Elements of Algebra: Geometry, Numbers, Equations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1994
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart |
| Beschreibung: | 1 Online-Ressource (XII, 184 p) |
| ISBN: | 9781475739763 9781441928399 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-3976-3 |
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Datensatz im Suchindex
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| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3976-3 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9781475739763 9781441928399 |
| issn | 0172-6056 |
| language | English |
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| spelling | Stillwell, John Verfasser aut Elements of Algebra Geometry, Numbers, Equations by John Stillwell New York, NY Springer New York 1994 1 Online-Ressource (XII, 184 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart Mathematics Algebra Geometry Number theory Number Theory Mathematik Algebra (DE-588)4001156-2 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Algebra (DE-588)4001156-2 s Geometrie (DE-588)4020236-7 s 1\p DE-604 Universelle Algebra (DE-588)4061777-4 s 2\p DE-604 https://doi.org/10.1007/978-1-4757-3976-3 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 | Stillwell, John Elements of Algebra Geometry, Numbers, Equations Mathematics Algebra Geometry Number theory Number Theory Mathematik Algebra (DE-588)4001156-2 gnd Universelle Algebra (DE-588)4061777-4 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4061777-4 (DE-588)4020236-7 |
| title | Elements of Algebra Geometry, Numbers, Equations |
| title_auth | Elements of Algebra Geometry, Numbers, Equations |
| title_exact_search | Elements of Algebra Geometry, Numbers, Equations |
| title_full | Elements of Algebra Geometry, Numbers, Equations by John Stillwell |
| title_fullStr | Elements of Algebra Geometry, Numbers, Equations by John Stillwell |
| title_full_unstemmed | Elements of Algebra Geometry, Numbers, Equations by John Stillwell |
| title_short | Elements of Algebra |
| title_sort | elements of algebra geometry numbers equations |
| title_sub | Geometry, Numbers, Equations |
| topic | Mathematics Algebra Geometry Number theory Number Theory Mathematik Algebra (DE-588)4001156-2 gnd Universelle Algebra (DE-588)4061777-4 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Mathematics Algebra Geometry Number theory Number Theory Mathematik Universelle Algebra Geometrie |
| url | https://doi.org/10.1007/978-1-4757-3976-3 |
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