Modern Computer Algebra

Front Cover
Cambridge University Press, Jul 3, 2003 - Computers - 785 pages
Computer algebra systems are gaining importance in all areas of science and engineering. This textbook gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. It is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority also make it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). Some of this material has never appeared before in book form. For the new edition, errors have been corrected, the text has been smoothed and updated, and new sections on greatest common divisors and symbolic integration have been added.
 

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Contents

I
1
II
9
III
14
IV
16
V
17
VI
21
VII
27
IX
30
XCIX
387
C
391
CI
396
CII
402
CIII
407
CIV
411
CV
421
CVII
423

X
32
XI
35
XII
39
XIII
43
XIV
45
XV
49
XVI
53
XVII
60
XVIII
67
XIX
71
XX
73
XXI
74
XXII
75
XXIII
77
XXIV
81
XXV
82
XXVI
89
XXVII
95
XXVIII
98
XXIX
99
XXX
101
XXXI
102
XXXII
107
XXXIII
111
XXXIV
113
XXXV
116
XXXVI
119
XXXVII
122
XXXVIII
126
XXXIX
129
XL
130
XLI
139
XLII
145
XLIII
150
XLIV
156
XLV
159
XLVI
162
XLVII
166
XLVIII
169
XLIX
174
L
176
LI
181
LII
189
LIII
191
LIV
195
LV
197
LVI
207
LVII
215
LVIII
219
LIX
220
LX
225
LXI
235
LXII
243
LXIII
244
LXIV
245
LXV
253
LXVI
260
LXVII
261
LXVIII
263
LXIX
267
LXX
269
LXXI
274
LXXII
282
LXXIII
283
LXXIV
291
LXXV
295
LXXVI
297
LXXVII
302
LXXVIII
309
LXXIX
320
LXXX
324
LXXXII
327
LXXXIII
330
LXXXIV
331
LXXXV
337
LXXXVI
344
LXXXVII
345
LXXXVIII
349
LXXXIX
353
XC
358
XCII
361
XCIII
367
XCIV
370
XCV
372
XCVI
379
XCVII
382
XCVIII
383
CVIII
429
CIX
432
CX
438
CXI
441
CXII
449
CXIII
453
CXIV
455
CXV
461
CXVI
463
CXVII
468
CXVIII
475
CXIX
477
CXX
481
CXXI
484
CXXII
486
CXXIII
491
CXXIV
493
CXXVI
496
CXXVII
497
CXXIX
499
CXXX
505
CXXXI
507
CXXXII
508
CXXXIII
511
CXXXIV
517
CXXXV
518
CXXXVI
520
CXXXVII
523
CXXXVIII
531
CXXXIX
533
CXL
534
CXLI
535
CXLII
539
CXLIII
547
CXLV
557
CXLVI
559
CXLVII
563
CXLVIII
566
CXLIX
568
CL
569
CLII
570
CLIV
571
CLV
575
CLVI
581
CLVII
585
CLVIII
591
CLIX
594
CLX
598
CLXI
602
CLXII
606
CLXIII
607
CLXIV
609
CLXV
613
CLXVII
615
CLXVIII
617
CLXIX
622
CLXX
630
CLXXI
631
CLXXII
635
CLXXIII
640
CLXXIV
643
CLXXV
648
CLXXVI
659
CLXXVII
661
CLXXVIII
667
CLXXIX
669
CLXXX
671
CLXXXI
675
CLXXXII
687
CLXXXIII
688
CLXXXIV
693
CLXXXV
695
CLXXXVI
698
CLXXXVII
701
CLXXXVIII
703
CLXXXIX
707
CXC
710
CXCI
711
CXCII
714
CXCIII
715
CXCV
720
CXCVI
722
CXCVII
724
CXCVIII
758
CXCIX
759
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