ENGLISH

Mathematical Foundations of Computer Science

By Ashwin Lall

Book information

Publisher
CRC Press
Year
2024
ISBN
9781032467894, 9781032467870, 9781003383284
Language
english
Format
PDF
Filesize
13 MB (13696713 bytes)
Pages
228\228
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2024-10-12 12:21:04

Description

Mathematical Foundations of Computer Science introduces students to the discrete mathematics needed later in their Computer Science coursework with theory of computation topics interleaved throughout. Students learn about mathematical concepts just in time to apply them to theory of computation ideas. For instance, sets motivate the study of finite automata, direct proof is practised using closure properties, induction is used to prove the language of an automaton, and contradiction is used to apply the pumping lemma. The main content of the book starts with primitive data types such as sets and strings and ends with showing the undecidability of the halting problem. There are also appendix chapters on combinatorics, probability, elementary number theory, asymptotic notation, graphs, loop invariants, and recurrences. The content is laid out concisely with a heavy reliance on worked examples, of which there are over 250 in the book. Each chapter has exercises, totalling 550. This class-tested textbook is targeted to intermediate Computer Science majors, and it is primarily intended for a discrete math/proofs course in a Computer Science major. It is also suitable for introductory theory of computation courses.

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