Mathematical and biological interrelations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
1977
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 319 S. graph. Darst. |
| ISBN: | 0471994847 |
Internformat
MARC
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| 100 | 1 | |a Dudley, Brian A. C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical and biological interrelations |c Brian A. C. Dudley |
| 264 | 1 | |a Chichester [u.a.] |b Wiley |c 1977 | |
| 300 | |a X, 319 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Biomathématiques | |
| 650 | 7 | |a Biometrie |2 gtt | |
| 650 | 7 | |a Faculteit der Wiskunde en Natuurwetenschappen (Nijmegen) |2 gtt | |
| 650 | 4 | |a Biomathematics | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Biologie |0 (DE-588)4006851-1 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804116483253469184 |
|---|---|
| adam_text | Contents
1. MEASUREMENTS OF ONE VARIABLE 1
Introduction 1
1. Presenting measurements of a single variable 4
a. Block diagram 4
b. Block graph 7
c. Bar chart 8
d. line diagram 10
e. Re diagram (pie chart or circular graph) 13
2. MEASUREMENTS OF TWO VARIABLES 21
Introduction 21
1. Presenting measurements of two variables 22
a. Arrow diagram 22
b. Cartesian graph 22
c. Frequency diagram 26
d. Histogram 31
i. Population studies 34
e. Scatter diagram 40
3. POSITIVE DIRECT PROPORTION 52
Introduction 52
1. The arrow diagram 52
2. The cartesian graph 55
3. The ratio 57
4. Equivalent ratios 60
5. Constants 64
6. The Respiratory quotient 69
7. Population size 71
8. Population dynamics 74
9. The enzyme—substrate complex 78
10. Extrapolation 80
vi
4. NEGATIVE DIRECT PROPORTION 84
Introduction 84
1. The arrow diagram 84
2. The cartesian graph 85
3. The ratio 87
4. Equivalent ratios 87
5. Estimation of the size of fish populations 91
6. Metabolic rate 97
5. INVERSE PROPORTION 103
Introduction 103
1. The arrow diagram 103
2. The cartesian graph 106
3. Fluoride concentration and tooth decay 107
4. The algebra of an inverse proportion 108
5. Interpreting inverse proportions in biology 110
a. Interpreting a scatter diagram 110
b. Adjusting the strengths of solutions 110
c. Distance perception 112
d. Hydrogen ion concentration 114
e. Surface area/volume ratio 118
6. SIZE AND THE SCALE FACTOR OF ENLARGEMENT 121
Introduction 121
1. The centre of enlargement 122
2. The scale factor of enlargement 125
a. Drawings and photographs 126
b. Hand lenses 126
c. Microscopes 126
3. A use for the scale factor of enlargement 129
4. The constant ratios of any one shape 129
5. The shape of Limpet shells 131
7. GROWTH AND SIZE 136
1. Locusts 136
2. Ratios in biological keys 137
3. Growth of areas 137
4. The inverse square law 138
5. Growth in volumes 141
a. Growth of animals 142
6. Superposition of identical shapes 144
7. Alternative arrangements of superimposed shapes 148
a. Equal angles 149
8. Trigonometry 151
8. SORTING AND CLASSIFYING 154
1. Natural classification 154
vii
2. Alternative representations of sets and subsets 155
a. The Venn diagram 155
b. The Tree diagram 156
c. Set notation 157
3. Identification of specimens 158
4. Sets which overlap—the intersection set 160
5. Sets which unite—the union set 162
6. Dinosaurs: an exercise in sorting and representing sets 163
a. The representation of the sets portrayed 164
i. What main types of fossil reptiles are represented? 164
ii. Which animals walked on all four legs? 165
Hi. Which animals ate plants? 168
iv. Which animals ate flesh? 169
v. Which were bird hipped dinosaurs, and which were lizard hipped
dinosaurs? 170
b. The intersection of sets 172
i. What did the two kinds of dinosaur eat? 172
ii What are the relationships between the quadrupeds and the food
eaten and the types of hip? 174
c. The union of sets 176
d. The intersection and the union of sets 176
i. Which dinosaurs lived when ? 177
ii. Non dinosaurs 183
e. Review 183
9. PERMUTATION AND COMBINATION 186
Introduction 186
1. Permutations without repeats—feeding a gerbil 189
2. Combinations 192
3. Permutations with repeats 197
4. The magnitude of genetic variety by reassorting whole chromosomes . 200
5. The F2 phenotype ratio 203
6. Review 211
10. GENETICS AND THE CARTESIAN PRODUCT 214
1. Mendelian genetics 214
a. Introduction 214
b. The inheritance of a single character 215
c. The inheritance of two characters 217
d. Multiple alleles 219
