This book offers readers a collection of chapters presented at the International Conference on Mathematical Sciences and Computing Innovations and Applications (ICMSC 2025), held at the Department of Mathematics, the North Eastern Regional Institute of Science and Technology, Nirjuli, Itanagar, Arunachal Pradesh, India, from June 2628, 2025. Chapters cover topics on nonlinear dynamics, fluid mechanics, algebraic structures, graph theory, optimization, computational tools, machine learning, queueing systems, transportation optimization, image processing and epidemiological modeling. It discusses how modern mathematics supports scientific understanding and technological development by blending theoretical insight with practical relevance. Each chapter highlights a different direction in current research from modeling ferrofluid convection and analyzing micropolar flow to studying ring properties, topological structures and entropy measures.

Useful for researchers, educators and graduate students, this book demonstrates how established theories combine with numerical methods to handle complex systems in engineering, physics, computer science and life sciences. Many chapters address emerging areas such as post-quantum structures, reinforcement learning and modern graph algorithms, giving the reader an updated perspective on current research. A key strength of this book is the balance between abstract theory and application. Some chapters focus on structural foundations in algebra and topology, while others present models for crop planning, disease spread, energy systems and charge transport in photovoltaic devices. Overall, this book offers a coherent collection of ideas that reflect the growing role of mathematical modeling, computation and analysis in shaping scientific inquiry and technological progress.

Discusses algebra, topology, graph theory, geometry with applied research in fluid dynamics and machine learning Includes chapters on post-quantum structures, reinforcement learning, image processing, and ferrofluid dynamics Showcases numerical methods, clustering algorithms, gamma correction, and analytical tools for optimization problems

Autorentext

Dharmendra Tripathi is Associate Professor in the Department of Mathematics, National Institute of Technology Uttarakhand. His research work is focused on the mathematical modelling and simulation of biological flows in deformable domains, peristaltic flow of Newtonian and non-Newtonian fluids, membrane-based pumping flow models, dynamics of various infectious diseases, microfluidics; CFD, biomechanics, heat transfer, nanofluids, energy systems and numerical methods. He has supervised 9 Ph.D. students while 5 are working under his supervision. He has also guided various undergraduate and graduate projects. He has published more than 200 papers in reputed international journals, 5 edited books, 12 book chapters and presented more than 40 papers in international and national conferences. He has been handling research project (MATRICS) funded by ANRF (SERB), the Government of India. With h-index 60 and i-10 index 215, his papers have more than 11000 citations according to the Google Scholar.
Madan Mohan Dixit is Professor in the Department of Mathematics, North Eastern Regional Institute of Science and Technology, Arunachal Pradesh. His research work is focused on integral transform, wavelet transform and signal processing. He has supervised 8 Ph.D. students and 7 are working in his supervision. He has guided various graduate projects. With more than 30 research papers published in reputed national and international journals, a book, Generalized Wavelet Transforms, he has presented 10 research papers in national and international conferences. With h-index 6 and i-10 index 4, his papers have 209 citations as per the Google Scholar.
Jitesh Sakarlal Bhikhabhai Gajjar is Professor in the Department of Mathematics, University of Manchester, UK. He obtained his undergraduate and Ph.D. degrees from Imperial College London (19771984), then worked as Research Scientist at BMT Limited before taking up a teaching position at Exeter University, in 1985. With his research expertise in fluid mechanics, he has published extensively including co-authored books on Fluid Dynamics.
R. Sivaraj is Associate Professor in the Department of Mathematics and Computing, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India. With more than 12 years of teaching and research experience, he is listed among the top 2% scientists for the year 2025, as per Stanford University. Earlier, he worked as Postdoctoral Fellow in the Department of Mathematics, United Arab Emirates University, United Arab Emirates. He worked at the Guangdong University of Technology, Guangzhou, China, under a Faculty Exchange Program. He worked under AINU-FEP at the University of Bengkulu, Indonesia. He has received the Royal Society Commonwealth Science Conference Fellow on Grant from the Royal Society of London. He has received a Travel Grant from CSIR India to participate in a conference in Turkey. He is the Joint Secretary for the Academia for Advanced Research in Mathematics Society.

Inhalt

Exploring Nonlinear Dynamics in Science and Engineering via Hermite-Padé Approximation.- FHD Mixed Convective Flow of Ni3Fe-Water/EG Ferrofluid in a Vented Square Cavity.- A Note on special r-clean Rings.- The Mathematical Framework of Rhotrices: Structural Properties.- EIGENVALUE INDUCED TOPOLOGIES ON BINARY RELATION MATRICES AND THEIR APPLICATIONS.- RAY-CLASS INVARIANTS FROM CYCLIC ISOGENY WALKS: QUASI-LINEAR CLASS-FIELD GENERATION AND TRANSPARENT POST-QUANTUM PARAMETERS.- MATHEMATICAL MODELING IN AGRICULTURE: OPTIMIZING CROP YIELD USING DIFFERENTIAL EQUATIONS AND STATISTICAL ANALYSIS.