Mathematics and science for exercise and sport: the basics
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Routledge
2008
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XVII, 212 S. graph. Darst. |
| ISBN: | 9780415441698 0415441692 9780415441681 0415441684 9780415468404 041546840X |
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| 245 | 1 | 0 | |a Mathematics and science for exercise and sport |b the basics |c Craig A. Williams, David V. B. James and Cassie Wilson |
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Record in the Search Index
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| adam_text | Titel: Mathematics and science for exercise and sport
Autor: Williams, Craig A.
Jahr: 2008
CONTENTS
List of figures vii
List of tables xi
Preface xiii
Acknowledgements xvii
Parti
Physical states 1
1 Introduction 3
2 Gases 12
3 Liquids 29
4 Solids 51
Part 2
Force, pressure, energy and electricity 65
5 Force and pressure 67
6 Energy 83
7 Electricity 103
Part 3
Scientific transferable skills 117
8 Data analysis 119
9 Numerical calculations 148
10 Report writing 16
0/
Appendix 1 Health questionnaire 191
Appendix 2 Example consent form 195
Appendix 3 Thermal equivalents of oxygen 197
Appendix 4 Scientific journals in exercise and sport 199
Appendix 5 Measurement concepts 201
Key terms 203
Index 210
FIGURES
3.1 The relationship between depth and pressure in a stationary liquid 32
3.2 The principle of a barometer 33
3.3 A hydrometer, an instrument used for measuring the specific gravity
of a liquid 36
3.4 The relationship between pressure in a flowing liquid and the pressure
gradient 37
3.5 Schematic showing the variables that affect the rate of flow of a liquid
through a tube 38
3.6 The pH scale and related values 43
3.7 Blood speed and pressure in an obstructed artery 47
4.1 Increased internal energy of a solid through heating 53
4.2 The four types of crystal 57
4.3 The heat balance of the human body through heat gain and heat loss 58
5.1 Composing forces with the parallelogram technique 72
5.2 Force measurement in vertical and two horizontal planes with a
force plate 73
5.3 A manometer 73
5.4 An isokinetic dynamometer 76
5.5 The torque-angle relationship during maximal voluntary isometric
contractions of the knee extensor muscles 76
5.6 The torque-angular velocity relationship during maximal voluntary
knee extension exercise 77
5.7 Typical force traces recorded for a running trial in vertical (a) and
horizontal (b and c) directions with a force plate 78
5.8 An elastic collision between a ball and the ground 79
6.1 Adenosine triphosphate (ATP) which provides the human body with
energy in a form that can be directly used 87
6.2 Work done in dragging a sledge between two points 90
6.3 Power maintained during a range of physical activities in comparison
with other familiar power consumers 92
6.4 Storage of potential energy during the running action whilst the foot is
in contact with the floor 95
6.5 A cycle ergometer used for measuring work done in exercise tests 97
6.6 A power curve over time recorded during cycle ergometry 100
6.7 Schematic of the relationship between energy, work, power and
efficiency 101
7.1 A gold-leaf electroscope showing the effects of a positive potential 106
7.2 The triboelectric series 106
7.3 An electric current circuit 109
7.4 An electrocardiogram (ECG) trace showing the PQRST complex of
electrical activity 113
8.1 Flow diagram of the process of scientific investigation 122
8.2 Histogram showing the frequency of observation of the range of heart
rates 130
8.3 Graphical representation of standard deviation in relation to individual
heart rate observations 134
8.4 Graphical representation of a standard normal curve 136
8.5 Scatter plot of years training against 100 m sprint time 138
Evaluation of statistical errors 141
Area of normal distributions defined as alpha (a) and beta (j3) 142
9.1 A right-angled triangle 150
9.2 Resolving force components 152
9.3 Projectile motion of a ball 155
9.4 Straight line graph 156
9.5 Velocity-time graph 156
9.6 Curved graph with tangent 157
9.7 Constant velocity-time graph 158
9.8 Calculation of displacement: graphical integration 159
9.9 The trapezium rule 160
9.10 Velocity-time traces 161
10.1 Proportion of participants who consider either the swimming, cycling
or running event the most important in an Olympic distance triathlon
(an example of a pie chart) 181
10.2 Proportion of carbohydrate and fat sources during exercise prior to and
following a training intervention (an example of a column chart) 182
10.3 Proportion of fat used during exercise after 2, 4, 6, 8 and 10 weeks of
training (mean and standard deviation) (an example of a bar chart, or
histogram) 182
10.4 Blood glucose concentration during 120 minutes of heavy exercise
following ingestion of either 100 g of carbohydrate (10 % solution) or
placebo 1 hour prior to exercise (mean and standard deviation)
(an example of a line graph) 182
10.5 Relationship between time to exhaustion and blood glucose
concentration after 30 min of exercise (an example of a scatter plot) 183
TABLES
1.1 The seven base SI units 5
1.2 Units derived from the seven base SI units 7
1.3 Symbols for the non-SI units for time 7
1.4 Unit multiples 8
6.1 Typical amount of energy stored within a 70 kg human body
(-15% body fat) in different forms 87
6.2 Amount of various foods that provide 1000 kj 88
8.1 Experimental designs used in the study of exercise and sport 126
8.2 Characteristics of the different types of data 128
8.3 Calculation of descriptive statistics based upon resting heart rate
(HR, beats-min 1) from 30 female participants 129
8.4 Calculation of variance, standard deviation and mean absolute
deviation based upon resting heart rate (HR, beats-min1) from
30 female participants 133
8.5 Calculation of derived values based upon training duration (years)
and performance times (seconds) of male 100 m sprinters 139
10.1 Individual and group training, anthropometric and physiological
characteristics for eight well-trained runners (an example of a table) 181
10.2 A summary of the content of each section of a scientific report 188
|
| adam_txt |
Titel: Mathematics and science for exercise and sport
Autor: Williams, Craig A.
