An Introduction to Numerical Analysis

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Cambridge University Press, Aug 28, 2003 - Mathematics - 433 pages
2 Reviews
Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency. The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour.
 

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I'm a physics student. My introduction to numerical methods was through this book. I found it excellent.

Contents

II
1
III
2
IV
17
V
19
VI
25
VII
28
VIII
29
IX
32
LXII
224
LXIII
228
LXIV
241
LXV
244
LXVI
247
LXVII
248
LXVIII
252
LXIX
253

X
35
XI
39
XII
44
XIII
48
XIV
52
XV
55
XVI
56
XVII
58
XVIII
72
XIX
74
XX
79
XXI
82
XXII
87
XXIII
93
XXIV
98
XXV
101
XXVI
102
XXVII
104
XXVIII
116
XXIX
123
XXX
124
XXXI
126
XXXII
133
XXXIII
137
XXXV
145
XXXVI
150
XXXVII
156
XXXVIII
162
XL
164
XLI
166
XLII
170
XLIII
172
XLIV
174
XLV
175
XLVI
179
XLVII
180
XLVIII
185
XLIX
187
L
191
LI
194
LII
195
LIII
200
LIV
201
LV
204
LVI
208
LVII
209
LVIII
211
LIX
215
LX
219
LXI
220
LXX
256
LXXI
259
LXXII
270
LXXIII
272
LXXIV
273
LXXV
277
LXXVI
280
LXXVII
282
LXXVIII
285
LXXIX
287
LXXX
288
LXXXII
292
LXXXIII
293
LXXXIV
297
LXXXV
298
LXXXVI
300
LXXXVII
302
LXXXVIII
310
LXXXIX
317
XC
321
XCI
324
XCII
325
XCIII
329
XCIV
331
XCV
337
XCVI
340
XCVII
341
XCVIII
343
XCIX
349
C
353
CI
355
CII
361
CIII
364
CIV
367
CV
370
CVI
373
CVII
375
CVIII
380
CIX
381
CX
385
CXI
388
CXII
391
CXIII
397
CXIV
403
CXV
412
CXVI
414
CXVII
419
CXVIII
423
CXIX
429
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