Mathematics is often called the language of logic, precision, and discovery. Elementary Topics in Algebra exemplifies this spirit through a comprehensive and well-structured approach to foundational algebra. Authored by four distinguished academicians and researchers, the book aims to strengthen students’ conceptual understanding of algebra while equipping them with analytical and problem-solving skills vital for higher studies and real-world applications.
The textbook has been meticulously crafted to offer clarity, depth, and accessibility. It covers a wide array of essential topics, including the Theory of Equations, Transformations of the Cartesian Plane, Multi–Base Arithmetic, Permutations and Combinations, and fundamental principles of Abstract Algebra. Each chapter begins with clear theoretical explanations followed by illustrative examples and practical exercises, allowing learners to build confidence step-by-step. Designed for both classroom use and self-study, it nurtures a learner’s ability to think critically and reason mathematically.
A distinctive feature of this book is its balanced integration of theory and practice, ensuring that students not only learn to solve problems but also grasp the reasoning behind mathematical processes. The text fosters a deep understanding of algebraic structures and their significance across scientific disciplines, making it a valuable resource for students, educators, and professionals alike.
Behind this scholarly contribution stand four eminent authors whose combined expertise brings academic rigor and teaching excellence to the work.
Dr. Dhananjay Yadav, Ph.D. from IIT Roorkee, currently serves as an Associate Professor at the University of Nizwa, Oman. His research in CO₂ capture, fluid mechanics, and computational sustainability has earned him global recognition, including a place among the top 2% most influential researchers in the world by Stanford University.
Dr. Abdul Adheem Mohamad, Ph.D. from the University of Auckland, is also an Associate Professor at the University of Nizwa, Oman. His academic contributions span Analysis, Algebra, Geometry, and Topology, with a focus on the modern applications of these fields.
Dr. Gary Q. Dacanay, Doctor of Mathematics Education from Saint Paul University Philippines, brings a rich interdisciplinary background in Mathematics, Physics, and Engineering. His research enhances the design of effective instructional materials, contributing to innovations in mathematics education.
Dr. Mukesh Kumar Awasthi, Assistant Professor at Babasaheb Bhimrao Ambedkar University, Lucknow, specializes in mathematical modelling of flow problems. With over 185 publications and 10 books, he too is recognized among the top 2% of researchers worldwide by Stanford University.
Together, these scholars have produced a work that blends academic depth with pedagogical clarity. Elementary Topics in Algebra is more than just a textbook—it is a guide that empowers students to see the beauty, logic, and limitless potential of mathematics.