Bernard Jancewicz's Books

Multivectors And Clifford Algebra In Electrodynamics

By: Bernard Jancewicz

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Multivectors And Clifford Algebra In Electrodynamics

By: Bernard Jancewicz

Clifford algebras are assuming now an increasing role in theoretical physics. Some of them predominantly larger ones are used in elementary particle theory, especially for a unification of the fundamental interactions. The smaller ones are promoted in more classical domains. This book is intended to demonstrate usefulness of Clifford algebras in classical electrodynamics. Written with a pedagogical aim, it begins with an introductory chapter devoted to multivectors and Clifford algebra for the three-dimensional space. In a later chapter modifications are presented necessary for higher dimension and for the pseudoeuclidean metric of the Minkowski space.Among other advantages one is worth mentioning: Due to a bivectorial description of the magnetic field a notion of force surfaces naturally emerges, which reveals an intimate link between the magnetic field and the electric currents as its sources. Because of the elementary level of presentation, this book can be treated as an introductory course to electromagnetic theory. Numerous illustrations are helpful in visualizing the exposition. Furthermore, each chapter ends with a list of problems which amplify or further illustrate the fundamental arguments.

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Page Count

345

Publisher

World Scientific

Published Date

ISBN 10

9814513695

ISBN 13

9789814513692

From Field Theory to Quantum Groups

Birthday Volume Dedicated to Jerzy Lukierski

By: Bernard Jancewicz,Jan Sobczyk

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From Field Theory to Quantum Groups

Birthday Volume Dedicated to Jerzy Lukierski

By: Bernard Jancewicz,Jan Sobczyk

Professor Jerzy Lukierski, an outstanding specialist in the domain of quantum groups, will reach on May 21, 1995 the age of sixty. This is a birthday volume dedicated to him. It assumes the form of a collection of papers on a wide range of topics in modern research area from theoretical high energy physics to mathematical physics. Various topics of quantum groups will be treated with a special emphasis. Quantum groups is nowadays a very fashionable subject both in mathematics and high energy physics.

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351

Publisher

World Scientific

Published Date

ISBN 10

981022544X

ISBN 13

9789810225445

Directed Quantities in Electrodynamics

By: Bernard Jancewicz

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Directed Quantities in Electrodynamics

By: Bernard Jancewicz

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.

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Page Count

328

Publisher

Springer Nature

Published Date

ISBN 10

3030904717

ISBN 13

9783030904715

Multivectors and Clifford Algebra in Electrodynamics

By: Bernard Jancewicz

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Multivectors and Clifford Algebra in Electrodynamics

By: Bernard Jancewicz

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Solve jigsaw puzzle

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Page Count

340

Publisher

World Scientific

Published Date

ISBN 10

9971502909

ISBN 13

9789971502904

Book's by Bernard Jancewicz

Multivectors And Clifford Algebra In Electrodynamics

Multivectors And Clifford Algebra In Electrodynamics

From Field Theory to Quantum Groups

From Field Theory to Quantum Groups

Directed Quantities in Electrodynamics

Directed Quantities in Electrodynamics

Multivectors and Clifford Algebra in Electrodynamics

Multivectors and Clifford Algebra in Electrodynamics

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