Fundametals Of Theoretical Physics Vol 1  

Original Title  Fundametals Of Theoretical Physics Vol 1 
Author  I. V. Savelyev 
Publication date 
1982 
Topics  physics, Mechanics, Electrodynamics, electromagnetic waves, maxwells equations, dipole, magnetostatics, electrostatics, canonical equations, special relativity, oscillations, variational principles 
Collection  mirtitles, additional_collections 
Language  English 
Book Type  EBook 
Material Type  Book 
File Type  
Downloadable  Yes 
Support  Mobile, Desktop, Tablet 
Scan Quality:  Best No watermark 
PDF Quality:  Good 
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Fundamentals of Theoretical Physics Volume 1 Mechanics, Electrodynamics by I. V. Savelyev
The book was translated from the Russian by G. Leib. The book was first published in 1982, revised from the 1975 Russian edition by Mir Publishers. The book being offered to the reader is a logical continuation of the author’s threevolume general course of physics. Everything possible has been done to avoid repenting what has been set out in the threevolume course. Particularly. the experiments underlying the advancing of physical ideas are not treated, and some of the results obtained are not discussed. The treatment of electrodynamics is restricted to a consideration of media with a permittivity c and a permeability ~t not depending on the fields E and B. An appreciable difficulty appearing in studying theoretical physics is the circumstance that quite often many mathematical topics have earlier never been studied by the reader or have been forgotten by him fundamentally. To eliminate this difficulty, I have provided the book with detailed mathematical appendices. The latter are sufficiently complete to relieve the reader of having to turn to mathematical aids and find the required information in them. This information is often set out in these aids too complicated for the readers which the present book is intended for. Hence, the information on mathematical analysis contained in a college course of higher mathematics is sufficient for mastering this book. The book has been conceived as a training aid for students of non theoretical specialities of higher educational institutions. I had in mind readers who would like to grasp the main ideas and methods of theoretical physics without delving into the download that are of interest only for a specialist. This book will be helpful for physics instructors at higher schools, and also for everyone interested in the subject but having no time to become acquainted with it (or re store it in his memory) according to fundamental manuals. Part One. Mechanics 11 Chapter I. The Variational Principle in Mechanics 11 1. Introduction 11 Chapter II. Conservation Laws 36 8. Energy Conservation 36 Chapter III. Selected Problems in Mechanics 41 11. Motion of a Particle in a Central Force Field 41 Chapter IV. SmallAmplitude Oscillations 64 16. Free Oscillations of a System Without Friction 64 Chapter V. Mechanics of a Rigid Body 82 21. Kinematics of a Rigid Body 82 Chapter VI. Canonical Equations 115 30. Hamilton’s Equations 115 31. Poisson Brackets 119 Chapter VII. The Special Theory of Relativity 125 33. The Principle of Relativity 125 Part Two. Electrodynamics 157 Chapter VIII. Electrostatics 157 41. Electrostatic Field in a Vacuum 157 Chapter IX. Magnetostatics 177 47. Stationary Magnetic Field in a Vacuum 177 Chapter X. TimeVarying Electromagnetic Field 199 53. Law of Electromagnetic Induction 199 Chapter XI. Equations of Electrodynamics in the Four Dimensional Form 216 60. FourPotential 216 Chapter XII. The Variational Principle in Electrodynamics 232 66. Action for a Charged Particle in an Electromagnetic Field 232 Chapter XIII. Electromagnetic Waves 248 71. The Wave Equation 248 Chapter XIV. Radiation of Electromagnetic Waves 269 76. Retarded Potentials 269 Appendices 297 I. Lagrange’s Equations for a Holonomic System with Ideal Non Stationary Constraints 297 Index 419
