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
Applied mathematicians, numerical analysts, and computationally oriented scientists. Appropriate for upper-level undergraduate and graduate students and researchers.
Introduction; 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; Index
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- © Academic Press 2001
- Academic Press
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Oliver Aberth received his B.S. from City College of New York, his M.S. from Massachusetts Institute of Technology, and his Ph.D. from the University of Pennsylvania. He is also the author of Computable Analysis (McGraw-Hill, 1980) and Precise Numerical Methods Using C++ (Academic Press, 1998). He was professor of mathematics at Texas A & M University from 1970 to 1999. He is currently professor emeritus at Texas A & M University.
Texas A & M University, College Station, U.S.A.