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Concepts of Modern Mathematics

Concepts of Modern Mathematics

rw-book-cover

Metadata

  • Author: Ian Stewart
  • Full Title: Concepts of Modern Mathematics
  • Category: #books

Highlights

  • This means, for example, that from the facts that 1 ≡ 8 and 3 ≡ 10 (mod 7) we can deduce that 1+3 = 4 is congruent to 8+10 = 18; and that 1×3 = 3 is congruent to 8×10 = 80. As a check, the differences 14 and 77 are both divisible by 7. (Location 657)
  • 10 Boolean algebra is of some use in the design of logic circuits for computers (see e.g. Rutherford, Introduction to Lattice Theory, Oliver & Boyd, 1965, pp. 31—40, 58-74). Apart from its connection with set theory it has little relevance to the main body of mathematics. However, quite a deep theory exists. See P. R. Halmos, Lectures on Boolean Algebras, Van Nostrand, 1963. (Location 5542)

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title: Concepts of Modern Mathematics longtitle: Concepts of Modern Mathematics author: Ian Stewart url: , source: kindle last_highlight: 2014-03-18 type: books tags:

Concepts of Modern Mathematics

rw-book-cover

Metadata

  • Author: Ian Stewart
  • Full Title: Concepts of Modern Mathematics
  • Category: #books

Highlights

  • This means, for example, that from the facts that 1 ≡ 8 and 3 ≡ 10 (mod 7) we can deduce that 1+3 = 4 is congruent to 8+10 = 18; and that 1×3 = 3 is congruent to 8×10 = 80. As a check, the differences 14 and 77 are both divisible by 7. (Location 657)
  • 10 Boolean algebra is of some use in the design of logic circuits for computers (see e.g. Rutherford, Introduction to Lattice Theory, Oliver & Boyd, 1965, pp. 31—40, 58-74). Apart from its connection with set theory it has little relevance to the main body of mathematics. However, quite a deep theory exists. See P. R. Halmos, Lectures on Boolean Algebras, Van Nostrand, 1963. (Location 5542)