Mathematical Analysis for Engineering and Applied Sciences

This edited volume from mathematical modelling experts employs a structured approach to showcase the latest research and provide a comprehensive guide to the principles, techniques and practical applications of mathematical modelling in the fields of engineering and the physical sciences.

Readers will gain an insight into the fundamentals of mathematical modelling, its application in engineering and the physical sciences, recent advances in the field, real-world case studies and challenges and future directions in the field. The book first introduces readers to the fundamentals of mathematical modelling, including the definition, scope and steps involved in the modelling process. Mathematical tools and techniques relevant to modelling are explained. The book then addresses the application of mathematical modelling in engineering and the physical sciences. It covers various domains, such as mechanical, biomedical, chemical, computer and environmental engineering, as well as green energy, physics and other physical science applications. Furthermore, the book explores the integration of data-driven approaches, leveraging the power of big data and analytics to enhance modelling capabilities. Through real-life case studies, readers gain practical insights into how mathematical modelling is applied in various industries and scientific disciplines. These case studies analyse the modelling process, challenges faced and outcomes achieved. Readers will gain a solid foundation to develop effective mathematical models and apply them to solve complex engineering and physical problems. This foundation will also enable them to tackle problems and make informed decisions in their own projects. Finally, readers will be able to anticipate and adapt to evolving technologies and stay ahead in their respective fields.

This book is a valuable resource primarily for undergraduate and graduate students seeking a comprehensive guide to this important discipline. Researchers, engineers and scientists will also benefit from the discussions within. Overall, the book empowers readers with the knowledge, skills and practical insights to effectively apply mathematical modelling in engineering and the physical sciences.

Chapter 1 Pure Mathematics Applied to Bio-Engineering Problems

Anthony G. Shannon, Ömür Deveci, and Yeşim Aküzüm

Chapter 2 Inverse Coefficient Problem for Nonlinear Euler-Bernoulli Equation with Periodic Boundary and Integral Addition Conditions

Irem Baglan and Fatma Kanca

Chapter 3 A Classification of Focal Surfaces of a Tube Surface in E3 

Sezgin Büyükkütük, İlim Kişi, and Günay Öztürk

Chapter 4 Approximation of Functions in Certain Lipschitz Classes by (M, λn)(E, 1) Means of Fourier Series and Conjugate Series of Fourier Series 

Shilpa Das and Hemen Dutta

Chapter 5 NTRU Cryptosystem over Rational Numbers □□_□□ and a New Verification Method over Rational Functions Field 

Mehmet Sever

Chapter 6 Metric Space and Fixed-Point Results in G – Metric Spaces

Talat Nazir and Mujahid Abbas

Chapter 7 Inertial Three-Step Forward-Backward Splitting Algorithms to Solve Inclusion Problems and Their Application to Image Restoration Problems 

W. Cholamjiak, D. Yambangwai, and S. Das

Chapter 8 Explicit Study of Fractal Generation of Mandelbrot and Julia Sets via Picard−S Iteration Scheme with S−Convexity 

Nisha Sharma, Hemen Dutta, and Shikha Pandey