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Mathematics of Chip Design

In: Production Factor Mathematics

Author

Listed:
  • Jürgen Koehl

    (IBM Deutschland Research & Development GmbH)

  • Bernhard Korte

    (Universität Bonn)

  • Jens Vygen

    (Universität Bonn)

Abstract

Chips are probably the most complex structures ever designed and produced by man. On a small silicon chip of the size of a fingernail, one is today able to accommodate billions of transistors, linked by millions of connecting wires whose total length can exceed several kilometres. Figure 1, which was made with a scanning tunnelling microscope, shows a very small part (about one billionth) of a modern chip with two wiring levels.

Suggested Citation

  • Jürgen Koehl & Bernhard Korte & Jens Vygen, 2010. "Mathematics of Chip Design," Springer Books, in: Martin Grötschel & Klaus Lucas & Volker Mehrmann (ed.), Production Factor Mathematics, pages 179-206, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-11248-5_10
    DOI: 10.1007/978-3-642-11248-5_10
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