Computer algebra:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Dekker
1989
|
| Ausgabe: | 1. print. |
| Schriftenreihe: | Lecture notes in pure and applied mathematics
113. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 240 S. |
| ISBN: | 0824780388 |
Internformat
MARC
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| 245 | 1 | 0 | |a Computer algebra |c ed. by David V. Chudnovsky ... |
| 250 | |a 1. print. | ||
| 264 | 1 | |a New York u.a. |b Dekker |c 1989 | |
| 300 | |a IX, 240 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in pure and applied mathematics |v 113. | |
| 650 | 4 | |a Algèbre - Informatique | |
| 650 | 7 | |a Calcul formel |2 ram | |
| 650 | 0 | 7 | |a Computeralgebra |0 (DE-588)4010449-7 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 1984 |z New York, NY |2 gnd-content | |
| 689 | 0 | 0 | |a Computeralgebra |0 (DE-588)4010449-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Chudnovsky, David V. |e Sonstige |4 oth | |
| 830 | 0 | |a Lecture notes in pure and applied mathematics |v 113. |w (DE-604)BV005871364 |9 113 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-003862260 | |
Datensatz im Suchindex
| _version_ | 1820875974172999680 |
|---|---|
| adam_text |
Contents
PREFACE iii
CONTRIBUTORS ix
USE OF COMPUTER ALGEBRA FOR DIOPHANTINE AND
DIFFERENTIAL EQUATIONS 1
David V. Chudnovsky and Gregory V. Chudnovsky
1. Computer Algebra and Problems of Diophantine Approximations
and Diophantine Geometry in the Function Field Case 2
2. Extremal Methods in the Theory of Diophantine
Approximations 19
3. Diophantine Approximations to Various Numbers 34
4. Modular Equations and Approximations to ir 40
5. Pade Approximations to Generalized Hypergeometric
Functions of Type II 47
6. Measures of Diophantine Approximations for Values of
Special G Functions 55
7. The Arithmetic and Analytic Asymptotics of Pade
Approximants 64
8. Differential Algebra Computations 75
References ?8
COMPUTER ALGEBRA AND THE HILBERT MODULAR EQUATION 83
Harvey Cohn
1. Introduction 83
2. The Weber Modular Equation 84
3. Hilbert Modular Functions and Equations 85
4. Theoretical Motivations 87
References 88
SOME CAYLEY EXAMPLES 89
Michael C. Slattery
1. Introduction 89
2. Semidirect Products 90
3. A Small p Group Example 94
4. Conclusion 95
References 96
v
vi Contents
PHYSICS, RAMANUJAN, AND COMPUTER ALGEBRA 97
George E. Andrews
1. Introduction 97
2. The Rogers Ramanujan Identities and the
Hard Hexagon Model 98
3. The Rogers Bailey Approach to the Rogers
Ramanujan Identities 102
4. Gbllnitz's Theorem 105
5. Conclusion 108
References 108
POLYPAK: AN ALGEBRAIC PROCESSOR FOR COMPUTATIONS
IN CELESTIAL MECHANICS HI
Dieter S. Schmidt
1. Introduction HI
2. Description of POLYPAK H3
3. Research Projects for Which POLYPAK Has Been Used 118
References 119
COMPUTER ALGEBRA AND DEFINITE INTEGRALS 121
Richard Askey
ALGEBRAIC COMPUTATIONS AND STRUCTURES I29
James H. Davenport
1. Data Types of Computer Algebra I29
2. Constructive Algebra? I35
References 143
COMPUTATION OF GALOIS GROUPS FROM POLYNOMIALS OVER
THE RATIONALS 145
David J. Ford and John McKay
1. Introduction 145
2. The Method 146
3. An Example 149
References 150
ON THE USE OF SCRATCHPAD IN THE CONSTRUCTION OF
CONVOLUTION ALGORITHMS 151
Louis Auslander and Allan J. Silberger
1. Introduction 151
2. Computing Cyclic Convolution on Three Points I52
3. Cyclic Convolution on Nine Points I56
Appendix 159
References 181
Contents vii
AUTOMATED GENERATION OF OPTIMIZED CONVOLUTION
ALGORITHMS 183
James W. Cooley
1. Introduction 183
2. The Uses of SCRATCHPAD Generated Convolution
Algorithms 185
3. Mathematical Background 186
4. Derivation of the N = 7 Algorithm 188
5. Post SCRATCHPAD Processing 194
6. A Suggested Extension of SCRATCHPAD 195
7. Conclusions 196
References 196
MANUAL FOR THE SYSTEM PNCRE 199
Robert Riley
1. History of P 201
2. Preparation of the P System 205
3. Writing Programs that Call P Subroutines 209
4. The Sample Main Program KNOTS3 220
References 223
PANEL DISCUSSION 225
INDEX 239 |
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| classification_rvk | SD 1984 |
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| dewey-full | 510.285 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.285 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. print. |
| format | Book |
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| genre_facet | Konferenzschrift 1984 New York, NY |
| id | DE-604.BV006113675 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-10T15:24:09Z |
| institution | BVB |
| isbn | 0824780388 |
| language | English |
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| physical | IX, 240 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Dekker |
| record_format | marc |
| series | Lecture notes in pure and applied mathematics |
| series2 | Lecture notes in pure and applied mathematics |
| spelling | Computer algebra ed. by David V. Chudnovsky ... 1. print. New York u.a. Dekker 1989 IX, 240 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics 113. Algèbre - Informatique Calcul formel ram Computeralgebra (DE-588)4010449-7 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1984 New York, NY gnd-content Computeralgebra (DE-588)4010449-7 s DE-604 Chudnovsky, David V. Sonstige oth Lecture notes in pure and applied mathematics 113. (DE-604)BV005871364 113 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003862260&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Computer algebra Lecture notes in pure and applied mathematics Algèbre - Informatique Calcul formel ram Computeralgebra (DE-588)4010449-7 gnd |
| subject_GND | (DE-588)4010449-7 (DE-588)1071861417 |
| title | Computer algebra |
| title_auth | Computer algebra |
| title_exact_search | Computer algebra |
| title_full | Computer algebra ed. by David V. Chudnovsky ... |
| title_fullStr | Computer algebra ed. by David V. Chudnovsky ... |
| title_full_unstemmed | Computer algebra ed. by David V. Chudnovsky ... |
| title_short | Computer algebra |
| title_sort | computer algebra |
| topic | Algèbre - Informatique Calcul formel ram Computeralgebra (DE-588)4010449-7 gnd |
| topic_facet | Algèbre - Informatique Calcul formel Computeralgebra Konferenzschrift 1984 New York, NY |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003862260&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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