Animating Calculus: Mathematica Notebooks for the Laboratory - Brossura

Packel, Ed

Brossura

ISBN 10: 0387947485 ISBN 13: 9780387947488

Casa editrice: Springer New York, 1996

Riassunto

Animating Calculus is designed to help you explore calculus and visualize concepts through the use of computation and animation. This collection of 22 labs, together with the computer algebra system Mathematica, can be used for self-study, demonstration, or as a laboratory supplement to an existing calculus sequence. Standard calculus topics as well as new and unusual extensions and applications are presented, including derivatives and rate of change, calculus and landing airplanes, population dynamics and iteration, the fundamental theorem, The Buffon needle problem, numerical and symbolic integration, rolling wheels (round and square), subtleties of the harmonic series, and more.
Animating Calculus includes exercises and demonstrations that focus on important and fundamental ideas and applications rather than the everyday mechanics of a computer algebra system. Sophisticated animations are used to clarify geometric concepts in calculus. In addition, discussions of numerical and graphical pitfalls help the student to understand the importance of verifying results.
Originally published by W. H. Freeman, this new TELOS edition of Animating Calculus includes the full set of labs for DOS/Windows as well as Macintosh platforms.

Su questo libro

L'autore

Ed Packel is the Volwiler Professor of Mathematics and Computer Science at Lake Forest College, Lake Forest, Illinois.

Contenuti

LAB 1 Initiation.- LAB 2 Plotting.- LAB 3 Derivatives: Measuring the Rate of Change.- LAB 4 The Race to Infinity.- LAB 5 Indeterminate Limits and L’Hôpital’s Rule.- LAB 6 Using Calculus to Land an Airplane.- LAB 7 Max-Min Methods: Mind Meets Machine.- LAB 8 Staying on Track with Newton’s Method.- LAB 9 Population Dynamics, Iteration, and Chaos.- LAB 10 What Is an Integral?.- LAB 11 The Fundamental Theorem.- LAB 12 The Needle Problem.- LAB 13 Integration by Machine.- LAB 14 Numerical Integration.- LAB 15 Differential Equations and Euler’s Method.- LAB 16 Probability and Calculus.- LAB 17 Roses, Snails, and Butterflies.- LAB IS Rolling Wheels.- LAB 19 Infinite Series of Constants.- LAB 20 Rhythm and Dissonance in the Harmonic Series.- LAB 21 Polynomial Approximation and Taylor Series.- LAB 22 A Deceptive Definite Integral.- APPENDIX 1 Troubleshooting.

Dettagli dell?edizione

• Editore: Springer New York
• Data di pubblicazione: 1996
• ISBN 10: 0387947485
• ISBN 13: 9780387947488
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 312