This book provides an easy to follow study on Legendre Polynomials and Functions. It is also written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Legendre Polynomials and Functions that very often occur in engineering, physics, mathematics and applied sciences. I have collected many problems and gave numerous solved examples on the subject that might help the reader getting on-hand experience with the techniques presented in this note. It is hoped that this work will give some motivation to the reader to dig a bit further in the subject.