The language of physics: a foundations for university study
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2008
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 225 S. Ill. |
| ISBN: | 9780199533800 9780199533794 |
Staff View
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| 100 | 1 | |a Cullerne, John P. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The language of physics |b a foundations for university study |c John P. Cullerne ; Anton Machacek |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2008 | |
| 300 | |a XIV, 225 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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Record in the Search Index
| _version_ | 1804137639907950592 |
|---|---|
| adam_text | Contents
Linear mechanics
1
1.1
Kinematics
1
1.1.1
The law of falling bodies
1
1.1.2
The kinematics of falling bodies
4
1.1.3
Workshop: Simple differential equations
9
1.1.4
The kinematics of a projectile
11
1.1.5
Workshop: Motion on the surface of a smooth
inclined plane
14
1.1.6
Adding and subtracting vectors
15
1.2
Dynamics
17
1.2.1
Newton s laws
17
1.2.2
The principle of relativity
21
1.2.3
Impulse and impulsive forces
22
1.2.4
Workshop: The conservation of linear momentum
23
1.2.5
The law of falling bodies
25
1.2.6
Workshop: Newton and the apple
26
1.3
Conclusion
27
Fields
29
2.1
Introduction and field strength
29
2.2
Workshop: Motion in a uniform field in one dimension
30
2.3
Workshop: Scalar product of vectors
32
2.4
Workshop: Motion in a uniform field in three dimensions
34
2.5
Non-uniform fields
36
2.6
Workshop: Evaluating line integrals
37
2.7
Potential gradients
39
2.8
Setting up a field
44
2.8.1
Workshop: The electrostatic field surrounding a
charged wire
47
2.8.2
Electrostatic charge in a parallel plate capacitor
48
2.8.3
Gravitational fields inside planets
50
2.8.4
Formalizing the notation
51
2.9
Conclusion
53
xü Contents
3 Rotation 54
3.1
Rotational kinematics and dynamics
54
3.1.1
Kinematics on a circular path
54
3.1.2
Workshop: Rotated coordinate systems and matrices
56
3.1.3
Workshop: Rotating vectors and the vector product
58
3.1.4
Angular velocity
59
3.1.5
Workshop: Vector triple product
61
3.1.6
Acceleration vectors in rotating frames
62
3.1.7
Fictitious force : Centrifugal and Coriolis forces
64
3.2
Orbits
66
3.2.1
The Kepler problem
66
3.2.2
Kepler s first law and properties of
(<ŕ/dŕ)r
70
3.2.3
Workshop: Kepler s second law
74
3.2.4
Workshop: Kepler s third law
75
3.3
Conclusion
77
4
Oscillations and waves
78
4.1
Describing an oscillation
78
4.1.1
Workshop: Simple harmonic motion
80
4.2
Workshop: Introducing complex numbers
81
4.3
Describing an oscillation using complex numbers
84
4.4
Workshop: Damped oscillators
85
4.5
Describing a wave in one dimension
86
4.6
Interference
-
a brief introduction
87
4.7
Workshop: The wave equation
89
4.8
A wave on a string
89
4.9
Energy content of a wave
91
4.10
Impedance matching
92
4.11
Describing waves in three dimensions
94
4.11.1
Plane waves
94
4.11.2
Spherical waves
95
4.11.3
Workshop: Stellar magnitudes
96
4.12
Conclusion
97
5
Circuits
98
5.1
Fundamentals
98
5.1.1
Electric current
99
5.1.2
Electric potential
100
5.1.3
Workshop: Using voltage to solve simple circuit problems
101
5.1.4
Ohm s law and resistance
101
5.2
Direct current circuit analysis
102
ľ>.2.
