Mathematical analysis in engineering : how to use the basic tools
著者
書誌事項
Mathematical analysis in engineering : how to use the basic tools
Cambridge University Press, 1995
大学図書館所蔵 件 / 全16件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 453-456) and index
内容説明・目次
内容説明
This user-friendly 1995 text shows how to use mathematics to formulate, solve and analyse physical problems. Rather than follow the traditional approach of stating mathematical principles and then citing some physical examples for illustration, the book puts applications at centre stage; that is, it starts with the problem, finds the mathematics that suits it and ends with a mathematical analysis of the physics. Physical examples are selected primarily from applied mechanics. Among topics included are Fourier series, separation of variables, Bessel functions, Fourier and Laplace transforms, Green's functions and complex function theories. Also covered are advanced topics such as Riemann-Hilbert techniques, perturbation methods, and practical topics such as symbolic computation. Engineering students, who often feel more awe than confidence and enthusiasm toward applied mathematics, will find this approach to mathematics goes a long way toward a sharper understanding of the physical world.
目次
- Preface
- Achnowledgments
- 1. Formulation of physical problems
- 2. Classification of equations
- 3. One-dimensional waves
- 4. Finite domains and separation of variables
- 5. Elements of Fourier series
- 6. Introduction to Green's functions
- 7. Unbounded domains and Fourier transforms
- 8. Bessel functions and circular domains
- 9. Complex variables
- 10. Laplace transform and initial value problems
- 11. Conformal mapping and hydrodynamics
- 12. Riemann-Hilbert problems in hydrodynamics and elasticity
- 13. Perturbation methods - the art of approximation
- 14. Computer algebra for perturbation analysis
- Appendices
- Bibliography
- Index.
「Nielsen BookData」 より