e. Sex linkage 221
/. A cross between a red eyed male and a white eyed female . . . 221
ii. A cross between a white eyed male and a heterogametic female . 222
Hi. A cross between a white eyed male and a pure bred red eyed
female 222
iv. A cross between a red eyed male and a heterogametic female . . 223
f. Linkage 223
viii
2. Population genetics 225
a. Introduction 225
b. Hie Hardy—Weinberg law (two alleles) 226
c. The Hardy—Weinberg law (multiple alleles) 227
d. Some uses of the Hardy—Weinberg law 229
3. Probability— and two of its rules 232
4. Expectations arising from probabilities 235
11. GRAPHICAL ANALYSIS AND EXPONENTIAL RELATIONS .... 238
Introduction 238
1. linear growth 239
2. Exponential growth — a simple introductory model 244
3. A useful feature of an exponential relationship 245
4. A second useful feature of an exponential relationship 249
5. The musical scale 251
6. Some exponential series in biology 256
a. Successive doubling of the independent variable 256
b. The Qio rule 256
c. pH revisited 261
7. Exponential decrease — successive dilution 264
12. EXPONENTIAL GROWTH AND DECAY 270
Introduction 270
1. Effect of mortality on population growth 270
2. Effect of randomly timed reproduction on population growth . . . . 274
3. Some important terms 275
a. Mean generation time 275
b. Specific growth rate 276
c. Percentage growth rate 276
4. The mathematical expression of exponential population growth . . . 276
5. The growth constant 278
6. Changing the base of a logarithm to help calculation 280
7. Calculating the mean generation time 281
a. From the equation of the growth constant 281
b. From the geometry of enlargement 282
c. From a simple empirical formula 283
d. Directly from a plot of raw data on linear—logarithmic graph paper . 287
8. Growth of human populations 288
9. Exponential decrease 289
10. Radioactive decay 292
APPENDIX I. SOME RULES OF INDICES 296
APPENDIX II. CALC ULATING THE BEST STRAIGHT LINE THROUGH A
SET OF POINTS (A REGRESSION LINE) 299
INDEX 303
|
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| dewey-tens | 570 - Biology |
| discipline | Biologie |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:13Z |
| institution | BVB |
| isbn | 0471994847 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001329159 |
| oclc_num | 2965117 |
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| owner_facet | DE-91G DE-BY-TUM DE-20 DE-83 DE-188 |
| physical | X, 319 S. graph. Darst. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Wiley |
| record_format | marc |
| spelling | Dudley, Brian A. C. Verfasser aut Mathematical and biological interrelations Brian A. C. Dudley Chichester [u.a.] Wiley 1977 X, 319 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Biomathématiques Biometrie gtt Faculteit der Wiskunde en Natuurwetenschappen (Nijmegen) gtt Biomathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Mathematik (DE-588)4037944-9 s Biologie (DE-588)4006851-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001329159&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dudley, Brian A. C. Mathematical and biological interrelations Biomathématiques Biometrie gtt Faculteit der Wiskunde en Natuurwetenschappen (Nijmegen) gtt Biomathematics Mathematik (DE-588)4037944-9 gnd Biologie (DE-588)4006851-1 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4006851-1 |
| title | Mathematical and biological interrelations |
| title_auth | Mathematical and biological interrelations |
| title_exact_search | Mathematical and biological interrelations |
| title_full | Mathematical and biological interrelations Brian A. C. Dudley |
| title_fullStr | Mathematical and biological interrelations Brian A. C. Dudley |
| title_full_unstemmed | Mathematical and biological interrelations Brian A. C. Dudley |
| title_short | Mathematical and biological interrelations |
| title_sort | mathematical and biological interrelations |
| topic | Biomathématiques Biometrie gtt Faculteit der Wiskunde en Natuurwetenschappen (Nijmegen) gtt Biomathematics Mathematik (DE-588)4037944-9 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Biomathématiques Biometrie Faculteit der Wiskunde en Natuurwetenschappen (Nijmegen) Biomathematics Mathematik Biologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001329159&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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