1
Analysis using fundamental principles
ЮЗ
5.2.2
Method of loop currents
104
Contents xiii
5.3
Introducing alternating current
105
5.3.1
Resistors
106
5.3.2
Power in a.c. circuits and rms values
106
5.3.3
Capacitors
108
5.3.4
Inductors
109
5.3.5
Sign conventions
109
5.3.6
Phasor methods in a.c. analysis
109
5.4
Alternating current circuit analysis 111
5.4.1
Analysis using impedances
112
5.4.2
Analysis using a phasor
114
5.5
Conclusion
115
Thermal physics
116
6.1
The conservation of energy: The first law
116
6.2
The second law
117
6.3
Carnot s theorem
118
6.3.1
Heat engines and fridges
118
6.3.2
Thermodynamic temperature
121
6.3.3
Efficiency of a heat engine
122
6.4
Entropy
123
6.4.1
Reversible processes
123
6.4.2
Irreversible processes and the second law
124
6.4.3
Restatement of first law
125
6.5
The Boltzmann law
125
6.5.1
Workshop: Atmospheric pressure
125
6.5.2
Velocity distribution of molecules in a gas
126
6.5.3
Workshop: Justification of Boltzmann law
127
6.6
Perfect gases
129
6.6.1
Heat capacity of a perfect gas
130
6.6.2
Pumping heat
131
6.7
Conclusion
135
7
Miscellany
136
7.1
Workshop: Setting up integrals
136
7.2
Workshop: Logarithms
138
7.3
Workshop: Rockets and stages
140
7.4
Workshop: Unit conversion
143
7.5
Workshop: Dimensional analysis
144
7.6
Workshop: Error analysis
147
7.7
Workshop: Centres of mass
150
7.8
Workshop: Rigid body dynamics
152
7.9
Workshop: Parallel axes theorem
155
xiv Contents
7.10 Workshop:
Perpendicular
axes theorem
157
7.11
Workshop: Orbital energy and orbit classification
159
8
Summary of equations
162
8.1
Linear mechanics
162
8.2
Fields
163
8.3
Rotation
165
8.4
Waves
167
8.5
Circuits
169
8.6
Thermal physics
170
Workshop solutions
172
Chapter
1 172
Chapter
2 178
Chapter
3 181
Chapter
4 188
Chapter
5 197
Chapter
6 198
Chapter
7 203
Index
223
|
| adam_txt |
Contents
Linear mechanics
1
1.1
Kinematics
1
1.1.1
The law of falling bodies
1
1.1.2
The kinematics of falling bodies
4
1.1.3
Workshop: Simple differential equations
9
1.1.4
The kinematics of a projectile
11
1.1.5
Workshop: Motion on the surface of a smooth
inclined plane
14
1.1.6
Adding and subtracting vectors
15
1.2
Dynamics
17
1.2.1
Newton's laws
17
1.2.2
The principle of relativity
21
1.2.3
Impulse and impulsive forces
22
1.2.4
Workshop: The conservation of linear momentum
23
1.2.5
The law of falling bodies
25
1.2.6
Workshop: Newton and the apple
26
1.3
Conclusion
27
Fields
29
2.1
Introduction and field strength
29
2.2
Workshop: Motion in a uniform field in one dimension
30
2.3
Workshop: Scalar product of vectors
32
2.4
Workshop: Motion in a uniform field in three dimensions
34
2.5
Non-uniform fields
36
2.6
Workshop: Evaluating line integrals
37
2.7
Potential gradients
39
2.8
Setting up a field
44
2.8.1
Workshop: The electrostatic field surrounding a
charged wire
47
2.8.2
Electrostatic charge in a parallel plate capacitor
48
2.8.3
Gravitational fields inside planets
50
2.8.4
Formalizing the notation
51
2.9
Conclusion
53
xü Contents
3 Rotation 54
3.1
Rotational kinematics and dynamics
54
3.1.1
Kinematics on a circular path
54
3.1.2
Workshop: Rotated coordinate systems and matrices
56
3.1.3
Workshop: Rotating vectors and the vector product
58
3.1.4
Angular velocity
59
3.1.5
Workshop: Vector triple product
61
3.1.6
Acceleration vectors in rotating frames
62
3.1.7
'Fictitious force': Centrifugal and Coriolis forces
64
3.2
Orbits
66
3.2.1
The Kepler problem
66
3.2.2
Kepler's first law and properties of
(<ŕ/dŕ)r
70
3.2.3
Workshop: Kepler's second law
74
3.2.4
Workshop: Kepler's third law
75
3.3
Conclusion
77
4
Oscillations and waves
78
4.1
Describing an oscillation
78
4.1.1
Workshop: Simple harmonic motion
80
4.2
Workshop: Introducing complex numbers
81
4.3
Describing an oscillation using complex numbers
84
4.4
Workshop: Damped oscillators
85
4.5
Describing a wave in one dimension
86
4.6
Interference
-
a brief introduction
87
4.7
Workshop: The wave equation
89
4.8
A wave on a string
89
4.9
Energy content of a wave
91
4.10
Impedance matching
92
4.11
Describing waves in three dimensions
94
4.11.1
Plane waves
94
4.11.2
Spherical waves
95
4.11.3
Workshop: Stellar magnitudes
96
4.12
Conclusion
97
5
Circuits
98
5.1
Fundamentals
98
5.1.1
Electric current
99
5.1.2
Electric potential
100
5.1.3
Workshop: Using voltage to solve simple circuit problems
101
5.1.4
Ohm's law and resistance
101
5.2
Direct current circuit analysis
102
ľ>.2.
