DSpace Community:http://hdl.handle.net/123456789/2042021-03-22T11:06:20Z2021-03-22T11:06:20ZA General Approach to the Formulae Used in the
Conjugate Directions Method for Solving Linear
Systems of Algebraic EquationsNICOLAIDE, Andreihttp://hdl.handle.net/123456789/4642015-01-18T06:13:27Z2010-12-31T22:00:00ZTitle: A General Approach to the Formulae Used in the
Conjugate Directions Method for Solving Linear
Systems of Algebraic Equations
Authors: NICOLAIDE, Andrei
Abstract: A proof of the formulae used in the conjugate directions method for solving linear algebraic systems of equations is presented. The proof is based on the minimization of a functional connected with a change of variables, and differs from the proofs presented by other authors. It permits an accessible but deep understanding of the procedure removing some confusions of literature, and allowing new remarks. Some results may be easily verified by using Maple-soft programs.2010-12-31T22:00:00ZELECTROMAGNETICS. General Theory of the Electromagnetic Field. Classical and Relativistic ApproachesNICOLAIDE, Andreihttp://hdl.handle.net/123456789/2422013-01-15T09:13:02Z2011-12-31T22:00:00ZTitle: ELECTROMAGNETICS. General Theory of the Electromagnetic Field. Classical and Relativistic Approaches
Authors: NICOLAIDE, Andrei
Abstract: The present book titled, Electromagnetics: General theory of the electromagnetic
field. Classical and relativistic approaches, is an extended form of the previous two
editions of the books titled Electromagnetics: General theory of the electromagnetic field.
The new book, at the difference of the previous ones, contains four new appendices,
devoted to several topics, as follows: a. A study on the divergence of tensors related to
the curvature of the space-time continuum; b. The energy-momentum tensor of the
electromagnetic field in the theory of relativity; c. The Sagnac effect in The General
theory of relativity; d. A new approach to the calculation of the magnetic field strength of
a solenoid and to the introduction of magnetic quantities.
In this book, apart from some improvements, new results have been included, some of
them belonging to the author. These last ones have been presented at the ICAEM
International Conference of Applied and Engineering Mathematics, held in London the
last four years (2008-2011). The book will appear in both forms electronic and print.
The volume has been built in order to avoid the reader to resort to books of
mathematics, all mathematical developments being included in the book.
The purpose of this book has been to present in a legible manner some important
subjects of the concerned topics. At the same time, the text has been so prepared that a
reader not interested in the Special Theory of Relativity and General Theory of Relativity
could read it, avoiding the text connected with the relativistic treatment.
The book is devoted to all readers interested in these topics.2011-12-31T22:00:00ZELECTROMAGNETICS - General Theory of the Electromagnetic FieldNICOLAIDE, Andreihttp://hdl.handle.net/123456789/2242012-01-16T12:05:50Z2008-12-31T22:00:00ZTitle: ELECTROMAGNETICS - General Theory of the Electromagnetic Field
Authors: NICOLAIDE, Andrei2008-12-31T22:00:00ZELECTROMAGNETICS - General Theory of the Electromagnetic FieldNICOLAIDE, Andreihttp://hdl.handle.net/123456789/2232012-01-16T12:05:09Z2008-12-31T22:00:00ZTitle: ELECTROMAGNETICS - General Theory of the Electromagnetic Field
Authors: NICOLAIDE, Andrei2008-12-31T22:00:00Z