Quantum Calculus

Couverture
Springer Science & Business Media, 16 nov. 2001 - 112 pages
Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by Professor Kac over the last few years at MIT.
 

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Table des matières

II
1
III
5
IV
7
V
12
VI
14
VII
17
VIII
21
IX
27
XVII
56
XVIII
60
XIX
64
XX
67
XXI
73
XXII
76
XXIII
80
XXIV
85

X
29
XI
33
XII
35
XIII
37
XIV
43
XV
47
XVI
50
XXV
90
XXVI
92
XXVII
99
XXVIII
106
XXIX
109
XXX
111
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