This book is a compilation of chapters that discuss the most vital concepts in the field of algebra. It provides in depth knowledge of this field of study. As a part of mathematics, algebra includes the study of groups and fields and their manipulation. It is generally referred to as the backbone of mathematics. Some of the diverse topics covered in this book address the varied branches that fall under this category. The book studies, analyses and upholds the pillars of algebra and its utmost significance in modern times. This textbook is an essential guide for students who are seeking detailed information in this area.