Foundations of classical electrodynamics : charge, flux, and metric
著者
書誌事項
Foundations of classical electrodynamics : charge, flux, and metric
(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 33)
Birkhäuser, c2003
大学図書館所蔵 全16件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
内容説明・目次
内容説明
In this book we display the fundamental structure underlying classical electro dynamics, i. e. , the phenomenological theory of electric and magnetic effects. The book can be used as a textbook for an advanced course in theoretical electrodynamics for physics and mathematics students and, perhaps, for some highly motivated electrical engineering students. We expect from our readers that they know elementary electrodynamics in the conventional (1 + 3)-dimensional form including Maxwell's equations. More over, they should be familiar with linear algebra and elementary analysis, in cluding vector analysis. Some knowledge of differential geometry would help. Our approach rests on the metric-free integral formulation of the conservation laws of electrodynamics in the tradition of F. Kottler (1922), E. Cartan (1923), and D. van Dantzig (1934), and we stress, in particular, the axiomatic point of view. In this manner we are led to an understanding of why the Maxwell equa tions have their specific form. We hope that our book can be seen in the classical tradition of the book by E. J. Post (1962) on the Formal Structure of Electro magnetics and of the chapter "Charge and Magnetic Flux" of the encyclopedia article on classical field theories by C. Truesdell and R. A. Toupin (1960), in cluding R. A. Toupin's Bressanone lectures (1965); for the exact references see the end of the introduction on page 11. .
目次
Preface * Introduction * Part A--Mathematics: Some Exterior Calculus * Why Exterior Differential Forms? * A.1. Algebra * A.2. Exterior Calculus * A.3. Integration on a Manifold * Part B--Axioms of Classical Electrodynamics * B.1. Electric Charge Conservation * B.2. Lorentz Force Density * B.3. Magnetic Flux Conservation * B.4. Basic Classical Electrodynamics Summarized, Example * B.5. Electromagnetic Energy-Momentum Current and Action* Part C--More Mathematics * C.1. Linear Connection * C.2. Metric * Part D--The Maxwell--Lorentz Spacetime Relation * D.1. A Linear Relation Between H and F * D.2. Propagation of Electromagnetic Waves: Quartic Wave Surface * D.3. First Constraint: Electric/Magnetic Reciprocity * D.4. Second Constraint: Vanishing Skewon Field and Light Cone * D.5. Extracting the Metric by an Alternative Method * D.6. Fifth Axiom: Maxwell--Lorentz Spacetime Relation * Part E--Electrodynamic in Vacuum and in Matter * E.1. Standard Maxwell--Lorentz Theory in a Vacuum * E.2. Electrodynamic Spacetime Relations Beyond Locality and Linearity * E.3. Electrodynamics in Matter, Constitutive Law * Electrodynamics of Moving Continua * Outlook * References * Author Index * Subject Index
「Nielsen BookData」 より