Encyclopaedia of Mathematics, Volume 6

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Michiel Hazewinkel
Springer Science & Business Media, Aug 31, 1990 - Mathematics - 546 pages
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This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
 

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Contents

Section 1
1
Section 2
10
Section 3
44
Section 4
54
Section 5
58
Section 6
64
Section 7
65
Section 8
96
Section 16
204
Section 17
251
Section 18
276
Section 19
278
Section 20
292
Section 21
301
Section 22
306
Section 23
309

Section 9
120
Section 10
126
Section 11
138
Section 12
142
Section 13
153
Section 14
164
Section 15
166
Section 24
316
Section 25
365
Section 26
376
Section 27
378
Section 28
381
Section 29
387

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