Polynomials

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Springer Science & Business Media, Oct 9, 2003 - Mathematics - 455 pages
3 Reviews
The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems. In addition, 69 "explorations" invite the reader to investigate research problems and related topics.
 

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Contents

III
1
IV
9
V
14
VI
18
VII
25
VIII
31
IX
38
X
40
XXXII
150
XXXIII
154
XXXIV
155
XXXV
159
XXXVI
160
XXXVII
163
XXXVIII
174
XXXIX
183

XI
43
XII
46
XIII
50
XIV
57
XV
66
XVI
74
XVII
78
XVIII
81
XIX
83
XX
93
XXI
98
XXII
104
XXIII
110
XXIV
114
XXV
117
XXVI
120
XXVII
125
XXVIII
128
XXIX
130
XXX
142
XXXI
146
XL
190
XLI
194
XLII
198
XLIII
201
XLIV
202
XLV
205
XLVI
208
XLVII
210
XLVIII
218
XLIX
225
L
230
LI
231
LII
233
LIII
236
LIV
246
LV
250
LVI
403
LVII
427
LVIII
449
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Problem-Solving Strategies
Arthur Engel
No preview available - 1998
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