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Books on the topic 'Complexity theory'

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Published: 4 June 2021

Last updated: 25 May 2024

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1

Hartmanis, Juris, ed. Computational Complexity Theory. Providence, Rhode Island: American Mathematical Society, 1989. http://dx.doi.org/10.1090/psapm/038.

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2

Selman, Alan L., ed. Complexity Theory Retrospective. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-4478-3.

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3

Bürgisser, Peter, Michael Clausen, and Mohammad Amin Shokrollahi. Algebraic Complexity Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03338-8.

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4

Steven, Rudich, and Wigderson Avi, eds. Computational complexity theory. [Providence, R.I.]: American Mathematical Society, Institute for Advanced Study, 2004.

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5

Parallel complexity theory. London: Pitman, 1987.

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6

Peter, Bürgisser. Algebraic complexity theory. Berlin: Springer, 1997.

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7

Watanabe, Osamu. Kolmogorov Complexity and Computational Complexity. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992.

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8

Arslanov, Marat M., and Steffen Lempp, eds. Recursion Theory and Complexity. Berlin, Boston: DE GRUYTER, 1999. http://dx.doi.org/10.1515/9783110807486.

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9

Abu-Mostafa, Yaser S. Complexity in Information Theory. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-3774-7.

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10

Hemaspaandra, Lane A., and Alan L. Selman, eds. Complexity Theory Retrospective II. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1872-2.

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11

Du, Ding-Zhu, and Ker-I. Ko. Theory of Computational Complexity. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2000. http://dx.doi.org/10.1002/9781118032916.

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12

Du, Ding-Zhu, and Ker-I. Ko. Theory of Computational Complexity. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9781118595091.

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13

Selman, Alan L., ed. Structure in Complexity Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/3-540-16486-3.

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14

Homer, Steven, and Alan L. Selman. Computability and Complexity Theory. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-0682-2.

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15

Homer, Steven, and Alan L. Selman. Computability and Complexity Theory. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3544-4.

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16

Hemaspaandra, Lane A., and Mitsunori Ogihara. The Complexity Theory Companion. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04880-1.

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17

Complexity: Theory and applications. New York, NY: Oxford University Press, 2004.

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18

1963-, Ogihara Mitsunori, ed. The complexity theory companion. Berlin: Springer, 2002.

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19

V, Book Ronald, ed. Studies in complexity theory. London: Pitman, 1986.

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20

Hemaspaandra, Lane A. The Complexity Theory Companion. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002.

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21

Abu-Mostafa, Yaser S. Complexity in Information Theory. New York, NY: Springer New York, 1988.

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22

1957-, Abu-Mostafa Yaser S., ed. Complexity in information theory. New York: Springer-Verlag, 1988.

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23

A, Hemaspaandra Lane, and Selman Alan L, eds. Complexity theory retrospective II. New York: Springer, 1997.

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24

K, Ambos-Spies, Homer S, and Schöning Uwe 1955-, eds. Complexity theory: Current research. Cambridge: Cambridge University Press, 1993.

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25

L, Selman Alan, and Structure in Complexity Theory Conference, (5th : 1990 : Universitat Politècnica de Catalunya, Barcelona), eds. Structure in complexity theory. Amsterdam: Elsevier, 1993.

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26

Ko, Ker-I. Studies in complexity theory. Edited by Mahaney Stephen R, McAloon Kenneth, and Book Ronald V. London: Pitman Advanced Publishing Program, 1986.

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27

Zhang, Wei-Bin. Complexity Theory and Uncertainties. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-42394-9.

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28

Cvetkov, Viktor. Basics of complexity theory. ru: INFRA-M Academic Publishing LLC., 2024. http://dx.doi.org/10.12737/2110856.

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The monograph reveals the basics of complexity theory and methods for assessing complexity. The concept of complexity consideration is based on the analysis of complexity as a common attribute in processes and systems. The monograph describes the main methods for assessing different types of complexity. The concept of considering complexity in this monograph is also based on the fact that complexity is a comparative characteristic. It is given on a relative scale of difficulty. Therefore, complexity must be defined on a relative scale of “simplicity-complexity.” This concept motivates the consideration and analysis of the concept of “simplicity” as a complement to the concept of “complexity”. These concepts set the scale of complexity. The monograph provides a comparative analysis of the related concepts of simplicity and complexity. Three methods for assessing complexity are described: expert assessment of complexity, assessment of complexity using mathematical metrics, comparative assessment of complexity based on the theory of comparative analysis. The monograph contains a taxonomy of the main types of complexity. The content of the main types of complexity is revealed in detail: descriptive complexity, system complexity, modeling complexity, computational complexity. algorithmic complexity, deterministic complexity. Specific cognitive difficulties are described in detail. For cognitive complexity, special assessment methods are used. An interpretation of the concept of cognitive filter is given. Complexity is associated with the concept of complex systems. In most monographs on complex systems, the complexity aspect has not been considered or is viewed in a simplified manner. This monograph examines complexity as a characteristic of complex systems and the basis for their classification. Emergence is described as a characteristic of the complexity of systems and complex processes. The monograph contains a taxonomy of complex systems with characteristics of the complexity of different systems. Complex data systems have been explored. An analysis of organizational complex systems is given. Various types of complex ergatic systems have been described. An analysis of complex technical systems is given. Self-developing complex systems are described. autopoiesis of a complex organizational and technical system has been studied as a principle of systems development. Cyber-physical systems are described as an example of the development of complex systems. The monograph is intended for specialists in the field of computer science, systems analysis, artificial intelligence and philosophy of information.

