Algebraic geometry for scientists and engineers
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[1990]
|
| Schriftenreihe: | Mathematical surveys and monographs
Volume 35 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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Datensatz im Suchindex
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| adam_text | MATHEMATICAL SUERVEYS ANDMONOGRAPHS NUEMBER 35 ALGEBRAIC GEOMETRY
FORSCIENTISTS AND ENGINEERS SHREERAM S. ABHYANKAR 31 AMERICAN
MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS PREFACE XI
LECTURE 1. RATIONAL AND POLYNOMIAL PARAMETRIZATIONS 1 LECTURE 2.
FRACTIONAL LINEAR TRANSFORMATIONS 11 LECTURE 3. CUBIC CURVES 17 LECTURE
4. CUBIC SURFACES AND GENERAL HYPERSURFACES 23 LECTURE 5. OUTLINE OF THE
THEORY OF PLANE CURVES 33 LECTURE 6. AFFINE PLANE AND PROJECTIVE PLANE
41 LECTURE 7. SPHERE WITH HANDIES 47 LECTURE 8. FUNCTIONS AND
DIFFERENTIALS ON A CURVE 57 LECTURE 9. POLYNOMIALS AND POWER SERIES 67
LECTURE 10. REVIEW OF ABSTRACT ALGEBRA 75 LECTURE 11. SOME COMMUTATIVE
ALGEBRA 83 LECTURE 12. HENSEL S LEMMA AND NEWTON S THEOREM 89 LECTURE
13. MORE ABOUT NEWTON S THEOREM 95 LECTURE 14. BRANCHES AND VALUATIONS
99 LECTURE 15. DIVISORS OF FUNCTIONS AND DIFFERENTIALS 109 LECTURE 16.
WEIERSTRASS PREPARATION THEOREM 119 LECTURE 17. INTERSECTION
MULTIPLICITY 125 LECTURE 18. RESOLUTION OF SINGULARITIES OF PLANE CURVES
131 LECTURE 19. INFINITELY NEAR SINGULARITIES 145 LECTURE 20.
PARAMETRIZING A QUARTIC WITH THREE DOUBLE POINTS 159 LECTURE 21.
CHARACTERISTIC PAIRS 165 LECTURE 22. CRITERION FOR ONE PLACE AND
JACOBIAN PROBLEM 177 LECTURE 23. INVERSION FORMULA AND JACOBIAN PROBLEM
189 LECTURE 24. SURFACES 195 LECTURE 25. HYPERSURFACES 209 LECTURE 26.
RESOLUTION OF SINGULARITIES OF ALGEBRAIC SURFACES 221 LECTURE 27.
BIRATIONAL AND POLYRATIONAL TRANSFORMATIONS 235 LECTURE 28. VALUATIONS
AND BIRATIONAL CORRESPONDENCE 243 LECTURE 29. RATIONAL CYLINDERS THROUGH
A VARIETY 255 LECTURE 30. RESULTANTS 267 BIBLIOGRAPHY 275 INDEX 283 IX
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| any_adam_object | 1 |
| author | Abhyankar, Shreeram Shankar 1930- |
| author_GND | (DE-588)119137569 |
| author_facet | Abhyankar, Shreeram Shankar 1930- |
| author_role | aut |
| author_sort | Abhyankar, Shreeram Shankar 1930- |
| author_variant | s s a ss ssa |
| building | Verbundindex |
| bvnumber | BV004593181 |
| classification_rvk | SK 240 |
| classification_tum | MAT 140f |
| ctrlnum | (OCoLC)231245760 (DE-599)BVBBV004593181 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004593181 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T11:19:24Z |
| institution | BVB |
| isbn | 0821815350 9780821815359 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002823705 |
| oclc_num | 231245760 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-706 DE-83 DE-11 DE-188 |
| physical | xiii, 295 Seiten Diagramme |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spellingShingle | Abhyankar, Shreeram Shankar 1930- Algebraic geometry for scientists and engineers Mathematical surveys and monographs Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 |
| title | Algebraic geometry for scientists and engineers |
| title_auth | Algebraic geometry for scientists and engineers |
| title_exact_search | Algebraic geometry for scientists and engineers |
| title_full | Algebraic geometry for scientists and engineers Shreeram S. Abhyankar |
| title_fullStr | Algebraic geometry for scientists and engineers Shreeram S. Abhyankar |
| title_full_unstemmed | Algebraic geometry for scientists and engineers Shreeram S. Abhyankar |
| title_short | Algebraic geometry for scientists and engineers |
| title_sort | algebraic geometry for scientists and engineers |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002823705&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
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