Thornton & Marion (5th Edition), Chapter 01, Problem 21 Solution

Thornton & Marion, Classical Dynamics (5th Edition) Chapter 1. Matrices, Vectors, and Vector Calculus Problem 21. Triple scalar product and Levi-Civita symbol The problem asks you to show  The relation between the triple scalar product and Levi-Civita Symbol You should know about Vector and scalar product Triple scalar product (Problem 1-11) Definition of Levi-Civita symbol…

Thornton & Marion (5th Edition), Chapter 01, Problem 20 Solution

Thornton & Marion, Classical Dynamics (5th Edition) Chapter 1. Matrices, Vectors, and Vector Calculus Problem 20. Kronecker delta & Levi-Civita Symbol The problem asks you to prove Some properties of Kronecker delta and Levi-Civita Symbol You should know about Definition of Kronecker delta symbol (Equation 1.14) Definition of Levi-Civita symbol (Equation 1.67) Solution References https://en.wikipedia.org/wiki/Kronecker_delta…

Thornton & Marion (5th Edition), Chapter 01, Problem 19 Solution

Thornton & Marion, Classical Dynamics (5th Edition) Chapter 1. Matrices, Vectors, and Vector Calculus Problem 19. Vector Algebra The problem asks you to derive Angle transformation formulae using vector algebra. You should know about Basic concept of a vector algebra Law of cosines Pythagorean trigonometric identity Solution   References https://en.wikipedia.org/wiki/Law_of_cosines https://en.wikipedia.org/wiki/Pythagorean_trigonometric_identity

Rybicki & Lightman (Revised Edition), Chapter 01, Problem 07

Rybicki & Lightman, Revised Edition Chapter 1. Fundamentals of Radiative Transfer Problem 07. The Einstein coefficients Solution Acknowledgment Thank you, Mateus, for asking this question.

Rybicki & Lightman (Revised Edition), Chapter 01, Problem 01

Rybicki & Lightman, Revised Edition Chapter 1. Fundamentals of Radiative Transfer Problem 01. Definition of the flux and solid angle Solution

Rybicki & Lightman, Radiative Processes in Astrophysics, Revised Edition

In this page, I will post solutions of the problems in the Radiative Processes in Astrophysics (Revised Edition), written by Rybicki & Lightman. You can buy the book via https://www.amazon.com/Radiative-Processes-Astrophysics-George-Rybicki/dp/0471827592

Griffiths (3rd Edition), Chapter 01, Problem 1.9 Solution

Griffiths, Introduction to Electrodynamics, 3rd Edition Chapter 01. Vector Analysis 1.1 Vector Algebra 1.1.5 How Vectors Transform Problem 1.9 Rotation matrix Solution

Griffiths (3rd Edition), Chapter 01, Problem 1.8 Solution

Griffiths, Introduction to Electrodynamics, 3rd Edition Chapter 01. Vector Analysis 1.1 Vector Algebra 1.1.5 How Vectors Transform Problem 1.8 Matrix and tensor transformation Solution

Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 18

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 18. Geometrical interpretation of the vector product Solution

Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 17

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 17. Geometrical interpretation of the scalar product Solution