Download E-books Mathematical Foundations of Computer Science, Volume 1: Sets, Relations, and Induction PDF

By Peter A. Fejer, Dan A. Simovici

Mathematical Foundations of laptop technological know-how, quantity I is the 1st of 2 volumes proposing themes from arithmetic (mostly discrete arithmetic) that have confirmed appropriate and worthwhile to computing device technological know-how. This quantity treats easy issues, as a rule of a set-theoretical nature (sets, capabilities and family members, partly ordered units, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical rules by way of proposing functions to machine technology. Readers will locate beneficial functions in algorithms, databases, semantics of programming languages, formal languages, idea of computation, and software verification. the fabric is taken care of in a simple, systematic, and rigorous demeanour. the quantity is equipped via mathematical sector, making the fabric simply obtainable to the upper-undergraduate scholars in arithmetic in addition to in laptop technology and every bankruptcy incorporates a huge variety of routines. the quantity can be utilized as a textbook, however it can be necessary to researchers and pros who desire a thorough presentation of the mathematical instruments they wish in one resource. furthermore, the booklet can be utilized successfully as supplementary studying fabric in computing device technology classes, rather these classes which contain the semantics of programming languages, formal languages and automata, and good judgment programming.

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