Working analysis
著者
書誌事項
Working analysis
Elsevier, c2005
大学図書館所蔵 全3件
内容説明・目次
内容説明
Working Analysis is for a two semester course in advanced calculus. It develops the basic ideas of calculus rigorously but with an eye to showing how mathematics connects with other areas of science and engineering. In particular, effective numerical computation is developed as an important aspect of mathematical analysis.
目次
Preface
Part I: 1. Foundations
2. Sequences of Real Numbers
3. Continuity
4. The Derivative
5. Higher Derivatives and Polynomial Approximation
6. Solving Equations in One Dimension
7. Integration
8. Series
Appendix I
Part II: 9. Convergence and Continuity in Rn
10. The Derivative in Rn
11. Solving Systems of Equations
12. Quadratic Approximation and Optimization
13. Constrained Optimization
14. Integration in Rn
15. Applications of Integration to Differential Equations
Appendix II
Solutions to Selected Exercises
References
Index
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