1
Analysis using fundamental principles
ЮЗ
5.2.2
Method of loop currents
104
Contents xiii
5.3
Introducing alternating current
105
5.3.1
Resistors
106
5.3.2
Power in a.c. circuits and rms values
106
5.3.3
Capacitors
108
5.3.4
Inductors
109
5.3.5
Sign conventions
109
5.3.6
Phasor methods in a.c. analysis
109
5.4
Alternating current circuit analysis 111
5.4.1
Analysis using impedances
112
5.4.2
Analysis using a phasor
114
5.5
Conclusion
115
Thermal physics
116
6.1
The conservation of energy: The first law
116
6.2
The second law
117
6.3
Carnot's theorem
118
6.3.1
Heat engines and fridges
118
6.3.2
Thermodynamic temperature
121
6.3.3
Efficiency of a heat engine
122
6.4
Entropy
123
6.4.1
Reversible processes
123
6.4.2
Irreversible processes and the second law
124
6.4.3
Restatement of first law
125
6.5
The Boltzmann law
125
6.5.1
Workshop: Atmospheric pressure
125
6.5.2
Velocity distribution of molecules in a gas
126
6.5.3
Workshop: Justification of Boltzmann law
127
6.6
Perfect gases
129
6.6.1
Heat capacity of a perfect gas
130
6.6.2
Pumping heat
131
6.7
Conclusion
135
7
Miscellany
136
7.1
Workshop: Setting up integrals
136
7.2
Workshop: Logarithms
138
7.3
Workshop: Rockets and stages
140
7.4
Workshop: Unit conversion
143
7.5
Workshop: Dimensional analysis
144
7.6
Workshop: Error analysis
147
7.7
Workshop: Centres of mass
150
7.8
Workshop: Rigid body dynamics
152
7.9
Workshop: Parallel axes theorem
155
xiv Contents
7.10 Workshop:
Perpendicular
axes theorem
157
7.11
Workshop: Orbital energy and orbit classification
159
8
Summary of equations
162
8.1
Linear mechanics
162
8.2
Fields
163
8.3
Rotation
165
8.4
Waves
167
8.5
Circuits
169
8.6
Thermal physics
170
Workshop solutions
172
Chapter
1 172
Chapter
2 178
Chapter
3 181
Chapter
4 188
Chapter
5 197
Chapter
6 198
Chapter
7 203
Index
223 |
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| ctrlnum | (OCoLC)209815754 (DE-599)BVBBV023307682 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
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| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV023307682 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:49:09Z |
| indexdate | 2024-07-09T21:15:30Z |
| institution | BVB |
| isbn | 9780199533800 9780199533794 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016492021 |
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| physical | XIV, 225 S. Ill. |
| publishDate | 2008 |
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| publisher | Oxford Univ. Press |
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| spelling | Cullerne, John P. Verfasser aut The language of physics a foundations for university study John P. Cullerne ; Anton Machacek 1. publ. Oxford [u.a.] Oxford Univ. Press 2008 XIV, 225 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematische Physik Mathematical physics Mathematical physics Problems, exercises, etc Physik (DE-588)4045956-1 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Mathematische Methode (DE-588)4155620-3 s Physik (DE-588)4045956-1 s DE-604 Machacek, Anton Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016492021&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cullerne, John P. Machacek, Anton The language of physics a foundations for university study Mathematische Physik Mathematical physics Mathematical physics Problems, exercises, etc Physik (DE-588)4045956-1 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4155620-3 (DE-588)4151278-9 |
| title | The language of physics a foundations for university study |
| title_auth | The language of physics a foundations for university study |
| title_exact_search | The language of physics a foundations for university study |
| title_exact_search_txtP | The language of physics a foundations for university study |
| title_full | The language of physics a foundations for university study John P. Cullerne ; Anton Machacek |
| title_fullStr | The language of physics a foundations for university study John P. Cullerne ; Anton Machacek |
| title_full_unstemmed | The language of physics a foundations for university study John P. Cullerne ; Anton Machacek |
| title_short | The language of physics |
| title_sort | the language of physics a foundations for university study |
| title_sub | a foundations for university study |
| topic | Mathematische Physik Mathematical physics Mathematical physics Problems, exercises, etc Physik (DE-588)4045956-1 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Mathematische Physik Mathematical physics Mathematical physics Problems, exercises, etc Physik Mathematische Methode Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016492021&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cullernejohnp thelanguageofphysicsafoundationsforuniversitystudy AT machacekanton thelanguageofphysicsafoundationsforuniversitystudy |