Introduction to Spacetime: A First Course on Relativity free download online

Title: Introduction to Spacetime: A First Course on Relativity
Author(s): Bertel Laurent
Pages: 197
Publisher: World Scientific Publishing Company
Publication date: 1995
Language: English
Format: PDF
ISBN-10: 9810219296
ISBN-13:
Description: Review By Hanno Essen (Stockholm Sweden) This material of this book was successfully used in a course of special relativity for advanced undergraduates at the University of Stockholm by the late professor Bertel Laurent, one of Oskar Klein's best students. When he sadly passed away shortly before retirement the manuscript was transformed into a book by his enthusiastic friend Stig Flodmark. The book is unusual in that it does not discuss the historical, philosophical, and experimental background that most book dwell on a lot. Instead special relativity is clearly and simply presented with modern coordinate free (index free) notation as a correct and accepted theory of physics. I recommend it strongly as a concise, pedagogical, and compact course book with a modern point of view. Contents I PRINCIPLES. BASIC APPLICATIONS 1 Clocks and Acceleration 1.1 Measuring Time 1.2 Measuring Acceleration 1.3 The Principle of the Maximal Proper Time 1.4 Events. Space-Time 1.5 Parallel World Lines 2 Vector Algebra 2.1 Basic Properties 2.2 Scalar Product 3 Vector Characteristics 3.1 Timelike. Spacelike. Null-like 3.2 Comparison with Euclidean Space 4 Simultaneity and Space Distance 4.1 Simultaneity 4.2 Space Distance 4.3 The Orthogonal Space 5 Linear Independence 6 Relative Velocity and Four-Velocity 6.1 The Standard Velocity Split 6.2 Light Signals 6.3 Split of Null-Like Vectors 6.4 The Future and the Past 7 Two-Dimensional Spacetime 7.1 Lorenta Transformation 7.2 Addition of Velocities 7.3 Lorentz Contraction 8 Plane Waves 8.1 The Wave Four-Vector 8.2 Modulations 8.3 Doppler Shift and Aberration 9.1 Four-Momentum 9.2 Particle Kinematics 9 Particle Reactions 10 Curved World Lines a1 10.1 Four-Acceleration 10.2 Examples 10.2.1 Constant Acceleration 10.2.2 Fitting a Car into a Garage 10.2.3 Rotating Wheel II TENSORS 11 Definition and Examples 11.1 Definition 11.2 Examples 12 Algebraic Properties 12.1 First Rank Tensors 12.2 Generalized Tensors 12.2.1 Symmetries 12.2.2 Abstract Indices 12.3 Tensor Algebra 12.4 Expansion 12.5 Contraction 12.6 Tensors and the Scalar Product 12.6.1 Relation between Vectors and Dual Vectors 12.6.2 The Metric Tensor 13 Tensor Fields 13.1 Scalar Fields. Gradients 13.2 Tensor Fields 14 Spacetime Volumes 14.1 Volume Without Metric 14.1.1 Basic Concepts. Parallelepipeds 14.1.2 Calculation of Volumes 14.1.3 Sums of Volumes 14.1.4 Volumes and Coordinates 14.2 Volume and Metric. Orientation 14.3 Hypersurface Volumes 15 Currents 15.1 Particle Flow. Four-Current Density 15.2 Gauss's Theorem 15.3 Different Kinds of Currents III ELECTRODYNAMICS 16 Sourcefree Electromagnetism 16.1 The Wave Equation 16.2 The Field Tensor 16.3 The Field Equations 16.3.1 General Considerations 16.3.2 The Four-Potential Equations 16.3.3 The Field Tensor Equations 16.3.4 Gauge 16.4 Maxwell's Equations 16.4.1 The Electric and Magnetic Fields 16.4.2 The Field Equations 17 Electro-Magnetism with Sources 17.1 The Field Equations 17.1.1 Sources 17.1.2 Maxwell's Equations 17.1.3 The Potential Equations 17.2 Energy-Momentum 17.2.1 Dust 17.2.2 Electromagnetism 18.1 The Green's Function 18.2 The Lienard-Wiechert Potential

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