The Classical Groups: Their Invariants and Representations, Numéro 1,Partie 1

Couverture
Princeton University Press, 1946 - 320 pages
1 Commentaire
Les avis ne sont pas validés, mais Google recherche et supprime les faux contenus lorsqu'ils sont identifiés

In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics.


Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful."


Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.

 

Avis des internautes - Rédiger un commentaire

Aucun commentaire n'a été trouvé aux emplacements habituels.

Table des matières

III
1
IV
6
V
11
VI
13
VII
23
VIII
27
IX
29
X
36
LI
169
LII
173
LIII
176
LIV
181
LV
185
LVI
194
LVII
198
LVIII
201

XI
39
XII
42
XIII
45
XIV
47
XV
49
XVI
52
XVII
56
XIX
62
XX
65
XXI
66
XXII
70
XXIII
72
XXIV
75
XXV
79
XXVI
84
XXVII
87
XXVIII
90
XXIX
93
XXX
96
XXXI
101
XXXII
106
XXXIII
107
XXXIV
112
XXXV
115
XXXVI
119
XXXVII
124
XXXVIII
127
XXXIX
131
XL
137
XLI
140
XLII
143
XLIII
144
XLIV
147
XLV
149
XLVI
153
XLVII
159
XLIX
163
L
165
LIX
208
LX
216
LXI
222
LXII
229
LXIII
232
LXIV
239
LXV
243
LXVI
246
LXVII
248
LXVIII
250
LXIX
251
LXX
252
LXXI
254
LXXII
258
LXXIII
262
LXXIV
265
LXXV
268
LXXVI
270
LXXVII
274
LXXVIII
275
LXXIX
276
LXXX
280
LXXXII
283
LXXXIII
286
LXXXIV
288
LXXXV
291
LXXXVI
293
LXXXVII
294
LXXXVIII
295
XC
296
XCI
299
XCII
300
XCIII
303
XCIV
307
XCV
308
XCVI
314
XCVII
317
Droits d'auteur

Autres éditions - Tout afficher

Expressions et termes fréquents

Informations bibliographiques