ECCC BOOKS, LECTURES AND SURVEYS > A SIMPLE INTRODUCTION TO COMPUTABLE ANALYSIS FRAGMENTS OF A BOOK:
Klaus Weihrauch:
A Simple Introduction to Computable Analysis
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PDF-file of the entire book.
Contents:
- Chapter 1: Computability on finite and infinite words, naming systems
- Chapter 2: Computability on the real numbers
- Chapter 3: Effective representation of the real numbers
- Chapter 4: Open and compact sets
- Chapter 5: Continous functions
- Chapter 6: Determination of zeroes
- Chapter 7: Computation time and lookahead on \Sigma^\omega
- Chapter 8: Computational complexity of real functions
- Chapter 9: Other approaches to effective analysis
- the appendix
- reference list