The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. Chapters are based on talks given at the 2024 "International Conference on Evolution in Pure and Applied Mathematics" (ICEPAM) held at Akal University Talwandi Sabo. Specific topics covered include module theory, non-associative algebras, geometric solitons, graph theory, and more. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. Chapters are based on talks given at the 2024 "e;International Conference on Evolution in Pure and Applied Mathematics"e; (ICEPAM) held at Akal University Talwandi Sabo. Specific topics covered include module theory, non-associative algebras, geometric solitons, graph theory, and more. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
Mathematical modeling and computational techniques are crucial for solving complex real-world problems across diverse domains. This book presents cutting-edge research in applied mathematics, covering topics such as fractional differential equations, fuzzy numerical techniques, nonlinear programming, disease modeling, social network analysis, deep learning, and optimization algorithms. It provides rigorous mathematical formulations, algorithmic implementations, and real-world applications in agriculture, medicine, environmental sciences, and engineering. Readers will gain insights into innovative problem-solving approaches, from stability analysis and bifurcations to AI-driven disease detection and forensic analysis. With a balance of theoretical foundations and practical applications, this volume is an essential resource for researchers, academics, and professionals seeking to advance their understanding of modern mathematical techniques and computational advancements.