Mathematical modelling with case studies: using Maple and MATLAB
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
2015
|
| Ausgabe: | 3. ed. |
| Schriftenreihe: | Textbooks in mathematics
A Chapman & Hall book |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 361 - 364 |
| Beschreibung: | XVII, 372 S. graph. Darst. |
| ISBN: | 9781482247725 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
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| 003 | DE-604 | ||
| 005 | 20200513 | ||
| 007 | t | ||
| 008 | 150302s2015 d||| |||| 00||| eng d | ||
| 020 | |a 9781482247725 |c (Hardback) |9 978-1-4822-4772-5 | ||
| 035 | |a (OCoLC)915581046 | ||
| 035 | |a (DE-599)BVBBV042386916 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
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| 084 | |a 35K05 |2 msc | ||
| 100 | 1 | |a Barnes, Belinda |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical modelling with case studies |b using Maple and MATLAB |c B. Barnes and G. R. Fulford |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2015 | |
| 300 | |a XVII, 372 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Textbooks in mathematics | |
| 490 | 0 | |a A Chapman & Hall book | |
| 500 | |a Literaturverz. S. 361 - 364 | ||
| 650 | 0 | 7 | |a Algebraische Differentialgleichung |0 (DE-588)4001158-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a MATLAB |0 (DE-588)4329066-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Maple |g Programm |0 (DE-588)4209397-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Differentialgleichung |0 (DE-588)4001158-6 |D s |
| 689 | 0 | 1 | |a Maple |g Programm |0 (DE-588)4209397-1 |D s |
| 689 | 0 | 2 | |a MATLAB |0 (DE-588)4329066-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Fulford, Glenn |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-1-4822-4775-6 |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027822877 | |
Datensatz im Suchindex
| DE-BY-862_location | 2000 |
|---|---|
| DE-BY-FWS_call_number | 2000/SK 950 B261(3) |
| DE-BY-FWS_katkey | 636404 |
| DE-BY-FWS_media_number | 083000517324 |
| _version_ | 1824555335639105537 |
| adam_text |
CONTENTS
PREFACE
AUTHORS
ACKNOWLEDGEMENTS
1
INTRODUCTION TO
MATHEMATICAL
MODELLING
1
1.1
MATHEMATICAL
MODELS
1
1.2
AN
OVERVIEW
OF THE BOOK
2
1.3 SOME MODELLING
APPROACHES
4
1.4
MODELLING FOR DECISION-MAKING
6
2
COMPARTMENTAL
MODELS
9
2.1
INTRODUCTION
9
2.2
EXPONENTIAL DECAY
AND RADIOACTIVITY
10
2.3
CASE
STUDY:
DETECTING ART FORGERIES
17
2.4
SCENARIO: PACIFIC RATS
COLONISE NEW ZEALAND
19
2.5
LAKE
POLLUTION MODELS
20
2.6
CASE STUDY: LAKE
BURLEY GRIFFIN
26
2.7
DRUG ASSIMILATION
INTO THE BLOOD
28
2.8
CASE
STUDY:
DULL, DIZZY OR DEAD?
33
2.9
CASCADES
OF COMPARTMENTS
37
2.10
FIRST-ORDER LINEAR DES
38
2.11
EQUILIBRIUM
POINTS AND STABILITY
39
2.12
CASE
STUDY: MONEY
MAKES THE WORLD
GO AROUND
41
2.13
EXERCISES
FOR CHAPTER
2
44
3
MODELS OF SINGLE
POPULATIONS
51
3.1
EXPONENTIAL GROWTH
51
3.2
DENSITY-DEPENDENT
GROWTH
56
3.3
LIMITED GROWTH
WITH HARVESTING
62
3.4
SCENARIO:
ANCHOVY WIPE-OUT
65
3.5
SCENARIO: HOW
CAN 2 X 106
BIRDS
MEAN RARE?
