The mathematics of infinity: a guide to great ideas
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, N.J.
Wiley
2012
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Pure and applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | FRO01 TUM01 Volltext |
| Beschreibung: | "Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. Readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth mathematical rigor. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun your intuitive view of the world. Infinity, we are told, is as large as things get. This is not entirely true. This book does not refer to infinities, but rather to cardinals. This is to emphasize the point that what you thought you knew about infinity is probably incorrect or imprecise. Since the reader is assumed to be educated in mathematics, but not necessarily mathematically trained, an attempt has been made to convince the reader of the truth of a matter without resorting to the type of rigor found in professional journals. Therefore, the author has accompanied the proofs with illustrative examples. The examples are often a part of a larger proof. Important facts are included and their proofs have been excluded if the author has determined that the proof is beyond the scope of the discussion. For example, it is assumed and not proven within the book that a collection of cardinals is larger than any set or mathematical object. The topics covered within the book cannot be found within any other one book on infinity, and the work succeeds in being the only book on infinite cardinals for the high school educated person. Topical coverage includes: logic and sets; functions; counting infinite sets; infinite cardinals; well Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (xv, 338 p.) |
| ISBN: | 9781118243879 |
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| 245 | 1 | 0 | |a The mathematics of infinity |b a guide to great ideas |c Theodore G. Faticoni |
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| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Cardinal numbers | |
| 650 | 4 | |a Set theory | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Faticoni, Theodore G. 1954- |
| author_GND | (DE-588)172567610 |
| author_facet | Faticoni, Theodore G. 1954- |
| author_role | aut |
| author_sort | Faticoni, Theodore G. 1954- |
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| bvnumber | BV041390938 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 150 |
| classification_tum | MAT 030f MAT 040f |
| collection | ZDB-35-WIC |
| ctrlnum | (OCoLC)1039156587 (DE-599)BVBBV041390938 |
| dewey-full | 511.3/22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/22 |
| dewey-search | 511.3/22 |
| dewey-sort | 3511.3 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Electronic eBook |
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| id | DE-604.BV041390938 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:55:39Z |
| institution | BVB |
| isbn | 9781118243879 |
| language | English |
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| series2 | Pure and applied mathematics |
| spelling | Faticoni, Theodore G. 1954- Verfasser (DE-588)172567610 aut The mathematics of infinity a guide to great ideas Theodore G. Faticoni 2. ed. Hoboken, N.J. Wiley 2012 1 Online-Ressource (xv, 338 p.) txt rdacontent c rdamedia cr rdacarrier Pure and applied mathematics "Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. Readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth mathematical rigor. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun your intuitive view of the world. Infinity, we are told, is as large as things get. This is not entirely true. This book does not refer to infinities, but rather to cardinals. This is to emphasize the point that what you thought you knew about infinity is probably incorrect or imprecise. Since the reader is assumed to be educated in mathematics, but not necessarily mathematically trained, an attempt has been made to convince the reader of the truth of a matter without resorting to the type of rigor found in professional journals. Therefore, the author has accompanied the proofs with illustrative examples. The examples are often a part of a larger proof. Important facts are included and their proofs have been excluded if the author has determined that the proof is beyond the scope of the discussion. For example, it is assumed and not proven within the book that a collection of cardinals is larger than any set or mathematical object. The topics covered within the book cannot be found within any other one book on infinity, and the work succeeds in being the only book on infinite cardinals for the high school educated person. Topical coverage includes: logic and sets; functions; counting infinite sets; infinite cardinals; well Includes bibliographical references and index Cardinal numbers Set theory Infinite MATHEMATICS / Infinity bisacsh Kardinalzahl (DE-588)4163318-0 gnd rswk-swf Mengenlehre (DE-588)4074715-3 gnd rswk-swf Unendlichkeit (DE-588)4136067-9 gnd rswk-swf Mengenlehre (DE-588)4074715-3 s Unendlichkeit (DE-588)4136067-9 s Kardinalzahl (DE-588)4163318-0 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-11-820448-1 https://onlinelibrary.wiley.com/doi/book/10.1002/9781118243879 Volltext |
| spellingShingle | Faticoni, Theodore G. 1954- The mathematics of infinity a guide to great ideas Cardinal numbers Set theory Infinite MATHEMATICS / Infinity bisacsh Kardinalzahl (DE-588)4163318-0 gnd Mengenlehre (DE-588)4074715-3 gnd Unendlichkeit (DE-588)4136067-9 gnd |
| subject_GND | (DE-588)4163318-0 (DE-588)4074715-3 (DE-588)4136067-9 |
| title | The mathematics of infinity a guide to great ideas |
| title_auth | The mathematics of infinity a guide to great ideas |
| title_exact_search | The mathematics of infinity a guide to great ideas |
| title_full | The mathematics of infinity a guide to great ideas Theodore G. Faticoni |
| title_fullStr | The mathematics of infinity a guide to great ideas Theodore G. Faticoni |
| title_full_unstemmed | The mathematics of infinity a guide to great ideas Theodore G. Faticoni |
| title_short | The mathematics of infinity |
| title_sort | the mathematics of infinity a guide to great ideas |
| title_sub | a guide to great ideas |
| topic | Cardinal numbers Set theory Infinite MATHEMATICS / Infinity bisacsh Kardinalzahl (DE-588)4163318-0 gnd Mengenlehre (DE-588)4074715-3 gnd Unendlichkeit (DE-588)4136067-9 gnd |
| topic_facet | Cardinal numbers Set theory Infinite MATHEMATICS / Infinity Kardinalzahl Mengenlehre Unendlichkeit |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781118243879 |
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