Guide to Discrete Mathematics: An Accessible Introduction to the History, Theory, Logic and Applications (Texts in Computer Science)
Gerard O'Regan
- 出版商: Springer
- 出版日期: 2016-09-26
- 售價: $2,450
- 貴賓價: 9.5 折 $2,328
- 語言: 英文
- 頁數: 368
- 裝訂: Hardcover
- ISBN: 331944560X
- ISBN-13: 9783319445601
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相關分類:
Computer-Science
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商品描述
This stimulating textbook presents a broad and accessible guide to the fundamentals of discrete mathematics, highlighting how the techniques may be applied to various exciting areas in computing. The text is designed to motivate and inspire the reader, encouraging further study in this important skill.
Features: provides an introduction to the building blocks of discrete mathematics, including sets, relations and functions; describes the basics of number theory, the techniques of induction and recursion, and the applications of mathematical sequences, series, permutations, and combinations; presents the essentials of algebra; explains the fundamentals of automata theory, matrices, graph theory, cryptography, coding theory, language theory, and the concepts of computability and decidability; reviews the history of logic, discussing propositional and predicate logic, as well as advanced topics; examines the field of software engineering, describing formal methods; investigates probability and statistics.
商品描述(中文翻譯)
這本引人入勝的教科書提供了一個廣泛且易於理解的離散數學基礎指南,強調這些技術如何應用於計算領域的各種令人興奮的領域。文本旨在激勵和啟發讀者,鼓勵他們在這項重要技能上進一步學習。
特色:介紹離散數學的基本構件,包括集合、關係和函數;描述數論的基本概念、歸納法和遞迴的技術,以及數學序列、級數、排列和組合的應用;呈現代數的基本要素;解釋自動機理論、矩陣、圖論、密碼學、編碼理論、語言理論的基本原理,以及可計算性和可判定性的概念;回顧邏輯的歷史,討論命題邏輯和謂詞邏輯,以及進階主題;考察軟體工程領域,描述形式方法;研究概率和統計。