Mathematical Foundations: Linear Algebra, Matrices, Numerical Analysis, Abstract Algebra, and Differential Calculus
Mathematical Foundations: Linear Algebra, Matrices, Numerical Analysis, Abstract Algebra, and Differential Calculus
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Mathematical Foundations: Linear Algebra, Matrices, Numerical Analysis, Abstract Algebra, and Differential Calculus

Authors: Jagadeesha.K.C., Siddalingaswamy R., M. S. Sunitha, Nagaraja N. K.

ISBN-13: 9789349554207

DOI: https://doi.org/10.5281/zenodo.17997812

Format: Paperback and e-book

Pages: 179

Product Dimensions: 6 x 9 inch

Publisher: Bharat Global Publications

Rating:
799.00 Rs.699.00 Rs.
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How to cite: "Jagadeesha, K. C., Siddalingaswamy, R., Sunitha, M. S., & Nagaraja, N. K. (2025). Mathematical foundations: Linear algebra, matrices, numerical analysis, abstract algebra, and differential calculus. ISBN 9789349554207. Bharat Global Publications."

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About the Author(s)

Jagadeesha.K.C.

Jagadeesha.K.C.

Jagadeesha.K.C. is an accomplished mathematician with M.Sc. and M.Phil degrees in Mathematics. He has dedicated sixteen years to teaching in various Government Degree Colleges across Karnataka. His extensive experience has shaped the mathematical foundation of countless undergraduate students. Currently, he is pursuing his Ph.D. in Mathematics at Davangere University, further deepening his academic expertise. As an Associate Professor at Government First Grade College (GFGC), Tumkur, he continues to inspire students through his engaging teaching methods. His research interests reflect a deep commitment to advancing mathematical knowledge. He has published several research papers in Scopus-indexed journals. These publications highlight his scholarly contributions to the field. His dedication to both teaching and research exemplifies his passion for mathematics. Through his work, he strives to contribute meaningfully to the academic community and the broader landscape of mathematical education.

Siddalingaswamy R.

Siddalingaswamy R.

Siddalingaswamy R. holds an M.Sc. and B.Ed. from Tumkur University and is presently pursuing a Ph.D. in Mathematics. He qualified the K-SET examination for Lectureship in 2013. Currently, he serves as an Assistant Professor of Mathematics at Government First Grade College, B.H. Road, Tumkur. With 11 years of teaching experience at the degree level, he has contributed extensively to academic development and student mentorship. He has served as a Board of Examiners (BOE) member for both Tumkur University and Davangere University. His academic interests span various domains of mathematics, and he remains actively involved in research and departmental activities. Through his teaching and scholarly engagement, he continues to inspire students and contribute to the field of higher education.

M. S. Sunitha

M. S. Sunitha

M. S. Sunitha is an Associate Professor of Mathematics with an M.Sc and M.Phil, and is currently pursuing her Ph.D. at GITAM University. She has been serving in the Department of Higher Education for the past 15 years, contributing significantly to undergraduate mathematics education. Presently, she is working at the Government First Grade College, B.H. Road, Tumakuru. Her academic journey reflects a deep commitment to teaching, research, and curriculum development. She has actively served as a BOE and BOS member in Bangalore University and various autonomous colleges. Her leadership skills are well recognized, having served as the Chairperson of the Board of Examiners at Tumkur University for the academic year 2024–2025. She is passionate about mentoring students and inspiring them toward mathematical thinking. Her areas of interest span pure and applied mathematics, with a focus on innovative pedagogical practices. She consistently participates in academic conferences, workshops, and faculty development programmes to enhance her scholarly expertise. As a researcher, she is keen on contributing impactful publications to the field of mathematics. Her dedication to academic excellence continues to guide her professional pursuits and future goals.

Nagaraja N. K.

Nagaraja N. K.

Nagaraja N. K. is an Assistant Professor of Mathematics with qualifications including M.Sc., B.Ed., and KSET. He is currently serving at Smt. & Sri Y. E. Rangaiah Shetty Government First Grade College, Challakere Road, Pavagada, in Tumkur District. With eight years of experience in teaching at the degree college level, he has significantly contributed to undergraduate mathematics education. He has also served as a Board of Examiners (BOE) member at Davangere University during the academic year 2022–23. In addition, he was a BOE member at Tumkur University for the academic year 2023–24. Prior to his current role, he worked as a Lecturer in Government PU College, Tadas, Shiggaon Taluk, Haveri District. His service at the PU level spanned four years, from 2013 to 2017. Through these roles, he has gained rich teaching and academic administrative experience. His professional journey reflects dedication to both pedagogy and academic growth. He continues to contribute actively to the field of mathematics education through his teaching, evaluation work, and institutional involvement.

About the Book

Mathematical Foundations: Linear Algebra, Matrices, Numerical Analysis, Abstract Algebra, and Differential Calculus presents a concise and rigorous treatment of core mathematical disciplines essential for higher studies in science, engineering, and applied fields. The book integrates linear algebra and matrices for understanding vector spaces and linear systems, numerical analysis for approximation methods and error estimation, abstract algebra for the study of algebraic structures such as groups, rings, and fields, and differential calculus for analyzing limits, derivatives, and change. Each topic is developed with clear definitions, logical progression, and illustrative examples, ensuring conceptual clarity without compromising mathematical rigor. Designed primarily for undergraduate and early postgraduate students, the book also serves as a dependable reference for educators seeking a structured and academically sound resource in foundational mathematics.