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Mathematical Methods of Electromagnetic Theory
 

Notes prepared with the assistance of David Isaacson, Rensselaer Polytechnic Institute, Troy, NY

A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
Mathematical Methods of Electromagnetic Theory
Softcover ISBN:  978-1-4704-1711-6
Product Code:  CLN/25
List Price: $37.00
MAA Member Price: $33.30
AMS Member Price: $29.60
eBook ISBN:  978-1-4704-1996-7
Product Code:  CLN/25.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $27.20
Softcover ISBN:  978-1-4704-1711-6
eBook: ISBN:  978-1-4704-1996-7
Product Code:  CLN/25.B
List Price: $71.00 $54.00
MAA Member Price: $63.90 $48.60
AMS Member Price: $56.80 $43.20
Mathematical Methods of Electromagnetic Theory
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Mathematical Methods of Electromagnetic Theory

Notes prepared with the assistance of David Isaacson, Rensselaer Polytechnic Institute, Troy, NY

A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
Softcover ISBN:  978-1-4704-1711-6
Product Code:  CLN/25
List Price: $37.00
MAA Member Price: $33.30
AMS Member Price: $29.60
eBook ISBN:  978-1-4704-1996-7
Product Code:  CLN/25.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $27.20
Softcover ISBN:  978-1-4704-1711-6
eBook ISBN:  978-1-4704-1996-7
Product Code:  CLN/25.B
List Price: $71.00 $54.00
MAA Member Price: $63.90 $48.60
AMS Member Price: $56.80 $43.20
  • Book Details
     
     
    Courant Lecture Notes
    Volume: 252014; 145 pp
    MSC: Primary 78; 35;

    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 modern vector calculus.

    Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

    Readership

    Undergraduate students, graduate students, and research mathematicians interested in electromagnetics.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Preliminaries
    • Chapter 2. Electrostatics
    • Chapter 3. Currents and Ohm’s law
    • Chapter 4. Magnetostatics
    • Chapter 5. Electromagnetic fields changing in time
    • Chapter 6. Transmission lines. Method of the Laplace transformation
    • Chapter 7. Electromagnetodynamics of moving bodies and the principle of relativity
    • Chapter 8. Electromagnetic wave propagation
    • Chapter 9. The scattering problem
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 252014; 145 pp
MSC: Primary 78; 35;

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 modern vector calculus.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Readership

Undergraduate students, graduate students, and research mathematicians interested in electromagnetics.

  • Chapters
  • Chapter 1. Preliminaries
  • Chapter 2. Electrostatics
  • Chapter 3. Currents and Ohm’s law
  • Chapter 4. Magnetostatics
  • Chapter 5. Electromagnetic fields changing in time
  • Chapter 6. Transmission lines. Method of the Laplace transformation
  • Chapter 7. Electromagnetodynamics of moving bodies and the principle of relativity
  • Chapter 8. Electromagnetic wave propagation
  • Chapter 9. The scattering problem
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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