Jeffery Cooper,
Jeffery (University of Maryland, U.S.A.) Cooper
Elsevier Science
e druk, 2004
9780121876043
Working Analysis
Specificaties
Gebonden, blz.
|
Engels
Elsevier Science |
e druk, 2004
ISBN13: 9780121876043
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
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
Inhoudsopgave
Preface<br>Part I: 1. Foundations<br>2. Sequences of Real Numbers<br>3. Continuity<br>4. The Derivative<br>5. Higher Derivatives and Polynomial Approximation<br>6. Solving Equations in One Dimension<br>7. Integration<br>8. Series<br>Appendix I<br>Part II: 9. Convergence and Continuity in Rn<br>10. The Derivative in Rn<br>11. Solving Systems of Equations<br>12. Quadratic Approximation and Optimization<br>13. Constrained Optimization<br>14. Integration in Rn<br>15. Applications of Integration to Differential Equations<br>Appendix II<br>Solutions to Selected Exercises<br>References<br>Index