Computable Calculus book cover

Computable Calculus

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, 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.

Audience
Applied mathematicians, numerical analysts, and computationally oriented scientists. Appropriate for upper-level undergraduate and graduate students and researchers.

Paperback, 192 Pages

Published: May 2001

Imprint: Academic Press

ISBN: 978-0-12-041752-0

Contents

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

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