Maxwell's equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ
Wiley [u.a.]
2010
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | XVIII, 290 S. Ill., graph. Darst. |
| ISBN: | 9780470542767 |
Internformat
MARC
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| 035 | |a (DE-599)BVBBV035773554 | ||
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| 100 | 1 | |a Huray, Paul G. |d 1941- |e Verfasser |0 (DE-588)140214313 |4 aut | |
| 245 | 1 | 0 | |a Maxwell's equations |c Paul G. Huray |
| 264 | 1 | |a Hoboken, NJ |b Wiley [u.a.] |c 2010 | |
| 300 | |a XVIII, 290 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Maxwell equations | |
| 650 | 0 | 7 | |a Maxwellsche Gleichungen |0 (DE-588)4221398-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Maxwellsche Gleichungen |0 (DE-588)4221398-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018633198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018633198 | ||
Datensatz im Suchindex
| _version_ | 1804140704548519936 |
|---|---|
| adam_text | Contents
Acknowledgments
xi
Introduction
xiii
1.
Foundations of Maxwell s Equations
1
1.1
Historical Overview
1
1.2
Role of Electromagnetic Field Theory
2
1.3
Electromagnetic Field Quantities
3
1.4
Units and Universal Constants
6
1.5
Precision of Measured Quantities
12
1.6
Introduction to Complex Variables
12
1.7
Phasor Notation
15
1.8
Quaternions
19
1.9
Original Form of Maxwell s Equations
20
Endnotes 22
2.
Vector Analysis
23
Introduction
23
2.1
Addition and Subtraction
23
2.2
Multiplication
26
2.3
Triple Products
29
2.4
Coordinate Systems
30
2.5
Coordinate Transformations
35
2.6
Vector Differentiation
39
2.7
Divergence Theorem
46
2.8
Stokes s Theorem
50
2.9
Laplacian of a Vector Field
51
Endnotes 55
3.
Static Electric Fields
56
Introduction
56
3.1
Properties of Electrostatic Fields
56
3.2
Gauss s Law
58
3.3
Conservation Law
71
vii
viii Contents
3.4
Electric
Potential 72
3.5
Electric
Field for a System of Charges
76
3.6
Electric Potential for a System of Charges
77
3.7
Electric Field for a Continuous Distribution
79
3.8
Conductor in a Static Electric Field
80
3.9
Capacitance
84
3.10
Dielectrics
87
3.11
Electric Flux Density
90
3.12
Dielectric Boundary Conditions
91
3.13
Electrostatic Energy
93
3.14
Electrostatic Field in a Dielectric
98
Endnotes 103
4.
Solution of Electrostatic Problems
104
Introduction
104
4.1
Poisson s and Laplace s Equations
104
4.2
Solutions to Poisson s and Laplace s Equations
106
4.3
Green s Functions
110
4.4
Uniqueness of the Electrostatic Solution
114
4.5
Method of Images
116
5.
Steady Electric Currents
129
Introduction
129
5.1
Current Density and Ohm s Law
129
5.2
Relation to Circuit Parameters
134
5.3
Superconductivity
136
5.4
Free Electron Gas Theory
139
5.5
Band Theory
145
5.6
Equation of Continuity
150
5.7
Microscopic View of Ohm s Law
151
5.8
Power Dissipation and Joule s Law
155
5.9
Boundary Condition for Current Density
155
5.10
Resistance/Capacitance Calculations
157
Endnote 158
6.
Static Magnetic Fields
159
Introduction
159
6.1
Magnetic Force
160
6.2
Magnetostatics in Free Space
161
6.3
Magnetic Vector Potential
165
6.4
The Biot-Savart Law
167
6.5
Historical Conclusions
170
6.6
Atomic Magnetism
171
Contents ix
6.7
Magnetization
182
6.8
Equivalent Surface Current Density
184
6.9
Equivalent Magnetic
Monopole
Charge Density
184
6.10
Magnetic Field Intensity and Permeability
187
6.11
Ferromagnetism
188
6.12
Boundary Conditions for Magnetic Fields
193
6.13
Inductance and Inductors
194
6.14
Torque and Energy
198
Endnotes 202
7.
Time-Varying Fields
203
Introduction
203
7.1
Faraday s Law of Induction
204
7.2
E&M Equations before Maxwell
205
7.3
Maxwell s Displacement Current
206
7.4
Integral Form of Maxwell s Equations
208
7.5
Magnetic Vector Potential
209
7.6
Solution of the Time-Dependent Inhomogeneous Potential
Wave Equations
213
7.7
Electric and Magnetic Field Equations for Source-Free Problems
214
7.8
Solutions for the Homogeneous Wave Equation
215
7.9
Particular Solution for the Inhomogeneous Wave Equation
221
7.10
Time-Harmonic Fields
227
7.11
Electromagnetic Spectrum
228
7.12
Electromagnetic Boundary Conditions
228
7.13
Particular Solution for the Wave Equation with Inhomogeneous
Boundary Conditions
236
7.14
Memristors
238
7.15
Electric Vector Potential
241
Endnotes 246
Appendix A: Measurement Errors
247
Appendix B: Graphics and
Conformai
Mapping
260
Appendix C: Vectors, Matrices, Orthogonal Functions
274
Bibliography
285
Index
287
|
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| author | Huray, Paul G. 1941- |
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| id | DE-604.BV035773554 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:13Z |
| institution | BVB |
| isbn | 9780470542767 |
| language | English |
| lccn | 2009019340 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018633198 |
| oclc_num | 320799894 |
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| owner | DE-703 DE-634 DE-20 |
| owner_facet | DE-703 DE-634 DE-20 |
| physical | XVIII, 290 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Wiley [u.a.] |
| record_format | marc |
| spelling | Huray, Paul G. 1941- Verfasser (DE-588)140214313 aut Maxwell's equations Paul G. Huray Hoboken, NJ Wiley [u.a.] 2010 XVIII, 290 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references Maxwell equations Maxwellsche Gleichungen (DE-588)4221398-8 gnd rswk-swf Maxwellsche Gleichungen (DE-588)4221398-8 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018633198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Huray, Paul G. 1941- Maxwell's equations Maxwell equations Maxwellsche Gleichungen (DE-588)4221398-8 gnd |
| subject_GND | (DE-588)4221398-8 |
| title | Maxwell's equations |
| title_auth | Maxwell's equations |
| title_exact_search | Maxwell's equations |
| title_full | Maxwell's equations Paul G. Huray |
| title_fullStr | Maxwell's equations Paul G. Huray |
| title_full_unstemmed | Maxwell's equations Paul G. Huray |
| title_short | Maxwell's equations |
| title_sort | maxwell s equations |
| topic | Maxwell equations Maxwellsche Gleichungen (DE-588)4221398-8 gnd |
| topic_facet | Maxwell equations Maxwellsche Gleichungen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018633198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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