Description

About The Book

This textbook has been meticulously designed to help students develop a deep mastery of the fundamental concepts of elementary algebra, fostering both confidence and clarity in mathematical thinking. It aims to build a solid foundation for students, preparing them for advanced studies and professional applications where analytical and problem-solving skills are essential.
The book covers a broad range of essential topics, including the Theory of Equations, Transformations of the Cartesian Plane, Multi–Base Arithmetic, Permutations and Combinations, and selected foundational concepts in Abstract Algebra. Each chapter is structured to move from basic principles to more complex applications, allowing learners to progress at a comfortable pace while reinforcing conceptual understanding.
Emphasizing both theory and practice, the text integrates clear explanations, step-by-step examples, and thoughtfully designed exercises that encourage active engagement with the material. Whether used in the classroom or for self-study, this book serves as a comprehensive guide to mastering algebraic reasoning.
By blending rigor with accessibility, it ensures that students not only learn how to solve problems but also understand the underlying logic that makes mathematics a powerful language of science and reasoning.

About The Author 

Dr. Dhananjay Yadav earned his Ph.D. in Mathematics from IIT Roorkee and M.Sc. from DDU University, Gorakhpur. He is currently an Associate Professor at the University of Nizwa, Oman, and has previously served as a Principal Research Scientist in Canada and South Korea. His research expertise includes CO₂ capture, computational sustainability, fluid mechanics, and nanofluids. With over 140 publications in reputed international journals, he is recognized among the top 2% most influential researchers globally by Stanford University based on Scopus data, reflecting his remarkable contributions to applied mathematics and environmental analytics.
Dr. Abdul Adheem Mohamad holds a Ph.D. in Mathematics from the University of Auckland and serves as an Associate Professor at the University of Nizwa, Oman. His research spans Analysis, Algebra, Geometry, and Topology, focusing on their diverse applications in modern mathematical studies.
Dr. Gary Q. Dacanay earned his Doctorate in Mathematics Education from Saint Paul University Philippines. With multiple degrees in Mathematics, Physics, and Engineering, his research focuses on the design and construction of instructional materials in Mathematics and Physics, enhancing effective teaching and learning methodologies.
Dr. Mukesh Kumar Awasthi is an Assistant Professor of Mathematics at Babasaheb Bhimrao Ambedkar University, Lucknow. Specializing in mathematical modelling of flow problems, he has authored over 185 research papers and 10 books, and is recognized among the top 2% influential researchers worldwide by Stanford University (Scopus data).