Mathematics Applied to Engineering in Action: Advanced Theories, Methods, and Models focuses on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. This new volume explains how an engineer should properly define the physical and mathematical problem statements, choose the computational approach, and solve the problem by a proven reliable approach. It presents the theoretical background necessary for solving problems, including definitions, rules, formulas, and theorems on the particular theme.
The book aims to apply advanced mathematics using real-world problems to illustrate mathematical ideas. This approach emphasizes the relevance of mathematics to engineering problems, helps to motivate the reader, and gives examples of mathematical concepts in a context familiar to the research students.
The volume is intended for professors and instructors, scientific researchers, students, and industry professionals. It will help readers to choose the most appropriate mathematical modeling method to solve engineering problems.
Table of Contents
1. Quantum Information Perspective on Chemical Reactivity
Roman F. Nalewajski
2. A Computational Modeling of the Structure, Frontier Molecular Orbital (FMO) Analysis, and Global and Local Reactive Descriptors of a Phytochemical ‘Coumestrol’
P. Vinduja et al.
3. Theoretical Analysis of CuTiS2and CuTise2 Invoking Density Functional Theory Based Descriptors
Prabhat Ranjan, Pancham Kumar, and Tanmoy Chakraborty
4. Synergistic Effect of E. crassipes Biomass/Chitosan for As(III) Remediation from Water
Pankaj Gogoi et al.
5. Computational Investigations on Metal Oxide Clusters and Graphene-Based Nanomaterials for Heterogeneous Catalysis
Neetu Goel, Navjot Kaur, Mohd Riyaz, and Sarita Yadav
6. Effect of Dye Concentration on Series Resistance of Thionin Dye-Based Organic Diode
Pallab Kumar Das et al.
7. On Gower’s Inverse Matrix
J. López-Bonilla, R. López-Vázquez, and S. Vidal-Beltrán
8. Noether’s Theorem
J. Yaljá Montiel-Pérez et al.
9. Mathematical Modeling of Elastic-Plastic Transitional Stresses in Human Femur and Tibia Bones Exhibiting Orthotropic Macro Structural Symmetry
Shivdev Shahi and S. B. Singh
10. Lorentz Transformations, Dirac Matrices, and 3-Rotations via Quaternions
J. Morales, G. Ovando, J. López-Bonilla, and R. López-Vázquez
11. Multiscale Approach toward the Modeling and Simulation of Carbon Nanotubes Networks
Manas Roy and Mitali Saha
12. When Perovskites Memorize
P. Sidharth, M. Prateek, and P. Predeep
Nazmul Islam, PhD, is now working as Professor at Ramgarh Engineering College, Jharkhand, India.
Satya Bir Singh, PhD, is a Professor of Mathematics at Punjabi University Patiala in India.
Prabhat Ranjan, PhD, is an Assistant Professor in the Department of Mechatronics Engineering at Manipal University Jaipur.
A. K. Haghi, PhD, is the author and editor of 165 books, as well as 1000 published papers in various journals and conference proceedings.