Essays in constructive mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Springer
2005
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIX, 211 S. Ill. |
| ISBN: | 0387219781 |
Staff View
MARC
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| 245 | 1 | 0 | |a Essays in constructive mathematics |c Harold M. Edwards |
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Record in the Search Index
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| adam_text | This book aims to promote constructive mathematics, not by defining it or for¬
malizing it, but by practicing it, by basing all definitions and proofs on finite
algorithms.
♦
The topics covered derive from classic works of nineteenth-century mathematics,
among them Galois s theory of algebraic equations, Gauss s theory of binary qua¬
dratic forms, and Abel s theorem about integrals of rational differentials on alge¬
braic curves. It is not surprising that the first two topics can be treated construc¬
tively
them
to call for infinite processes. In this case, too, however, finite algorithms suffice to
define the genus of an algebraic curve, to prove that birationally equivalent curves
have the same genus, and to prove the Riemann-Roch theorem. The main algorithm
in this case is Newton s polygon, which is given a full treatment. Other topics cov¬
ered include the fundamental theorem of algebra, the factorization of polynomials
over an algebraic number field, and the spectral theorem for symmetric matrices.
Contents
Preface
Synopsis....................................................... xiii
1
1.1 General
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2
2.1
2.2
2.3
2.4
2.5
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
5
5.1
5.2
5.3
5.4
5.5 Kronecker
References
Index
|
| any_adam_object | 1 |
| author | Edwards, Harold M. 1936-2020 |
| author_GND | (DE-588)117709700 |
| author_facet | Edwards, Harold M. 1936-2020 |
| author_role | aut |
| author_sort | Edwards, Harold M. 1936-2020 |
| author_variant | h m e hm hme |
| building | Verbundindex |
| bvnumber | BV019863137 |
| callnumber-first | Q - Science |
| callnumber-label | QA9 |
| callnumber-raw | QA9.56 |
| callnumber-search | QA9.56 |
| callnumber-sort | QA 19.56 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | CC 2600 SK 200 |
| ctrlnum | (OCoLC)55286543 (DE-599)BVBBV019863137 |
| 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 Philosophie |
| format | Book |
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| id | DE-604.BV019863137 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:07:51Z |
| institution | BVB |
| isbn | 0387219781 |
| language | English |
| lccn | 2004049156 |
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| physical | XIX, 211 S. Ill. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
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| publisher | Springer |
| record_format | marc |
| spelling | Edwards, Harold M. 1936-2020 Verfasser (DE-588)117709700 aut Essays in constructive mathematics Harold M. Edwards New York, NY Springer 2005 XIX, 211 S. Ill. txt rdacontent n rdamedia nc rdacarrier Constructieve wiskunde gtt Mathématiques constructives Constructive mathematics Algebra (DE-588)4001156-2 gnd rswk-swf Konstruktive Mathematik (DE-588)4165105-4 gnd rswk-swf Algebra (DE-588)4001156-2 s Konstruktive Mathematik (DE-588)4165105-4 s DE-604 Digitalisierung UBPassau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013187613&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013187613&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Edwards, Harold M. 1936-2020 Essays in constructive mathematics Constructieve wiskunde gtt Mathématiques constructives Constructive mathematics Algebra (DE-588)4001156-2 gnd Konstruktive Mathematik (DE-588)4165105-4 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4165105-4 |
| title | Essays in constructive mathematics |
| title_auth | Essays in constructive mathematics |
| title_exact_search | Essays in constructive mathematics |
| title_full | Essays in constructive mathematics Harold M. Edwards |
| title_fullStr | Essays in constructive mathematics Harold M. Edwards |
| title_full_unstemmed | Essays in constructive mathematics Harold M. Edwards |
| title_short | Essays in constructive mathematics |
| title_sort | essays in constructive mathematics |
| topic | Constructieve wiskunde gtt Mathématiques constructives Constructive mathematics Algebra (DE-588)4001156-2 gnd Konstruktive Mathematik (DE-588)4165105-4 gnd |
| topic_facet | Constructieve wiskunde Mathématiques constructives Constructive mathematics Algebra Konstruktive Mathematik |
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