Working Analysis
Gebonden Engels 2004 9780121876043Samenvatting
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.
Specificaties
Lezersrecensies
Inhoudsopgave
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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