Directed Quantities in Electrodynamics

Directed Quantities in Electrodynamics
Author: Bernard Jancewicz
Publisher: Springer Nature
Total Pages: 328
Release: 2022-02-14
Genre: Mathematics
ISBN: 3030904717

This monograph explores classical electrodynamics from a geometrical perspective with a clear visual presentation throughout. Featuring over 200 figures, readers will delve into the definitions, properties, and uses of directed quantities in classical field theory. With an emphasis on both mathematical and electrodynamic concepts, the author’s illustrative approach will help readers understand the critical role directed quantities play in physics and mathematics. Chapters are organized so that they gradually scale in complexity, and carefully guide readers through important topics. The first three chapters introduce directed quantities in three dimensions with and without the metric, as well as the development of the algebra and analysis of directed quantities. Chapters four through seven then focus on electrodynamics without the metric, such as the premetric case, waves, and fully covariant four-dimensional electrodynamics. Complementing the book’s careful structure, exercises are included throughout for readers seeking further opportunities to practice the material. Directed Quantities in Electrodynamics will appeal to students, lecturers, and researchers of electromagnetism. It is particularly suitable as a supplement to standard textbooks on electrodynamics.

Foundations of Classical Electrodynamics

Foundations of Classical Electrodynamics
Author: Friedrich W Hehl
Publisher: Springer Science & Business Media
Total Pages: 405
Release: 2012-12-06
Genre: Science
ISBN: 1461200512

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. .

An Introduction to Electrodynamics

An Introduction to Electrodynamics
Author: P. A. Davidson
Publisher: Oxford University Press
Total Pages: 656
Release: 2019-02-18
Genre: Science
ISBN: 0192519107

An Introduction to Electrodynamics provides an excellent foundation for those undertaking a course on electrodynamics, providing an in-depth yet accessible treatment of topics covered in most undergraduate courses, but goes one step further to introduce advanced topics in applied physics, such as fusions plasmas, stellar magnetism and planetary dynamos. Some of the central ideas behind electromagnetic waves, such as three-dimensional wave propagation and retarded potentials, are first explored in the introductory background chapters and explained in the much simpler context of acoustic waves. The inclusion of two chapters on magnetohydrodynamics provides the opportunity to illustrate the basic theory of electromagnetism with a wide variety of physical applications of current interest. Davidson places great emphasis on the pedagogical development of ideas throughout the text, and includes many detailed illustrations and well-chosen exercises to complement the material and encourage student development.

Clifford Analysis and Its Applications

Clifford Analysis and Its Applications
Author: F. Brackx
Publisher: Springer Science & Business Media
Total Pages: 414
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401008620

In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research. Readership: Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.

Electromagnetic Fields and Interactions

Electromagnetic Fields and Interactions
Author: Richard Becker
Publisher: Courier Corporation
Total Pages: 866
Release: 1982-01-01
Genre: Science
ISBN: 0486642909

This classic introduction to electromagnetic fields, thoroughly revised in 1964 and available here in a one-volume edition, includes a self-contained section on quantum theory. Problems with solutions. 148 illustrations.

Field, Force, Energy and Momentum in Classical Electrodynamics (Revised Edition)

Field, Force, Energy and Momentum in Classical Electrodynamics (Revised Edition)
Author: Masud Mansuripur
Publisher: Bentham Science Publishers
Total Pages: 685
Release: 2017-08-29
Genre: Science
ISBN: 1681085569

The classical theory of electrodynamics is based on Maxwell's equations and the Lorentz law of force. This book begins with a detailed analysis of these equations, and proceeds to examine their far-reaching consequences. The traditional approach to electrodynamics treats the ‘microscopic’ equations of Maxwell as fundamental, with electric charge and electric current as the sole sources of the electric and magnetic fields. Subsequently, polarization and magnetization are introduced into Maxwell's equations to account for the observed behavior of material media. The augmented equations, known as Maxwell's ‘macroscopic’ equations, are considered useful for practical applications, but are also ultimately reducible to the more fundamental ‘microscopic’ equations. In contrast, this textbook treats Maxwell's ‘macroscopic’ equations as the foundation of classical electrodynamics, and treats electrical charge, electrical current, polarization, and magnetization as the basic constituents of material media. The laws that govern the distribution of electromagnetic energy and momentum in space-time are also introduced in an early chapter, then discussed in great detail in subsequent chapters. The text presents several examples that demonstrate the solution of Maxwell's equations in diverse situations, aiming to enhance the reader’s understanding of the flow of energy and momentum as well as the distribution of force and torque throughout the matter-field systems under consideration. This revised edition of Field, Force, Energy and Momentum in Classical Electrodynamics features revised chapters, some of which include expanded discussions of fundamental concepts or alternative derivations of important formulas. The new edition also features three additional chapters covering Maxwell’s equations in spherical coordinates (Chapter 10), the author’s recent discussion (and streamlined proof) of the Optical Theorem (Chapter 13), and the fascinating connections between electromagnetism and Einstein’s special theory of relativity (Chapter 15). A new appendix covers the SI system of units that has been used throughout the book. The book is a useful textbook for physics majors studying classical electrodynamics. It also serves as a reference for industry professionals and academic faculty in the fields of optics and advanced electronics.

Classical Electrodynamics

Classical Electrodynamics
Author: John David Jackson
Publisher: John Wiley & Sons
Total Pages: 838
Release: 2021
Genre: Electrodynamics
ISBN: 1119770769

The third edition of the defining text for the graduate-level course in Electricity and Magnetism has finally arrived! It has been 37 years since the first edition and 24 since the second. The new edition addresses the changes in emphasis and applications that have occurred in the field, without any significant increase in length.

Classical Electrodynamics

Classical Electrodynamics
Author: S.P Puri
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
Total Pages: 736
Release: 2011-02-17
Genre: Science
ISBN: 1783322284

CLASSICAL ELECTRODYNAMICS covers the development of Maxwell's theory of electromagnetism in a systematic manner and comprises the time-independent electric and magnetic fields, boundary value problems and Maxwell's equations. The generation and propagation of electromagnetic waves in unbounded and bounded media, special theory of relativity, charged particle dynamics, magneto-hydrodynamics and the formal structure of covariance as applied to Maxwell's theory are also included. In addition, the emission of radiation from accelerated charges and the resulting radiation reaction including Bremsstrahlung, Cerenkov radiation; scattering, absorption, causality and dispersion relations are covered adequately. The energy loss from charged particles, multipole radiation and Hamiltonian formulation of Maxwell's equations, constitute the finale of the book.

Electrodynamics

Electrodynamics
Author: Edward Ramberg
Publisher: Elsevier
Total Pages: 386
Release: 2012-12-02
Genre: Science
ISBN: 0323152740

Lectures on Theoretical Physics provides an overview of the fundamental principles of electrodynamics. It presents biographical notes on several scientists, including Michael Faraday, James Clerk Maxwell, Heinrich Hertz, and André Marie Ampère. The book is comprised of four parts encompassing 38 chapters. Part One explains Maxwell’s equation as an axiomatic basis, in the coordinates and in differential form, but in integral form. Part Two discusses the various classes of phenomena in stationary, quasi-stationary, static, and rapidly variable fields. It also distinguishes between summation and boundary-value problems in electrostatics and magnetostatics. Part Three presents the four-dimensional form of electrodynamics as the basic introduction to the theory of relativity. It also considers the fundamental link between the dynamics of the individual electron and Maxwell’s theory. Finally, Part Four deals with the electrodynamics of moving media. This book is a valuable resource to scientists, researchers, and individuals working in the field of theoretical physics.