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29

L, Gordon Robert, ed. Complexity theory and project management. Hoboken, NJ: Wiley, 2010.

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30

Curlee, Wanda, and Robert L. Gordon. Complexity Theory and Project Management. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2010. http://dx.doi.org/10.1002/9780470949986.

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31

Ortega, Lourdes, and ZhaoHong Han, eds. Complexity Theory and Language Development. Amsterdam: John Benjamins Publishing Company, 2017. http://dx.doi.org/10.1075/lllt.48.

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32

Ko, Ker-I. Complexity Theory of Real Functions. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4684-6802-1.

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33

Lolli, G., ed. Recursion Theory and Computational Complexity. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11072-6.

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34

Yamakami, Tomoyuki. Average case computational complexity theory. Toronto: University of Toronto, Dept. of Computer Science, 1997.

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35

Strevens, Michael. Complexity Theory. Edited by Paul Humphreys. Oxford University Press, 2015. http://dx.doi.org/10.1093/oxfordhb/9780199368815.013.35.

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Complexity theory attempts to explain, at the most general possible level, the interesting features of complex systems. Two such features are the emergence of simple or stable behavior of the whole from relatively complex or unpredictable behavior of the parts and the emergence of sophisticated behavior of the whole from relatively simplistic behavior of the parts. Often, both kinds of emergence are found nested in the same system. Concerning the emergence of simplicity, this essay examines Herbert Simon’s explanation from near-decomposability and a stochastic explanation that generalizes the approach of statistical physics. A more general notion of an abstract difference-making structure is introduced with examples, and a discussion of evolvability follows. Concerning the emergence of sophistication, this chapter focuses on, first, the energetics approach associated with dissipative structures and the “fourth law of thermodynamics” and, second, the notion of a “complex adaptive system.”

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36

Complexity Theory. Berlin/Heidelberg: Springer-Verlag, 2005. http://dx.doi.org/10.1007/3-540-27477-4.

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37

Mazlum, Hakan. Complexity Theory. Tilki Kitap, 2020.

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38

Wegener, Ingo. Complexity Theory. Springer, 2008.

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39

Algebraic Complexity Theory. Springer, 2010.

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40

Pycroft, Aaron, and Clemens Bartollas, eds. Applying complexity theory. Policy Press, 2014. http://dx.doi.org/10.1332/policypress/9781447311409.001.0001.

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41

Pycroft, Aaron, and Clemens Bartollas, eds. Applying Complexity Theory. Bristol University Press, 2014. http://dx.doi.org/10.46692/9781447311416.

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This is the first book to explore the application of complexity theory to difficult practice issues in criminal justice and social work. Bringing together experts in this emerging field to address complexity theory from a range of perspectives, it provides a detailed but accessible discussion of the key issues to whole systems approaches.

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42

Parameterized Complexity Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-29953-x.

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43

Juris, Hartmanis, and American Mathematical Society, eds. Computational complexity theory. Providence, R.I: American Mathematical Society, 1989.

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44

Complexity Theory Retrospective. Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1990.

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45

Parameterized Complexity Theory. Springer, 2010.

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46

Flum, J., and M. Grohe. Parameterized Complexity Theory. Springer, 2006.

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47

Bürgisser, Peter, Michael Clausen, T. Lickteig, and Mohammad A. Shokrollahi. Algebraic Complexity Theory. Springer London, Limited, 2013.

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48

Watanabe, Osamu. Kolmogorov Complexity and Computational Complexity. Springer, 2011.

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49

Du, Ding-Zhu, and Ker-I. Ko. Theory of Computational Complexity. Wiley & Sons, Incorporated, John, 2014.

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50

Selman, Alan L., and Lane Hemaspaandra. Complexity Theory Retrospective II. Springer, 2012.

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