A First Course in Discrete Mathematics

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Springer Science & Business Media, Oct 27, 2000 - Mathematics - 200 pages
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Discrete mathematics has now established its place in most undergraduate mathematics courses. This textbook provides a concise, readable and accessible introduction to a number of topics in this area, such as enumeration, graph theory, Latin squares and designs. It is aimed at second-year undergraduate mathematics students, and provides them with many of the basic techniques, ideas and results. It contains many worked examples, and each chapter ends with a large number of exercises, with hints or solutions provided for most of them. As well as including standard topics such as binomial coefficients, recurrence, the inclusion-exclusion principle, trees, Hamiltonian and Eulerian graphs, Latin squares and finite projective planes, the text also includes material on the ménage problem, magic squares, Catalan and Stirling numbers, and tournament schedules.
 

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Contents

I
1
II
2
III
3
IV
6
V
10
VI
13
VII
19
VIII
23
XXVIII
94
XXIX
96
XXX
99
XXXI
107
XXXII
112
XXXIII
113
XXXIV
114
XXXV
115

IX
26
X
28
XI
32
XII
34
XIII
43
XIV
46
XV
47
XVI
50
XVII
52
XVIII
54
XIX
60
XX
69
XXI
71
XXII
74
XXIII
76
XXIV
78
XXV
81
XXVI
89
XXVII
91
XXXVI
121
XXXVII
125
XXXVIII
127
XXXIX
131
XL
137
XLI
142
XLII
145
XLIII
149
XLIV
156
XLV
159
XLVI
161
XLVII
165
XLVIII
167
XLIX
179
L
183
LI
195
LII
197
LIII
199
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Ian Anderson is a blackjack pro who has collected his secrets in his books Turning the Tables on Las Vegas and Burning the Tables in Las Vegas - Keys to Success in Blackjack and in Life.

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