Elements of algebra: geometry, numbers, equations
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Springer
1994
|
| Series: | Undergraduate texts in mathematics
|
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006417413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Abstract: | This book is a concise, self-contained introduction to abstract algebra that stresses its unifying role in geometry and number theory. Classical results in these fields, such as the straightedge-and-compass constructions and their relation to Fermat primes, are used to motivate and illustrate algebraic techniques. Classical algebra itself is used to motivate the problem of solvability by radicals and its solution via Galois theory. This historical approach has at least two advantages: On the one hand it shows that abstract concepts have concrete roots, and on the other it demonstrates the power of new concepts to solve old problems. Algebra has a pedigree stretching back at least as far as Euclid, but today its connections with other parts of mathematics are often neglected or forgotten. By developing algebra out of classical number theory and geometry and reviving these connections, the author has made this book useful to beginners and experts alike. The lively style and clear exposition make it a pleasure to read and to learn from. |
| Physical Description: | XI, 181 S. graph. Darst. |
| ISBN: | 3540942904 0387942904 |
Staff View
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| 300 | |a XI, 181 S. |b graph. Darst. | ||
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| 490 | 0 | |a Undergraduate texts in mathematics | |
| 520 | 3 | |a This book is a concise, self-contained introduction to abstract algebra that stresses its unifying role in geometry and number theory. Classical results in these fields, such as the straightedge-and-compass constructions and their relation to Fermat primes, are used to motivate and illustrate algebraic techniques. Classical algebra itself is used to motivate the problem of solvability by radicals and its solution via Galois theory. This historical approach has at least two advantages: On the one hand it shows that abstract concepts have concrete roots, and on the other it demonstrates the power of new concepts to solve old problems. Algebra has a pedigree stretching back at least as far as Euclid, but today its connections with other parts of mathematics are often neglected or forgotten. By developing algebra out of classical number theory and geometry and reviving these connections, the author has made this book useful to beginners and experts alike. The lively style and clear exposition make it a pleasure to read and to learn from. | |
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| author | Stillwell, John 1942- |
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| id | DE-604.BV009701210 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T09:40:49Z |
| institution | BVB |
| isbn | 3540942904 0387942904 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006417413 |
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| physical | XI, 181 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| spellingShingle | Stillwell, John 1942- Elements of algebra geometry, numbers, equations Algèbre ram Algebra Universelle Algebra (DE-588)4061777-4 gnd Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4061777-4 (DE-588)4001156-2 (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 John Stillwell |
| title_fullStr | Elements of algebra geometry, numbers, equations John Stillwell |
| title_full_unstemmed | Elements of algebra geometry, numbers, equations John Stillwell |
| title_short | Elements of algebra |
| title_sort | elements of algebra geometry numbers equations |
| title_sub | geometry, numbers, equations |
| topic | Algèbre ram Algebra Universelle Algebra (DE-588)4061777-4 gnd Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Algèbre Algebra Universelle Algebra Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006417413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT stillwelljohn elementsofalgebrageometrynumbersequations |
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