Titlebook: Understand Mathematics, Understand Computing; Discrete Mathematics Arnold L. Rosenberg,Denis Trystram Textbook 2020 Springer Nature Switzer

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Numbers III: Operational Representations and Their Consequences,Numbers are intangible idealizations. One must endow numbers with names before one can manipulate them and compute with them. Historically, we have employed a broad range of mechanisms for naming numbers.

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The Art of Counting: Combinatorics, with Applications to Probability and Statistics,We have named this chapter in honor of the great German mathematician Gottfried Leibniz, whose 1666 doctoral thesis1 gave us the now-common phrase, “the art of counting”.

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Graphs II: Graphs for Computing and Communicating,Chapter 12 has laid the groundwork for an intensive study of the many ways in which graphs and graph-related concepts find application within the fields of computing and communicating.

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