Introduction to Numerical Analysis

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Cambridge University Press, Oct 1, 2001 - Mathematics - 356 pages
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Numerical analysis is an increasingly important link between pure mathematics and its application in science and technology. This textbook provides an introduction to the justification and development of constructive methods that provide sufficiently accurate approximations to the solution of numerical problems, and the analysis of the influence that errors in data, finite-precision calculations, and approximation formulas have on results, problem formulation and the choice of method. It also serves as an introduction to scientific programming in MATLAB, including many simple and difficult, theoretical and computational exercises. A unique feature of this book is the consequent development of interval analysis as a tool for rigorous computation and computer assisted proofs, along with the traditional material.
 

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Contents

II
1
III
2
IV
14
V
23
VI
33
VII
38
VIII
53
IX
61
XXVI
196
XXVII
203
XXVIII
210
XXIX
219
XXX
225
XXXI
233
XXXII
234
XXXIII
241

X
63
XI
73
XII
82
XIII
94
XIV
99
XV
106
XVI
112
XVII
119
XVIII
130
XIX
131
XX
145
XXI
153
XXII
165
XXIV
170
XXV
187
XXXIV
250
XXXV
256
XXXVI
265
XXXVII
273
XXXVIII
281
XXXIX
293
XL
301
XLI
302
XLII
311
XLIII
322
XLIV
329
XLV
340
XLVI
345
XLVII
351
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