Applications of Calculus - Brossura

Brossura

ISBN 10: 0883850850 ISBN 13: 9780883850855

Casa editrice: The Mathematical Association of America, 1996

Riassunto

This book explains how calculus can be used to explain and analyze many diverse phenomena.

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Recensione

'It is very hard to find good applications for students. This volume has successfully done it. The benefits to be won with this collection of applications are great.' UMAP Journal

Contenuti

Part I. Calculus: I: Derivatives: 1. Arbitrating disputes: maximizing quadratic polynomials finds a fair solution to a labor dispute; 2. Fitting lines to data: minimizing quadratic polynomials finds the regression line to a data set; 3. Somewhere within the rainbow: minimizing trigonometric functions explains properties of the rainbow; 4. Three optimization problems in computing: maximizing functions shows how to store and transmit data most efficiently; 5. Newton's method and fractal patterns: Newton's method generates fractal designs in the complex plane; Part II. Calculus I: Differential Equations and Integrals: 6. How old is the Earth? The exponential decay of rubidium is used to date very old rocks; 7. Falling raindrops: four differential equation models describe how a raindrop falls; 8. Measuring voting power: Integrals of polynomials give a measure of voting power; 9. How to tune a radio: trigonometric integrals explain tuning a radio; 10. Volumes and hypervolumes: integrals calculate the volumes of objects in three and higher dimensions; Part III. Calculus II: 11. Reliability and the cost of guarantees: probability integrals predict how long equipment will last; 12. Queueing systems: differential equations and limits analyze waiting lines; 13. Moving a planar robot arm: derivatives guide a robot arm along a curve; 14. Design curves: parametric curves are used in computer-aided design of automobiles; 15. Modeling the AIDS epidemic: differential equations model the spread of AIDS; 16. Speedy sorting: integrals, limits, and L'Hôpital's rule compare the speed of sorting algorithms; Part IV. Calculus of Several Variables: 17. Hydro-turbine optimization: lagrange multipliers allocate water to hydroelectric turbines; 18. Portfolio theory: lagrange multipliers choose a best stock-market portfolio.

Dettagli dell'edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0883850850
• ISBN 13: 9780883850855
• Rilegatura: Copertina flessibile
• Numero di pagine: 273
• Redattore: Straffin Jr Philip D.
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia