mathematik Mathematische Physik Mathematik (DE-588)4037944-9 gnd rswk-swf Unendlichkeit (DE-588)4136067-9 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Unendlichkeit (DE-588)4136067-9 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Physik (DE-588)4045956-1 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-0837-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vilenkin, N. Ya In Search of Infinity Mathematics Algebra Logic, Symbolic and mathematical Mathematical physics Astronomy Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Mathematical Methods in Physics Astronomy, Astrophysics and Cosmology Mathematics, general Applications of Mathematics Mathematik Mathematische Physik Mathematik (DE-588)4037944-9 gnd Unendlichkeit (DE-588)4136067-9 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4136067-9 (DE-588)4045956-1 |
| title | In Search of Infinity |
| title_auth | In Search of Infinity |
| title_exact_search | In Search of Infinity |
| title_full | In Search of Infinity by N. Ya. Vilenkin |
| title_fullStr | In Search of Infinity by N. Ya. Vilenkin |
| title_full_unstemmed | In Search of Infinity by N. Ya. Vilenkin |
| title_short | In Search of Infinity |
| title_sort | in search of infinity |
| topic | Mathematics Algebra Logic, Symbolic and mathematical Mathematical physics Astronomy Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Mathematical Methods in Physics Astronomy, Astrophysics and Cosmology Mathematics, general Applications of Mathematics Mathematik Mathematische Physik Mathematik (DE-588)4037944-9 gnd Unendlichkeit (DE-588)4136067-9 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Mathematics Algebra Logic, Symbolic and mathematical Mathematical physics Astronomy Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Mathematical Methods in Physics Astronomy, Astrophysics and Cosmology Mathematics, general Applications of Mathematics Mathematik Mathematische Physik Unendlichkeit Physik |
| url | https://doi.org/10.1007/978-1-4612-0837-2 |
| work_keys_str_mv | AT vilenkinnya insearchofinfinity |