Irrationality and transcendence in number theory:
"Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbe...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton ; London ; New York
CRC Press
2022
|
| Ausgabe: | First edition |
| Schlagworte: | |
| Zusammenfassung: | "Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material. Features: Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation. Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates. Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background"-- |
| Beschreibung: | xvii, 224 Seiten Illustrationen |
| ISBN: | 9780367628376 9780367628758 |
Internformat
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| 250 | |a First edition | ||
| 264 | 1 | |a Boca Raton ; London ; New York |b CRC Press |c 2022 | |
| 300 | |a xvii, 224 Seiten |b Illustrationen | ||
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| 520 | 3 | |a "Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material. Features: Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation. Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates. Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background"-- | |
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| 776 | 0 | 8 | |i Erscheint auch als |a Angell, David |t Irrationality and transcendence in number theory |d Boca Raton : Chapman & Hall, CRC Press, 2021 |n Online-Ausgabe |z 978-1-003-11120-7 |
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Datensatz im Suchindex
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| dewey-full | 512.7/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-raw | 512.7/3 |
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| dewey-sort | 3512.7 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | First edition |
| format | Book |
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| id | DE-604.BV047883571 |
| illustrated | Illustrated |
| index_date | 2024-07-03T19:23:42Z |
| indexdate | 2024-07-10T09:24:10Z |
| institution | BVB |
| isbn | 9780367628376 9780367628758 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033265845 |
| oclc_num | 1295592051 |
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| owner_facet | DE-91G DE-BY-TUM DE-706 |
| physical | xvii, 224 Seiten Illustrationen |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Angell, David Verfasser (DE-588)1299778569 aut Irrationality and transcendence in number theory David Angell (University of New South Wales, Australia) First edition Boca Raton ; London ; New York CRC Press 2022 xvii, 224 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier "Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material. Features: Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation. Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates. Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background"-- Irrationale Zahl (DE-588)4162426-9 gnd rswk-swf Transzendente Zahl (DE-588)4225034-1 gnd rswk-swf Irrational numbers Transcendental numbers Number theory Irrationale Zahl (DE-588)4162426-9 s Transzendente Zahl (DE-588)4225034-1 s DE-604 Erscheint auch als Angell, David Irrationality and transcendence in number theory Boca Raton : Chapman & Hall, CRC Press, 2021 Online-Ausgabe 978-1-003-11120-7 |
| spellingShingle | Angell, David Irrationality and transcendence in number theory Irrationale Zahl (DE-588)4162426-9 gnd Transzendente Zahl (DE-588)4225034-1 gnd |
| subject_GND | (DE-588)4162426-9 (DE-588)4225034-1 |
| title | Irrationality and transcendence in number theory |
| title_auth | Irrationality and transcendence in number theory |
| title_exact_search | Irrationality and transcendence in number theory |
| title_exact_search_txtP | Irrationality and transcendence in number theory |
| title_full | Irrationality and transcendence in number theory David Angell (University of New South Wales, Australia) |
| title_fullStr | Irrationality and transcendence in number theory David Angell (University of New South Wales, Australia) |
| title_full_unstemmed | Irrationality and transcendence in number theory David Angell (University of New South Wales, Australia) |
| title_short | Irrationality and transcendence in number theory |
| title_sort | irrationality and transcendence in number theory |
| topic | Irrationale Zahl (DE-588)4162426-9 gnd Transzendente Zahl (DE-588)4225034-1 gnd |
| topic_facet | Irrationale Zahl Transzendente Zahl |
| work_keys_str_mv | AT angelldavid irrationalityandtranscendenceinnumbertheory |