03792nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001300153072001600166072002300182072001500205100008200220245011900302250001800421264007500439300006300514336002600577337002600603338003600629347002400665490005500689505055000744520147601294650003402770650002902804650002402833650001502857650001702872650002402889650007002913650002402983650002503007650003303032710003403065773002603099776003603125776003603161830005503197856004603252978-3-031-31706-4DE-He21320251030112020.0cr nn 008mamaa240501s2024 sz | s |||| 0|eng d a97830313170647 a10.1007/978-3-031-31706-42doi 4aQC173.65 7aPHR2bicssc 7aSCI0610002bisacsh 7aPHR2thema1 aTsamparlis, Michael.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aSolved Problems and Systematic Introduction to Special Relativityh[electronic resource] /cby Michael Tsamparlis. a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024. aXX, 485 p. 65 illus., 1 illus. in color.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aUndergraduate Lecture Notes in Physics,x2192-48050 aPart 1 - The Statement of the Problems Together With A Short Review of the Relevant Theory -- Chapter 1 - General material -- Chapter 2 - Linear spaces - coordinates -- Chapter 3 - Inner product -- Chapter 4 - Tensors -- Chapter 5 - Euclidian Inner product and Euclidian tensors -- Chapter 6 - Lorentz Inner product and Lorentz tensors -- Chapter 7 - 4-Vectors -- Chapter 8 - Systems of particle 4-vectors -- Chapter 9 - Making Physics -- Part 2 - Solutions -- Chapter 10 - Relativistic reactions -- Chapter 11 - Electromagnetic field:Problems. aIn most undergraduate physics classes Special Relativity is taught from a simplistic point of view using Newtonian concepts rather than the relativistic way of thinking. This results in students often finding it difficult to understand properly the new approach/new ideas, and consequently to solve relativistic problems. Furthermore, a number of books treat the theory using advanced mathematics which is not necessary for the first approach to the theory. This book is intended to serve two roles: a. To treat a student in a systematic constructive way to the basic structure of the theory and b. To provide a large number of solved in-detail problems in the kinematics and dynamics of Special Relativity. Concerning the first aim the book introduces the basics of four-dimensional mathematics, i.e., Lorentz metric, relativistic tensors, and prepares, through working examples, the transition to General Relativity, which requires, besides the relativistic concepts, the use of Differential Geometry and tensor analysis. The presentation is concise and does not replace a book on Special Relativity. Concerning the second intention the large number of problems provides the necessary material which can be used in order to familiarize the student with the relativistic “world”. These problems can be used in the class by the teachers either as working examples or as problem sheets. It will be our pleasure if the book will be useful to both students and teachers. 0aSpecial relativity (Physics). 0aQuantum electrodynamics. 0aAlgebraic geometry. 0aMechanics. 0aMathematics.14aSpecial Relativity.24aQuantum Electrodynamics, Relativistic and Many-body Calculations.24aAlgebraic Geometry.24aClassical Mechanics.24aApplications of Mathematics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303131705708iPrinted edition:z9783031317071 0aUndergraduate Lecture Notes in Physics,x2192-480540uhttps://doi.org/10.1007/978-3-031-31706-4