Computable Calculus

ISBN-13: 9780120417520 / Angielski / Miękka / 2001 / 192 str.

U.S. College Station Oliver Aberth (Texas A & M University

Opis

Computable Calculus treats the fundamental topic of calculus in a novel way that is more in tune with today's computer age. Comprising 11 chapters and an accompanying CD-ROM, the book presents mathematical analysis that has been created to deal with constructively defined concepts. The book's "show your work" approach makes it easier to understand the pitfalls of various computations and, more importantly, how to avoid these pitfalls. The accompanying CD-ROM has self-contained programs that interact with the text, providing for easy grasp of the new concepts and enabling readers to write their own demonstration programs.

Contains software on CD ROM:

• The accompanying software demonstrates, through simulation and exercises, how each concept of calculus can be associated with a program for the 'ideal computer'
• Using this software readers will be able to write their own demonstration programs

Spis treści

The Real Numbers
Solvable Problems and Nonsolvable Problems
Sequences and Functions
The Ideal Computer
Limits
Uniformly Continuous Functions
The Derivative
The Riemann Integral
Functions of Two Variables
The Differential Equation y'=f(x,y)
Ideal Computer Simulation
References
About the CD