책 이미지
책 정보
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 계산
· ISBN : 9780521567381
· 쪽수 : 556쪽
목차
Part I. Introduction: 1. Introduction; 2. Review of calculus in one dimension; 3. Piecewise polynomial approximation in one dimension; 4. Review of linear algebra; 5. A first example; 6. Review of numerical linear algebra; Part II. Archetypes: 7. An elliptic model problem; 8. A parabolic model problem; 9. A hyperbolic model problem; 10. An elliptic-hyperbolic model problem; 11. Systems of linear ode's; 12. Calculus of variations; 12. Computational mathematical modelling; Part III. Problems in Several Dimensions: 13. Review of calculus in several dimensions; 14. Elliptic problems; 15. The heat equation; 16. The wave equation; 17. Stationary convection-diffusion; 18. Time-dependent convection-diffusion; 19. Eigenvalue problems; 20. Power of abstraction; Part IV. Appendix: 21. History of calculus; 22. Femlab.