Advances in Pure and Applied Mathematics

Authors: Dr. Ranjan Suresh Khatu, Mr. Ganesh Subhash Kadu, Mr. Gorakhanath Rambhau Karade,
Publish Date/ Year : June 2025 | Format: Paperback | Genre : Mathematics | Other Book Detail

This chapter will discuss the Linear Diophantine Equation. A Diophantine equation is a polynomial equation whose solutions are restricted to integral values. It may contain two or more unknown parameters. Diophantine equation, is named after the ancient Greek Mathematician Diophantus of Alexandria who studied this topic in the third century A.D. Very little is known about Diophantus' life except that he probably lived in Alexandria in the early part of the fourth century c.e. and was probably the first to use letters for unknown quantities in arithmetic problems. His most famous work, Arithmetica consists of approximately 200 problems and their solutions. Most of these problems involved solutions of equations in various numbers of variables. It is interesting to note that Diophantus did not restrict his solutions to the integers but recognized rational number solutions as well.

Pages

142 pages

Language

English

Publication date

June 2025

ISBN-13

978-93-6678-767-1

Book Also Available On

Paperback: 699

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Dr. Ranjan Suresh Khatu

Dr. Ranjan Suresh Khatu is working as an Assistant Professor and Head of the Department of Mathematics at Shriram Kusumtai Sadashiv Vanjare College, Lanja. With 17 years of teaching experience, he has been imparting knowledge to graduate and postgraduate students. Dr. Khatu holds a Ph.D. in Mathematics from Shivaji University, Kolhapur, and has made significant contributions to the field through his research. He has published 13 research papers in reputed journals and presented 5 research papers in national and international conferences. Additionally, he has authored 4 chapters in books, showcasing his expertise in mathematics education and research.

Mr. Ganesh Subhash Kadu

Mr. Ganesh Subhash Kadub is currently working as an Assistant Professor in Mathematics at Shriram Kusumtai Sadashiv Vanjare College,Lanja, Ratnagiri, Maharashtra. He secured First Rank in Mathematics and Third Rank Overall in the UG Examination conducted by Savitribai Phule Pune University (2010–2011). He was awarded the Gold Medal for completing M.Sc. in Mathematics at Pune University (2011–2013). He cleared the NET (LS) in Mathematics with an all-India Rank of 76/391 and qualified for the SET Examination conducted by Savitribai Phule Pune University in December 2013. Currently, He is pursuing a PhD in Mathematics at the University of Mumbai. He has published research articles in reputed National and International Journals and presented papers at various National and International Conferences, contributing significantly to the field of mathematics.

Mr. Gorakhanath Rambhau Karade

Mr. Gorakhanath Rambhau Karade is currently working as an Assistant Professor, Department of Mathematics, Abasaheb Marathe Arts and New Commerce Science College, Rajapur. He is a dedicated academician with a strong passion for mathematics. He holds a Master of Science degree and has qualified the National Eligibility Test (NET). With over 12 years of teaching experience at the undergraduate level, Mr. Karade has established himself as a knowledgeable and effective educator. Mr. Karade's research focus lies in Fractional Differential Equations, a specialized area of mathematics. His work has been recognized through the publication of 7 research papers in reputable, peer-reviewed, and UGC CARE listed journals. Additionally, he has contributed 4 book chapters to esteemed Economics and Commerce books, highlighting the applications of mathematical concepts. His commitment to teaching, research, and academic excellence has earned him a respected position within the institution. Mr. Karade's academic journey is marked by his enthusiasm for mathematics, his dedication to teaching, and his contributions to research. His work continues to inspire students and fellow academics alike.