Basic Algebra: Groups, Rings and Fields

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Springer Science & Business Media, Dec 1, 2004 - Mathematics - 465 pages
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Basic Algebra is the first volume of a new and revised edition of P.M. Cohn's classic three-volume text Algebra which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students.

In this first volume, the author covers the important results of algebra; the companion volume, Further Algebra and Applications, brings more advanced topics and focuses on the applications. Readers should have some knowledge of linear algebra and have met groups and fields before, although all the essential facts and definitions are recalled.

The coverage is comprehensive and includes topics such as:

- Groups

- lattices and categories

- rings, modules and algebras

- fields

The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

 

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Contents

III
1
V
8
VI
15
VII
25
IX
32
X
34
XI
37
XII
42
LII
238
LIII
249
LV
252
LVI
256
LVII
259
LVIII
268
LIX
272
LX
275

XIII
46
XIV
51
XVI
60
XVII
65
XVIII
70
XIX
79
XXI
84
XXII
91
XXIII
96
XXIV
101
XXV
105
XXVI
110
XXVII
117
XXVIII
125
XXIX
131
XXXI
137
XXXII
141
XXXIII
146
XXXIV
153
XXXV
157
XXXVI
165
XXXVIII
168
XXXIX
173
XL
179
XLI
189
XLIII
195
XLIV
200
XLV
203
XLVI
206
XLVII
211
XLVIII
217
XLIX
223
L
227
LI
232
LXI
279
LXII
291
LXIII
298
LXIV
301
LXV
307
LXVII
312
LXVIII
322
LXIX
331
LXX
336
LXXI
347
LXXIII
349
LXXIV
354
LXXV
361
LXXVI
362
LXXVII
371
LXXVIII
376
LXXIX
380
LXXX
386
LXXXI
391
LXXXII
397
LXXXIV
402
LXXXV
405
LXXXVI
409
LXXXVII
414
LXXXVIII
418
LXXXIX
427
XC
431
XCI
437
XCII
441
XCIII
449
XCIV
453
XCV
457
XCVI
459
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References to this book

Handbook of Linear Algebra
Leslie Hogben
No preview available - 2006

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