Algorithms for Computer Algebra

Couverture
Springer Science & Business Media, 30 sept. 1992 - 586 pages
Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter.
Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.
 

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Table des matières

II
III
1
IV
3
V
10
VI
19
VII
22
IX
25
X
31
LVI
277
LVIII
279
LIX
284
LX
299
LXI
310
LXII
313
LXIII
319
LXIV
330

XI
37
XII
45
XIII
51
XIV
59
XV
62
XVI
69
XVII
72
XVIII
77
XXIII
79
XXIV
83
XXV
87
XXVI
92
XXVII
95
XXVIII
104
XXIX
109
XXX
110
XXXI
117
XXXII
119
XXXIII
122
XXXIV
127
XXXV
131
XXXVI
132
XXXVII
135
XXXVIII
144
XXXIX
149
XLII
159
XLIII
166
XLIV
173
XLV
182
XLVI
188
XLVII
195
XLVIII
203
XLIX
213
L
225
LI
231
LII
239
LIII
249
LIV
259
LV
273
LXV
335
LXIX
342
LXX
346
LXXI
358
LXXII
367
LXXIII
373
LXXIV
377
LXXV
383
LXXVI
388
LXXIX
389
LXXX
392
LXXXI
398
LXXXII
404
LXXXIII
421
LXXXIV
428
LXXXV
430
LXXXVI
438
LXXXVII
446
LXXXVIII
450
LXXXIX
461
XC
465
XCI
471
XCIV
473
XCV
481
XCVI
487
XCVII
491
XCVIII
507
XCIX
510
CIII
511
CIV
518
CV
522
CVI
528
CVII
529
CVIII
546
CIX
560
CX
568
CXI
573
CXII
576
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