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Published in:
Basic Mathematical Thinking Read chapter Read first chapter

2019 | OriginalPaper | Chapter

11. An Introduction to Computational Complexity

Author : Ferrante Neri

Published in: Linear Algebra for Computational Sciences and Engineering

Publisher: Springer International Publishing

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Abstract

This chapter is not strictly about algebra. However, this chapter offers a set of mathematical and computational instruments that will allow us to introduce several concepts in the following chapters. Moreover, the contents of this chapter are related to algebra as they are ancillary concepts that help (and in some cases allow) the understanding of algebra. More specifically, this chapter gives some basics of complexity theory and discrete mathematics and will attempt to answer to the question: “What is a hard problem?”

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previous chapter Linear Mappings
next chapter Graph Theory
Literature
21.
A. Cobham, “The intrinsic computational difficulty of functions,” Proc. Logic, Methodology, and Philosophy of Science II, North Holland, 1965.
22.
D. Kozen, Theory of computation. Birkhäuser, 2006.
23.
S. Arora and B. Barak, Computational Complexity: A Modern Approach. New York, NY, USA: Cambridge University Press, 1st ed., 2009.
24.
D. Huffman, “A method for the construction of minimum-redundancy codes,” Proceedings of the IRE, vol. 40, pp. 1098–1101, 1952.CrossRef
25.
J. Łukasiewicz, Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic. Oxford University Press, 1957.MATH
Metadata
Title
An Introduction to Computational Complexity
Author
Ferrante Neri
Copyright Year
2019
Book
Linear Algebra for Computational Sciences and Engineering

Print ISBN: 978-3-030-21320-6

Electronic ISBN: 978-3-030-21321-3

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-21321-3_11

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