Mathematical Analysis for Engineering and Applied Sciences

The book explores a range of mathematical topics essential for application in engineering and applied sciences. It explores both the theoretical and practical aspects, providing a comprehensive foundation for the development of robust theories applicable to engineering and applied sciences. Mathematical Analysis for Engineering and Applied Sciences: Foundational and Fundamental Aspects discusses the essential mathematical principles that underpin the fields of applied science and engineering. This comprehensive book explores a blend of pure and applied mathematics, demonstrating how mathematical tools and techniques can be utilized to create a wide range of models for practical applications in these disciplines. It addresses the challenges of handling complex phenomena and provides algorithms, methods, and logical concepts that are invaluable for bioengineering, cryptosystems, surface modeling, and various other engineering applications. Individual researchers, educators, students, and department libraries will find this book of interest.

Hemen Dutta has been a faculty member at Gauhati University, India, since 2010 and presently holds the position of associate professor. Before joining Gauhati University, he served three other academic institutions in different capacities. He is currently interested in applied analysis and mathematical modeling. Dr. Dutta has published over 180 publications as research papers, book chapters and proceedings papers. He has also published several authored and edited books. Ahmet Ocak Akdemir is a professor in the Department of Mathematics at Agri Ibrahim Çeçen University, Agri, Turkey. His research interests focus mainly on inequality theory, convex analysis, and real functions of two variables, especially fractional calculus, and integral operators. He has published several research papers with pioneer journals and has delivered several talks at international conferences and meetings. Dr. Akdemir has organized several international conferences as chairman and member of the organizing committee. He is the recipient of numerous publication encouragement awards given by his university as well as private institutions.

1. Pure Mathematics Applied to Bio-Engineering Problems. 2. Inverse Coefficient Problem for Nonlinear Euler-Bernoulli Equation with Periodic Boundary and Integral Addition Conditions. 3. A Classification of Focal Surfaces of a Tube Surface in E3. 4. Approximation of Functions in Certain Lipschitz Classes by (M, -n)(E, 1) Means of Fourier Series and Conjugate Series of Fourier Series. 5. NTRU Cryptosystem Over Rational Numbers Q_p and a New Verification Method over Rational Functions Field. 6. Metric Spaces and Fixed-Point Results in G-Metric Spaces. 7. Inertial Three-Step Forward-Backward Splitting Algorithms to Solve Inclusion Problems and Their Application to Image Restoration Problems. 8. Explicit Study of Fractal Generation of Mandelbrot and Julia Sets via Picard-S Iteration Scheme with S-Convexity.