Matrices: Theory and Applications

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Springer Science & Business Media, 2002 - Mathematics - 202 pages
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In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the Ecole Normale Superieure de Lyon.
Denis Serre is Professor of Mathematics at Ecole Normale Superieure de Lyon and a former member of the Institut Universaire de France. He is a member of numerous editorial boards and the author of Systems of Conservation Laws (Cambridge University Press 2000). The present book is a translation of the original French edition, Les Matrices: Theorie et Pratique, published by Dunod (2001).
 

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Contents

III
1
IV
8
V
13
VI
15
VII
19
VIII
21
IX
23
X
24
XXXVI
111
XXXVII
114
XXXVIII
116
XXXIX
120
XL
122
XLI
123
XLII
127
XLIII
128

XI
28
XII
29
XIII
30
XIV
31
XV
40
XVI
43
XVII
45
XVIII
47
XIX
51
XX
55
XXI
61
XXII
66
XXIII
67
XXIV
70
XXV
71
XXVI
73
XXVII
80
XXVIII
81
XXIX
82
XXX
85
XXXI
87
XXXII
91
XXXIII
97
XXXIV
101
XXXV
104
XLIV
130
XLV
136
XLVI
137
XLVII
142
XLVIII
143
XLIX
145
L
147
LI
149
LII
150
LIII
151
LIV
153
LV
155
LVI
159
LVII
165
LVIII
168
LIX
169
LX
173
LXI
180
LXII
184
LXIII
188
LXIV
190
LXV
195
LXVI
199
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About the author (2002)

Denis Serre is Professor of Mathematics at Ecole Normale Supérieure de Lyon and a former member of the Institut Universaire de France. He is a member of numerous editorial boards and the author of "Systems of Conservation Laws" (Cambridge University Press 2000). The present book is a translation of the original French edition, "Les Matrices: Théorie et Pratique", published by Dunod (2001).

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