Engineering Analysis
Advanced Mathematical Methods for Engineers
- 1st Edition - September 2, 2024
- Author: Zhihe Jin
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 5 3 9 7 - 9
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 5 3 9 6 - 2
Engineering Analysis: Advanced Mathematical Methods for Engineers introduces graduate engineering students to the fundamental but advanced mathematics tools used in engineeri… Read more
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Request a sales quoteEngineering Analysis: Advanced Mathematical Methods for Engineers introduces graduate engineering students to the fundamental but advanced mathematics tools used in engineering application, especially in mechanical, aerospace, and civil engineering. Most engineering problems are described by differential equations, particularly partial differential equations (PDEs). Deformation and failure in solid structures, fluid flow, heat transfer, and mass diffusion are all governed by PDEs in general. Many physical quantities in engineering are tensors, including deformation gradient, strain rates, stresses, elastic stiffness, and thermal conductivity of composite materials. This book helps engineering graduate students develop the skills to establish the mathematical models of engineering problems and to solve the problems described by the mathematical models.
- Incorporates numerous engineering examples to help students better understand mathematical concepts and methods for developing mathematical models and finding the solutions of engineering problems
- Integrates the MATLAB computation tool with many MATLAB programs to enhance students’ ability to solve engineering problems
- Includes tensor analysis to better prepare students for advanced engineering courses such as theory of elasticity, fluid dynamics, and heat transfer. Inclusion of tensor analysis also allows a unified treatment of vector and tensor calculus
Graduate engineering students studying advanced engineering math primarily in mechanical and aerospace engineering programs / Navstem estimates the overall US academic market size at 32,000 students. The number of students taking engineering analysis/advanced math at the graduate level is estimated to be about half, or approximately 16,000 students
PART I ORDINARY DIFFERENTIAL EQUATIONS – ADVANCED TOPICS
1. Ordinary Differential Equations and Power Series Solutions
2. The Frobenius Method
3. The Laplace Transform Method
4. Numerical Solutions of Ordinary Differential Equations
PART II FOURIER ANALYSIS
5. Fourier Series
6. Fourier Transforms
PART III PARTIAL DIFFERENTIAL EQUATIONS
7. Partial Differential Equations in Engineering
8. Separation of Variables Method
9. Separation of Variables Method – Circular and Spherical Regions
10. Integral Transform Methods
11. The Finite Difference Method
PART IV TENSOR ANALYSIS
12. Cartesian Tensors
13. Tensor Analysis
1. Ordinary Differential Equations and Power Series Solutions
2. The Frobenius Method
3. The Laplace Transform Method
4. Numerical Solutions of Ordinary Differential Equations
PART II FOURIER ANALYSIS
5. Fourier Series
6. Fourier Transforms
PART III PARTIAL DIFFERENTIAL EQUATIONS
7. Partial Differential Equations in Engineering
8. Separation of Variables Method
9. Separation of Variables Method – Circular and Spherical Regions
10. Integral Transform Methods
11. The Finite Difference Method
PART IV TENSOR ANALYSIS
12. Cartesian Tensors
13. Tensor Analysis
- No. of pages: 500
- Language: English
- Edition: 1
- Published: September 2, 2024
- Imprint: Academic Press
- Paperback ISBN: 9780323953979
ZJ
Zhihe Jin
Zhihe Jin is a Professor in the Department of Mechanical Engineering at the University of Maine. He obtained his Ph.D. in Engineering Mechanics from Tsinghua University in 1988. His research areas include fracture mechanics, thermal stresses, poromechanics, biomechanics and thermoelectricity. His research is mainly concerned with the mathematical theories and solutions of fracture, deformation, heat conduction, porous fluid flow and thermoelectric energy conversion efficiency. He has published more than 100 refereed journal papers and 6 book chapters. He also co-authored a textbook on fracture mechanics published in 2011 (Sun & Jin, Fracture Mechanics 1e, Elsevier). He has taught 11 undergraduate and graduate courses including Mechanical Engineering Analysis at the University of Maine.
Affiliations and expertise
Department of Mechanical Engineering, University of Maine, Maine, USA