Jahr: 2008
CONTENTS
List of figures vii
List of tables xi
Preface xiii
Acknowledgements xvii
Parti
Physical states 1
1 Introduction 3
2 Gases 12
3 Liquids 29
4 Solids 51
Part 2
Force, pressure, energy and electricity 65
5 Force and pressure 67
6 Energy 83
7 Electricity 103
Part 3
Scientific transferable skills 117
8 Data analysis 119
9 Numerical calculations 148
10 Report writing 16
0/
Appendix 1 Health questionnaire 191
Appendix 2 Example consent form 195
Appendix 3 Thermal equivalents of oxygen 197
Appendix 4 Scientific journals in exercise and sport 199
Appendix 5 Measurement concepts 201
Key terms 203
Index 210
FIGURES
3.1 The relationship between depth and pressure in a stationary liquid 32
3.2 The principle of a barometer 33
3.3 A hydrometer, an instrument used for measuring the specific gravity
of a liquid 36
3.4 The relationship between pressure in a flowing liquid and the pressure
gradient 37
3.5 Schematic showing the variables that affect the rate of flow of a liquid
through a tube 38
3.6 The pH scale and related values 43
3.7 Blood speed and pressure in an obstructed artery 47
4.1 Increased internal energy of a solid through heating 53
4.2 The four types of crystal 57
4.3 The heat balance of the human body through heat gain and heat loss 58
5.1 Composing forces with the parallelogram technique 72
5.2 Force measurement in vertical and two horizontal planes with a
force plate 73
5.3 A manometer 73
5.4 An isokinetic dynamometer 76
5.5 The torque-angle relationship during maximal voluntary isometric
contractions of the knee extensor muscles 76
5.6 The torque-angular velocity relationship during maximal voluntary
knee extension exercise 77
5.7 Typical force traces recorded for a running trial in vertical (a) and
horizontal (b and c) directions with a force plate 78
5.8 An elastic collision between a ball and the ground 79
6.1 Adenosine triphosphate (ATP) which provides the human body with
energy in a form that can be directly used 87
6.2 Work done in dragging a sledge between two points 90
6.3 Power maintained during a range of physical activities in comparison
with other familiar power consumers 92
6.4 Storage of potential energy during the running action whilst the foot is
in contact with the floor 95
6.5 A cycle ergometer used for measuring work done in exercise tests 97
6.6 A power curve over time recorded during cycle ergometry 100
6.7 Schematic of the relationship between energy, work, power and
efficiency 101
7.1 A gold-leaf electroscope showing the effects of a positive potential 106
7.2 The triboelectric series 106
7.3 An electric current circuit 109
7.4 An electrocardiogram (ECG) trace showing the PQRST complex of
electrical activity 113
8.1 Flow diagram of the process of scientific investigation 122
8.2 Histogram showing the frequency of observation of the range of heart
rates 130
8.3 Graphical representation of standard deviation in relation to individual
heart rate observations 134
8.4 Graphical representation of a standard normal curve 136
8.5 Scatter plot of years training against 100 m sprint time 138
Evaluation of statistical errors 141
Area of normal distributions defined as alpha (a) and beta (j3) 142
9.1 A right-angled triangle 150
9.2 Resolving force components 152
9.3 Projectile motion of a ball 155
9.4 Straight line graph 156
9.5 Velocity-time graph 156
9.6 Curved graph with tangent 157
9.7 Constant velocity-time graph 158
9.8 Calculation of displacement: graphical integration 159
9.9 The trapezium rule 160
9.10 Velocity-time traces 161
10.1 Proportion of participants who consider either the swimming, cycling
or running event the most important in an Olympic distance triathlon
(an example of a pie chart) 181
10.2 Proportion of carbohydrate and fat sources during exercise prior to and
following a training intervention (an example of a column chart) 182
10.3 Proportion of fat used during exercise after 2, 4, 6, 8 and 10 weeks of
training (mean and standard deviation) (an example of a bar chart, or
histogram) 182
10.4 Blood glucose concentration during 120 minutes of heavy exercise
following ingestion of either 100 g of carbohydrate (10 % solution) or
placebo 1 hour prior to exercise (mean and standard deviation)