66
3.6
CASE
STUDY: IT'S A DOG'S
LIFE: THE CONTROL OF
STRAY DOGS
66
3.7
DISCRETE
POPULATION GROWTH AND
CHAOS
68
3.8
TIME-DELAYED
REGULATION
75
3.9
CASE
STUDY:
AUSTRALIAN
BLOWFLIES
77
3.10
EXERCISES FOR CHAPTER
3
78
4
NUMERICAL SOLUTION
OF DIFFERENTIAL
EQUATIONS
85
4.1
INTRODUCTION
85
4.2
BASIC NUMERICAL
SCHEMES
85
4.3
COMPUTER
IMPLEMENTATION
USING MAP1ETM
AND
MATLAB
89
VII
OES
NOT
WARRANT
THE
OR
RELATED
PRODUCTS
ROACH OR
PARTICULAR
EFFORTS
HAVE
BEEN
ILITY
FOR THE
VALID
ACE THE
COPYRIGHT
TO
PUBLISH
IN
THIS
S
KNOW
SO
WE
MAY
ANSMITTED,
OR UTI
UDING
PHOTOCOPY
MISSION
FROM
THE
IGHT.COM
(HTTP://
NVERS
,
MA
01923,
IETY
OF
USERS.
FOR
BEEN
ARRANGED.
ARE
USED ONLY
FOR
01599
VIH
4.4
INSTABILITY
4.5
DISCUSSION
4.6
EXERCISES
FOR
CHAPTER 4
5
INTERACTING
POPULATION
MODELS
91
91
92
97
9.6
RADIAL
HE
9.7
HEAT
FINS
9.8
DIFFUSION
9.9
EXERCISES
5.1
INTRODUCTION
97
10
SOLVING
TIME.
5.2
MODEL FOR AN
INFLUENZA
OUTBREAK
99
10.1
THE
COOLI.
5.3
CASE
STUDY:
CHOLERA
109
10.2
THE
HOT
V
5.4
PREDATORS
AND PREY
113
10.3
CASE
STU(
5.5
SCENARIO:
NILE PERCH
CATASTROPHE
120
10.4
SPONTANE;
5.6
CASE
STUDY:
IT'S A DOG'S
LIFE: MORE ON
THE CONTROL
OF STRAY
DOGS
121
10.5
SCENARIO:
5.7
COMPETING
SPECIES
124
10.6
EXERCISES
5.8
SCENARIO:
AGGRESSIVE
PROTECTION
OF LERPS
AND NYMPHS
129
5.9
MODEL
OF A BATTLE 130
11
SOLVING HEAT
5.10
CASE STUDY: RISE AND FALL OF CIVILISATIONS 135
11.1 BOUNDARY
5.11
EXERCISES FOR CHAPTER 5 138
11.2 HEAT LOSS
11.3
CASE
STU
6
PHASE-PLANE
ANALYSIS
145
11.4
INSULATING
6.1
INTRODUCTION
145
11.5
COOLING
A
6.2
PHASE-PLANE
ANALYSIS OF EPIDEMIC MODEL 148
11.6 CASE STU(
6.3
ANALYSIS
OF A BATTLE MODEL 152
11.7 EXERCISES
6.4
ANALYSIS
OF A
PREDATOR-PREY
MODEL
157
6.5
ANALYSIS
OF COMPETING SPECIES MODELS 161
12
INTRODUCTION
6.6
CLOSED TRAJECTORIES FOR THE PREDATOR-PREY
6.7
CASE
STUDY: BACTERIA BATTLE IN THE GUT
6.8
EXERCISES FOR CHAPTER 6
167
169
171
12.1
THE HEAT
OSCIL
LATIN,
12.2
CASE
12.3
ST
U(
12.4
LAKE
POLL'
7
LINEARISATION
ANALYSIS 179
12.5 EXERCISES
7.1
INTRODUCTION
179
7.2
LINEAR
THEORY 179
A DIFFERENTIAL E
7.3
APPLICATIONS
OF LINEAR THEORY 188
A.1
PROPERTIES
A.2 SOLUTION
7.4
NONLINEAR
THEORY 190
A.3
FIRST-ORCK
7.5
APPLICATIONS
OF NONLINEAR THEORY 193
A.4
FIRST-ORDE
7.6
EXERCISES
FOR CHAPTER 7 196
A.5
HOMOGENY
8
SOME
EXTENDED POPULATION MODELS 199
A.6 INHOMOGE
8.1
INTRODUCTION
199
B
FURTHER MAIL
8.2
CASE STUDY: COMPETITION, PREDATION AND DIVERSITY 199
B.1
LINEAR
ALL
8.3
EXTENDED
PREDATOR-PREY
MODELS
202
B.2
PARTIAL
D(
8.4
CASE
STUDY:
LEMMING
MASS
SUICIDES?
