Skip to main content

Foundations of Computer Science and Mathematics

  • Chapter
Complexity Theory and Cryptology

Part of the book series: Texts in Theoretical Computer Science An EATCS Series ((TTCS))

  • 1373 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

2.7 Summary and Bibliographic Remarks

  1. H. Anton. Elementary Linear Algebra. John Wiley and Sons, New York, eighth edition, 2000.

    Google Scholar 

  2. A. Brandstädt, V. Le, and J. Spinrad. Graph Classes: A Survey. SIAM Monographs on Discrete Mathematics and Applications. Society for Industrial and Applied Mathematics, Philadelphia, PA, 1999.

    Google Scholar 

  3. T. Cormen, C. Leiserson, R. Rivest, and C. Stein. Introduction to Algorithms. MIT Press and McGraw-Hill, second edition, 2001.

    Google Scholar 

  4. W. Feller. Introduction to Probability Theory and its Applications, volume 1. John Wiley and Sons, 1968.

    Google Scholar 

  5. M. Golumbic. Algorithmic Graph Theory and Perfect Graphs. Academic Press, 1980.

    Google Scholar 

  6. F. Harary. Graph Theory. Addison-Wesley, 1969.

    Google Scholar 

  7. J. Hopcroft, R. Motwani, and J. Ullman. Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, second edition, 2001.

    Google Scholar 

  8. S. Homer and A. Selman. Computability and Complexity Theory. Texts in Computer Science. Springer-Verlag, 2001.

    Google Scholar 

  9. G. Hardy and E. Wright. An Introduction to the Theory of Numbers. Clarendon Press, Oxford, 5th edition, 1979.

    Google Scholar 

  10. N. Jacobson. Basic Algebra I. W. H. Freeman, 1974.

    Google Scholar 

  11. S. Kleene. Introduction to Metamathematics. D. van Nostrand Company, Inc., New York and Toronto, 1952.

    Google Scholar 

  12. P. Odifreddi. Classical Recursion Theory. North-Holland, 1989.

    Google Scholar 

  13. T. Ottmann and P. Widmayer. Algorithmen und Datenstrukturen. Spektrum Akademischer Verlag, Heidelberg, Berlin, fourth edition, 2002. In German.

    Google Scholar 

  14. C. Papadimitriou. Computational Complexity. Addison-Wesley, 1994.

    Google Scholar 

  15. H. Rogers, Jr. The Theory of Recursive Functions and Effective Computability. McGraw-Hill, 1967.

    Google Scholar 

  16. K. Rosen. Elementary Number Theory and its Applications. Addison-Wesley, 1999.

    Google Scholar 

  17. M. Rabin and D. Scott. Finite automata and their decision problems. IBM Journal of Research and Development, 3:114–125, 1959.

    Google Scholar 

  18. A. Salomaa. Formal Languages. Academic Press, 1973.

    Google Scholar 

  19. U. Schöning. Algorithmik. Spektrum Akademischer Verlag, Heidelberg, Berlin, 2001. In German.

    Google Scholar 

  20. U. Schöning. Logik für Informatiker. Spektrum Akademischer Verlag, Heidelberg, Berlin, 1995. In German.

    Google Scholar 

  21. J. Shoenfield. Mathematical Logic. Addison-Wesley, 1967.

    Google Scholar 

  22. A. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society, ser. 2, 42:230–265, 1936. Correction, ibid, vol. 43, pp. 544–546, 1937.

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2005). Foundations of Computer Science and Mathematics. In: Complexity Theory and Cryptology. Texts in Theoretical Computer Science An EATCS Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28520-2_2

Download citation

  • DOI: https://doi.org/10.1007/3-540-28520-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22147-0

  • Online ISBN: 978-3-540-28520-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics