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题名/责任者:

Mathematical foundations of computer science / Ashwin Lall.

版本说明:

First edition.

出版发行项:

Boca Raton : CRC Press, 2025.

ISBN:

9781032467894

ISBN:

1032467894

ISBN:

9781032467870

ISBN:

1032467878

载体形态项:

xiii, 213 pages : illustrations ; 26 cm

个人责任者:

Lall, Ashwin, author.

论题主题:

Computer science-Mathematics-Textbooks.

中图法分类号:

TP301.6-43

书目附注:

Includes bibliographical references (pages 209-210) and index.

摘要附注:

"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. The authors hope this book breeds curiosity into the subject and is designed to satisfy this to some extent by reading this book. The book will prepare readers for deeper study of game theory applications in many fields of study"--

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