205
B.3
REVIEW
O:
8.5
CASE
STUDY:
PRICKLY PEAR
MEETS ITS
MOTH
208
B.4
HYPERBOL
8.6
CASE
STUDY: GEESE
DEFY
MATHEMATICAL
CONVENTION
210
B.5
INTEGRATK
8.7
CASE
STUDY:
POSSUMS THREATEN
NEW
ZEALAND COWS
214
8.8
EXERCISES
FOR
CHAPTER 8
220
C
NOTES
ON
ME
C.1
BRIEF
INTR
9
FORMULATING
HEAT AND
MASS
TRANSPORT
MODELS
225
C.2
SOLVING
D
9.1
INTRODUCTION
225
C.3
BRIEF
INTR
9.2
SOME
BASIC
PHYSICAL LAWS
226
C.4
SOLVING
D
9.3
MODEL
FOR
A HOT WATER
HEATER
229
9.4
HEAT
CONDUCTION
AND FOURIER'S
LAW
234
D
UNITS
AND
SC
9.5
HEAT
CONDUCTION THROUGH
A WALL
236
D.1
SCALING
D
IX
9.6
RADIAL HEAT CONDUCTION 240
9.7
HEAT FINS 242
9.8
DIFFUSION
246
9.9
EXERCISES FOR
CHAPTER 9
249
10
SOLVING TIME-DEPENDENT HEAT PROBLEMS
251
10.1
THE COOLING COFFEE PROBLEM REVISITED
251
10.2
THE HOT WATER HEATER PROBLEM REVISITED
254
10.3
CASE STUDY: IT'S HOT AND STUFFY IN THE
ATTIC 258
10.4
SPONTANEOUS COMBUSTION 261
10.5
SCENARIO:
FISH AND CHIPS EXPLODE
267
10.6
EXERCISES FOR CHAPTER 10 268
11
SOLVING HEAT CONDUCTION AND DIFFUSION PROBLEMS
271
11.1
BOUNDARY VALUE PROBLEMS
271
11.2
HEAT LOSS THROUGH A WALL 273
11.3
CASE STUDY: DOUBLE GLAZING: WHAT'S IT WORTH?
278
11.4
INSULATING A WATER PIPE 281
11.5
COOLING A COMPUTER CHIP
286
11.6
CASE STUDY: TUMOUR GROWTH 291
11.7
EXERCISES FOR CHAPTER 11 294
12
INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
301
12.1
THE HEAT CONDUCTION EQUATION 301
12.2
OSCILLATING SOIL TEMPERATURES 303
12.3
CASE STUDY:
DETECTING LAND MINES 308
12.4
LAKE POLLUTION REVISITED 311
12.5
EXERCISES FOR CHAPTER 12 317
A
DIFFERENTIAL EQUATIONS
319
A.1
PROPERTIES OF DIFFERENTIAL EQUATIONS 319
A.2
SOLUTION BY INSPECTION 320
A.3
FIRST-ORDER SEPARABLE EQUATIONS
321
A.4
FIRST-ORDER LINEAR EQUATIONS AND INTEGRATING FACTORS 322
A.5
HOMOGENEOUS EQUATIONS 323
A.6
INHOMOGENEOUS
EQUATIONS 324
B
FURTHER MATHEMATICS
329
B.1
LINEAR ALGEBRA 329
B.2
PARTIAL DERIVATIVES AND TAYLOR EXPANSIONS 332
B.3
REVIEW OF COMPLEX
NUMBERS 335
B.4
HYPERBOLIC FUNCTIONS 335
B.5
INTEGRATION USING PARTIAL FRACTIONS 337
C
NOTES ON MAPLE AND MATLAB
339
C.1
BRIEF INTRODUCTION TO MAPLE 339
C.2
SOLVING DIFFERENTIAL EQUATIONS WITH MAPLE 339
C.3
BRIEF INTRODUCTION
TO MATLAB 341
C.4
SOLVING DIFFERENTIAL EQUATIONS WITH MATLAB 342
D
UNITS AND
SCALING
347
D.1
SCALING DIFFERENTIAL EQUATIONS 347
91
91
92
97
97
99
109
113
120
121
124
129
130
135
138
145
145
148
152
157
161
167
169
171
179
179
179
188
190
193
196
199
9
199
202
205
208
210
214
220
25
25
26
29
34
36
PREFACE
349
351
351
357
361
AIMS
AND OB
THIS BOOK
AIMS
APPLICATION TO A
THE FOCUS IS OI
DIFFERENTIAL EQUAT
DIFFERENT AREAS:
G
PROBLEMS.
