Mathematical methods of electromagnetic theory
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Courant Inst. of Math. Sciences [u.a.]
2014
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| Schriftenreihe: | Courant lecture notes in mathematics
25 |
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| Online-Zugang: | Klappentext Inhaltsverzeichnis |
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| 100 | 1 | |a Friedrichs, Kurt O. |d 1901-1982 |0 (DE-588)118820265 |4 aut | |
| 245 | 1 | 0 | |a Mathematical methods of electromagnetic theory |c Kurt O. Friedrichs |
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Datensatz im Suchindex
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| _version_ | 1823055604683374592 |
| adam_text | This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforward explanation of how to use variational principles to solve problems in electro- and magnetostatics, and (c) a thorough discussion of the central importance of the conservation of charge. It is suitable for advanced undergraduate students in mathematics and physics with a background in advanced calculus and linear algebra, as well as mechanics and electromagnetics at an undergraduate level. Apart from minor corrections to the text, the notation was updated in this edition to follow the conventions of modem vector calculus.
For additional information and updates on this book, visit
www.ams.org/bookpages/cl n - 25
Contents
R
Foreword vii
Introduction ix
Chapter 1. Preliminaries 1
1.1. Notions of Vector Analysis 1
1.2. Notions of Mechanics 4
Chapter 2. Electrostatics 7
2.1. The Electric Field 7
2.2. Fields Generated by Lines, Surfaces, and Space Regions 12
2.3. Differential Laws of Electrostatics 20
2.4. Dielectric Media 24
2.5. Conductors 28
2.6. Boundary Problems 32
2.7. Potential Energy 36
2.8. Two-Dimensional Problems of Electrostatics 40
2.9. The Electric Field Outside a Cylinder 44
Chapter 3. Currents and Ohm’s Law 49
3.1. Currents 49
3.2. Resistive Conductors. Ohm’s Law. 52
Chapter 4. Magnetostatics 59
Chapter 5. Electromagnetic Fields Changing in Time 71
5.1. The Basic Laws of Electromagnetism 71
5.2. Magnetic Inductions 75
5.3. Pre-Maxwellian Magnetic Induction 77
5.4. Inductance 79
5.5. Special Induction Loops 81
Chapter 6. Transmission Lines. Method of the Laplace Transformation 87
6.1. Transmission Lines 87
6.2. Undistorted Transmission 90
6.3. The Method of Laplace Transformation 92
6.4. Special Transmission Problems 95
6.5. Extensions of the Method of Laplace Transformations 101
6.6. Heaviside Calculus 103
V
VI
CONTENTS
Chapter 7. Electromagnetodynamics of Moving Bodies
and the Principle of Relativity 107
7.1. Extended Magnetic Induction 107
7.2. Maxwell’s Equations with Reference
to a Moving Coordinate System 109
7.3. Maxwell’s Equations in Covariant Form 111
7.4. The Principle of Relativity 116
Chapter 8. Electromagnetic Wave Propagation 119
8.1. Propagation with Finite Speed 119
8.2. Initial Value Problems 121
8.3. Huygens’ Principle 125
8.4. Electromagnetic Potentials 126
8.5. The Radiation Problem 128
Chapter 9. The Scattering Problem 135
9.1. Bundles and Packets of Plane Waves 135
9.2. Scattering Induced by a Conductor 136
9.3. Scattering of Electromagnetic Waves 140
References 145
|
| any_adam_object | 1 |
| author | Friedrichs, Kurt O. 1901-1982 |
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| author_role | aut |
| author_sort | Friedrichs, Kurt O. 1901-1982 |
| author_variant | k o f ko kof |
| building | Verbundindex |
| bvnumber | BV042289682 |
| classification_rvk | UH 1000 ZN 3240 |
| ctrlnum | (OCoLC)900965059 (DE-599)BVBBV042289682 |
| dewey-full | 537.10151 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537.10151 |
| dewey-search | 537.10151 |
| dewey-sort | 3537.10151 |
| dewey-tens | 530 - Physics |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9781470417116 |
| language | English |
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| physical | X, 145 S. |
| publishDate | 2014 |
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| publisher | Courant Inst. of Math. Sciences [u.a.] |
| record_format | marc |
| series | Courant lecture notes in mathematics |
| series2 | Courant lecture notes in mathematics |
| spellingShingle | Friedrichs, Kurt O. 1901-1982 Mathematical methods of electromagnetic theory Courant lecture notes in mathematics Mathematische Methode (DE-588)4155620-3 gnd Elektromagnetismus (DE-588)4014306-5 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4014306-5 (DE-588)4123623-3 |
| title | Mathematical methods of electromagnetic theory |
| title_auth | Mathematical methods of electromagnetic theory |
| title_exact_search | Mathematical methods of electromagnetic theory |
| title_full | Mathematical methods of electromagnetic theory Kurt O. Friedrichs |
| title_fullStr | Mathematical methods of electromagnetic theory Kurt O. Friedrichs |
| title_full_unstemmed | Mathematical methods of electromagnetic theory Kurt O. Friedrichs |
| title_short | Mathematical methods of electromagnetic theory |
| title_sort | mathematical methods of electromagnetic theory |
| topic | Mathematische Methode (DE-588)4155620-3 gnd Elektromagnetismus (DE-588)4014306-5 gnd |
| topic_facet | Mathematische Methode Elektromagnetismus Lehrbuch |
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