An Introduction to Programming and Numerical Methods in MATLAB

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Springer Science & Business Media, May 3, 2005 - Business & Economics - 463 pages
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MATLAB is a powerful programme, which naturally lends itself to the rapid implementation of most numerical algorithms. This text, which uses MATLAB, gives a detailed overview of structured programming and numerical methods for the undergraduate student.

The book covers numerical methods for solving a wide range of problems, from integration to the numerical solution of differential equations or the simulation of random processes. Each chapter includes extensive examples and tasks, at varying levels of complexity. For practice, the early chapters include programmes that require debugging by the reader, while full solutions are given for all the tasks. The book also includes:

  • a glossary of MATLAB commands
  • appendices of mathematical techniques used in numerical methods.

Designed as a text for a first course in programming and algorithm design, as well as in numerical methods courses, the book will be of benefit to a wide range of students from mathematics and engineering, to commerce.

 

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Contents

I
1
II
2
III
4
IV
5
V
8
VI
12
VII
13
IX
14
LXVI
182
LXVII
185
LXVIII
186
LXIX
190
LXX
191
LXXI
198
LXXII
199
LXXIII
204

X
17
XI
20
XII
22
XIII
23
XIV
24
XV
27
XVI
30
XVII
35
XVIII
36
XIX
41
XX
44
XXI
49
XXII
51
XXIII
54
XXIV
57
XXV
63
XXVI
68
XXVII
73
XXVIII
76
XXIX
79
XXX
82
XXXI
83
XXXII
85
XXXIII
88
XXXIV
90
XXXV
92
XXXVII
94
XXXVIII
97
XXXIX
103
XL
104
XLI
109
XLII
113
XLIII
117
XLV
123
XLVI
125
XLVII
128
XLVIII
130
XLIX
133
L
134
LI
139
LII
141
LIII
147
LIV
148
LV
150
LVI
152
LVII
155
LVIII
158
LIX
161
LX
163
LXI
164
LXII
166
LXIII
169
LXIV
174
LXV
180
LXXIV
208
LXXV
212
LXXVI
214
LXXVII
217
LXXVIII
225
LXXIX
226
LXXX
229
LXXXI
230
LXXXII
235
LXXXIII
237
LXXXIV
238
LXXXVI
240
LXXXVII
242
LXXXVIII
247
LXXXIX
253
XC
259
XCI
263
XCII
266
XCIII
270
XCIV
273
XCV
274
XCVI
278
XCVII
282
XCVIII
285
XCIX
286
C
291
CI
293
CII
295
CIII
298
CIV
299
CV
300
CVII
307
CVIII
309
CIX
316
CX
319
CXI
323
CXII
330
CXIII
331
CXIV
335
CXV
343
CXVI
347
CXVII
365
CXVIII
389
CXIX
394
CXX
400
CXXI
408
CXXII
414
CXXIII
418
CXXIV
429
CXXV
436
CXXVI
454
CXXVII
459
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About the author (2005)

Steve Otto was formerly a lecturer at Birmingham University but now heads a research unit at St. Andrews, UK. This book is based on courses taught at Birmingham and at Adelaide to students in mathematics, engineering and economics.

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