Mathematics Applied to Engineering in Action

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.

*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.

Autorentext

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.

Klappentext

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.

Inhalt

1. Quantum Information Perspective on Chemical Reactivity 2. A Computational Modeling of the Structure, Frontier Molecular Orbital (FMO) Analysis, and Global and Local Reactive Descriptors of a Phytochemical 'Coumestrol' 3. Theoretical Analysis of CuTiS2and CuTise2 Invoking Density Functional Theory Based Descriptors 4. Synergistic Effect of E. crassipes Biomass/Chitosan for As(III) Remediation from Water 5. Computational Investigations on Metal Oxide Clusters and Graphene-Based Nanomaterials for Heterogeneous Catalysis 6. Effect of Dye Concentration on Series Resistance of Thionin Dye-Based Organic Diode 7. On Gower's Inverse Matrix 8. Noether's Theorem 9. Mathematical Modeling of Elastic-Plastic Transitional Stresses in Human Femur and Tibia Bones Exhibiting Orthotropic Macro Structural Symmetry 10. Lorentz Transformations, Dirac Matrices, and 3-Rotations via Quaternions 11. Multiscale Approach toward the Modeling and Simulation of Carbon Nanotubes Networks 12. When Perovskites Memorize