Algebra: An Introduction

Algebra stands as a pivotal domain within mathematics, alongside geometry, number theory, and analysis. It scrutinizes mathematical symbols and the principles guiding their manipulation, serving as a cohesive element throughout mathematics. In terms of complexity, algebra is bifurcated into elementary algebra and abstract algebra. Elementary algebra, foundational to mathematical study, addresses fundamental algebraic concepts. Examples include the study of polynomials and polynomial expressions. Abstract algebra, also known as modern algebra, delves into spheres that are more abstract. Concepts such as sets, identity elements, inverse elements, and associativity are explored within abstract algebra. This book is compiled in such a manner, that it will provide in-depth knowledge about the theory and practice of algebra. It will also provide interesting topics for research which interested readers can take up. It will serve as a valuable source of reference for graduate and postgraduate students.