Mathematical Foundations For Electromagnetic Theory
暫譯: 電磁理論的數學基礎

Donald G. Dudley

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Electrical Engineering/Electromagnetics Mathematical Foundations for Electromagnetic Theory A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor This volume in the series lays the mathematical foundations for the study of advanced topics in electromagnetic theory. Important subjects covered include linear spaces, Green’s functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. You will find these key features:

  • Introduction to modern linear analysis and linear operators
  • Solution to Sturm-Liouville problems using Green’s functions and spectral expansions
  • Natural transforms and series expansions specific to a wide range of differential operators and associated boundary conditions
  • Useful alternative representations for canonical electromagnetic sources
  • Applications to electromagnetic boundary value problems

This book will be of interest to graduate-level students in engineering, electromagnetics, physics, and applied mathematics, as well as to research engineers, physicists, and scientists. Also in the series… Radiation and Scattering of Waves An IEEE Press Classic Reissue Leopold B. Felsen and Nathan Marcuvitz 1994 Hardcover 928 pp Dyadic Green Functions in Electromagnetic Theory Second Edition Chen- To Tai, University of Michigan 1994 Hardcover 360 pp Field Theory of Guided Waves Second Edition Robert E. Collin, Case Western Reserve University 1991 Hardcover 864 pp About the series Formerly the IEEE Press Series on Electromagnetic Waves, this new joint series between IEEE Press and Oxford University Press offers even better coverage of the field with new titles as well as reprintings and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.

 

Table of Contents:

Preface.

Linear Analysis.

The Green's Function Method.

The Spectral Representation Method.

Electromagnetic Sources.

Electromagnetic Boundary Value Problems.

Index.

商品描述(中文翻譯)

描述:
《電機工程/電磁學數學基礎:電磁理論的基礎》是IEEE/OUP電磁波理論系列中的一卷,編輯為Donald G. Dudley。本卷為電磁理論的進階主題研究奠定了數學基礎。重要的主題包括線性空間、格林函數、頻譜展開、電磁源表示及電磁邊界值問題。您將會發現以下關鍵特點:

- 現代線性分析和線性算子的介紹
- 使用格林函數和頻譜展開解決Sturm-Liouville問題
- 特定於各種微分算子及相關邊界條件的自然變換和級數展開
- 典型電磁源的有用替代表示
- 電磁邊界值問題的應用

本書將吸引工程學、電磁學、物理學及應用數學的研究生,以及研究工程師、物理學家和科學家。系列中的其他書籍包括……《波的輻射與散射》,IEEE Press經典重印,Leopold B. Felsen和Nathan Marcuvitz,1994年,精裝本,928頁;《電磁理論中的二次格林函數》,第二版,Chen-To Tai,密西根大學,1994年,精裝本,360頁;《導波場理論》,第二版,Robert E. Collin,凱斯西儲大學,1991年,精裝本,864頁。

關於該系列:
該系列原為IEEE Press的電磁波系列,現在是IEEE Press與牛津大學出版社的聯合系列,提供更好的領域覆蓋,包含新書以及經典書籍的重印和修訂,這些經典在電磁波及其應用中具有長期的檔案意義。該系列專為研究生、在職工程師和研究人員設計,提供可負擔的書籍,探索超越本科水平的電磁波及其應用。

目錄:
前言。
線性分析。
格林函數法。
頻譜表示法。
電磁源。
電磁邊界值問題。
索引。