1st Edition

Mathematical Analysis for Engineering and Applied Sciences Foundational and Fundamental Aspects

Edited By Hemen Dutta, Ahmet Ocak Akdemir Copyright 2025
    224 Pages 102 B/W Illustrations
    by CRC Press

    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.

    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. Combined Algorithms Development and Application to Increase the Accuracy of Measurements and Conversion Functions on Information Measurement Systems. 4. A Classification of Focal Surfaces of a Tube Surface in E3. 5. Approximation of functions in certain Lipschitz classes by (M, λn)(E, 1) means of Fourier series and conjugate series of Fourier series. 6. NTRU Cryptosystem Over Rational numbers Qp and a New Verification Method Over Rational Functions Field. 7. G-Metric spaces and Fixed Point Results in G-Metric Spaces. 8. Inertial three steps of forward-backward splitting algorithms to solve inclusion problems and its application to image restoration problems. 9. A GCD Matrices Based Public Key Cryptosystem. 10. Explicit study of fractal generation of Mandelbrot and Julia sets via Picard-S iteration scheme with s-convexity.

    Biography

    Hemen Dutta has been a faculty member at Gauhati University, India since 2010. Before joining Gauhati University, he served three other academic institutions in different capacities. He is currently interested in nonlinear analysis and mathematical modeling. Dr. Dutta has written over 150 publications as research papers and book chapters. He has also authored more than 20 books and is part of the editorial board for several reputed journals and book series.

    Ahmet Ocak Akdemir is a Professor in the Department of Mathematics at Ağrı Ibrahim Çeçen University, Ağrı, 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.