THE M
HOWEVER, THE RAN
A
BROAD APPRECIA;
TRANSFERABLE TO M
LAYOUT
THE
BOOK IS DIVID
AND
HEAT TRANSFER
WITHIN
EACH OL
CONSIDERED
AND PI
ASPECTS OF MODELL
EXTEND.
ONE
VERY IMPO
SIMPLER
ONE. TO I
WHERE SOME REALIT
BEING MODELLED.
MODEL
BUILDING P:
AND
CONSEQUENT LI
TION OF RESULTS. T.
STRATEGY.
ANALYSIS
USING
FOLLOWS. UNDERST
CHANGES
IN THE PA
ARE
ENCOURAGED, A
TO
THIS END,
MAPL
VALIDATION OF TH
TO
THE MODELS AN
OF
EACH CHAPTER.
LIMITATIONS
OF A N
LAYOUT
IS PRESENTE
FEATURES
APPLICATIONS AND
THROUGHOUT
TO PN
DERSTANDING OF HO
365
X
D.2
SI
UNITS
E
PARAMETERS
E.1
PARAMETERS
F
ANSWERS
AND
HINTS
REFERENCES
INDEX |
| any_adam_object | 1 |
| author | Barnes, Belinda Fulford, Glenn |
| author_facet | Barnes, Belinda Fulford, Glenn |
| author_role | aut aut |
| author_sort | Barnes, Belinda |
| author_variant | b b bb g f gf |
| building | Verbundindex |
| bvnumber | BV042386916 |
| classification_rvk | SK 540 SK 920 SK 950 |
| ctrlnum | (OCoLC)915581046 (DE-599)BVBBV042386916 |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV042386916 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T07:06:02Z |
| institution | BVB |
| isbn | 9781482247725 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027822877 |
| oclc_num | 915581046 |
| open_access_boolean | |
| owner | DE-83 DE-634 DE-862 DE-BY-FWS DE-523 |
| owner_facet | DE-83 DE-634 DE-862 DE-BY-FWS DE-523 |
| physical | XVII, 372 S. graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Textbooks in mathematics A Chapman & Hall book |
| spellingShingle | Barnes, Belinda Fulford, Glenn Mathematical modelling with case studies using Maple and MATLAB Algebraische Differentialgleichung (DE-588)4001158-6 gnd MATLAB (DE-588)4329066-8 gnd Maple Programm (DE-588)4209397-1 gnd |
| subject_GND | (DE-588)4001158-6 (DE-588)4329066-8 (DE-588)4209397-1 |
| title | Mathematical modelling with case studies using Maple and MATLAB |
| title_auth | Mathematical modelling with case studies using Maple and MATLAB |
| title_exact_search | Mathematical modelling with case studies using Maple and MATLAB |
| title_full | Mathematical modelling with case studies using Maple and MATLAB B. Barnes and G. R. Fulford |
| title_fullStr | Mathematical modelling with case studies using Maple and MATLAB B. Barnes and G. R. Fulford |
| title_full_unstemmed | Mathematical modelling with case studies using Maple and MATLAB B. Barnes and G. R. Fulford |
| title_short | Mathematical modelling with case studies |
| title_sort | mathematical modelling with case studies using maple and matlab |
| title_sub | using Maple and MATLAB |
| topic | Algebraische Differentialgleichung (DE-588)4001158-6 gnd MATLAB (DE-588)4329066-8 gnd Maple Programm (DE-588)4209397-1 gnd |
| topic_facet | Algebraische Differentialgleichung MATLAB Maple Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027822877&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT barnesbelinda mathematicalmodellingwithcasestudiesusingmapleandmatlab AT fulfordglenn mathematicalmodellingwithcasestudiesusingmapleandmatlab |
Inhaltsverzeichnis
THWS Schweinfurt Zentralbibliothek Lesesaal
| Signatur: |
2000 SK 950 B261(3) |
|---|---|
| Exemplar 1 | ausleihbar Verfügbar Bestellen |