Computable Calculus


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


Book information

  • Published: May 2001
  • ISBN: 978-0-12-041752-0

Table of 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