(an example of a line graph) 182
10.5 Relationship between time to exhaustion and blood glucose
concentration after 30 min of exercise (an example of a scatter plot) 183
TABLES
1.1 The seven base SI units 5
1.2 Units derived from the seven base SI units 7
1.3 Symbols for the non-SI units for time 7
1.4 Unit multiples 8
6.1 Typical amount of energy stored within a 70 kg human body
(-15% body fat) in different forms 87
6.2 Amount of various foods that provide 1000 kj 88
8.1 Experimental designs used in the study of exercise and sport 126
8.2 Characteristics of the different types of data 128
8.3 Calculation of descriptive statistics based upon resting heart rate
(HR, beats-min"1) from 30 female participants 129
8.4 Calculation of variance, standard deviation and mean absolute
deviation based upon resting heart rate (HR, beats-min1) from
30 female participants 133
8.5 Calculation of derived values based upon training duration (years)
and performance times (seconds) of male 100 m sprinters 139
10.1 Individual and group training, anthropometric and physiological
characteristics for eight well-trained runners (an example of a table) 181
10.2 A summary of the content of each section of a scientific report 188 |
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| spelling | Williams, Craig A. 1965- Verfasser (DE-588)142166367 aut Mathematics and science for exercise and sport the basics Craig A. Williams, David V. B. James and Cassie Wilson 1. publ. London [u.a.] Routledge 2008 XVII, 212 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Sports sciences / Textbooks Physical sciences / Textbooks Mathematics / Textbooks Mathematik Mathematics Textbooks Physical sciences Textbooks Sports sciences Textbooks Physik (DE-588)4045956-1 gnd rswk-swf Sport (DE-588)4056366-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Sport (DE-588)4056366-2 s Mathematik (DE-588)4037944-9 s DE-604 Physik (DE-588)4045956-1 s James, David V. B. Verfasser aut Wilson, Cassie Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016750521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Williams, Craig A. 1965- James, David V. B. Wilson, Cassie Mathematics and science for exercise and sport the basics Sports sciences / Textbooks Physical sciences / Textbooks Mathematics / Textbooks Mathematik Mathematics Textbooks Physical sciences Textbooks Sports sciences Textbooks Physik (DE-588)4045956-1 gnd Sport (DE-588)4056366-2 gnd Mathematik (DE-588)4037944-9 gnd |
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| title | Mathematics and science for exercise and sport the basics |
| title_auth | Mathematics and science for exercise and sport the basics |
| title_exact_search | Mathematics and science for exercise and sport the basics |
| title_exact_search_txtP | Mathematics and science for exercise and sport the basics |
| title_full | Mathematics and science for exercise and sport the basics Craig A. Williams, David V. B. James and Cassie Wilson |
| title_fullStr | Mathematics and science for exercise and sport the basics Craig A. Williams, David V. B. James and Cassie Wilson |
| title_full_unstemmed | Mathematics and science for exercise and sport the basics Craig A. Williams, David V. B. James and Cassie Wilson |
| title_short | Mathematics and science for exercise and sport |
| title_sort | mathematics and science for exercise and sport the basics |
| title_sub | the basics |
| topic | Sports sciences / Textbooks Physical sciences / Textbooks Mathematics / Textbooks Mathematik Mathematics Textbooks Physical sciences Textbooks Sports sciences Textbooks Physik (DE-588)4045956-1 gnd Sport (DE-588)4056366-2 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Sports sciences / Textbooks Physical sciences / Textbooks Mathematics / Textbooks Mathematik Mathematics Textbooks Physical sciences Textbooks Sports sciences Textbooks Physik Sport Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016750521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT williamscraiga mathematicsandscienceforexerciseandsportthebasics AT jamesdavidvb mathematicsandscienceforexerciseandsportthebasics AT wilsoncassie mathematicsandscienceforexerciseandsportthebasics |