工学のための発展的数学（テキスト） Advanced Mathematics for Engineering Students : The Essential Toolbox

Lewis, Brent J./ Onder, E. Nihan/ Prudil, Andrew

Butterworth-Heinemann Inc（2021/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 432 p.
• 言語 ENG
• 商品コード 9780128236819
• DDC分類 620.00151

Full Description

Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author's university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering - a "toolbox” for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).

Contents

1. Prologue
2. Ordinary Differential Equations
3. Laplace and Fourier Transform Methods
4. Matrices and Linear Systems of Equations
5. Analytical Methods for Solving Partial Differential Equations
6.Difference Numerical Methods for Differential Equations
7. Finite Element Technique
8. Treatment of Experimental Results
9. Numerical Analysis
10. Introduction to Complex Analysis
11. Nondimensionalisation
12. Nonlinear Differential Equations
13. Integral Equations
14. Calculus of Variations