- Oliver Aberth, Texas A & M University, College Station, U.S.A.
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.View full description
Applied mathematicians, numerical analysts, and computationally oriented scientists. Appropriate for upper-level undergraduate and graduate students and researchers.
- Published: May 2001
- Imprint: ACADEMIC PRESS
- ISBN: 978-0-12-041752-0
Table of ContentsIntroduction; 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