Logic and Discrete Mathematics: A Concise Introduction (Paperback)
暫譯: 邏輯與離散數學:簡明導論 (平裝本)
Willem Conradie, Valentin Goranko
- 出版商: Wiley
- 出版日期: 2015-06-15
- 售價: $2,450
- 貴賓價: 9.5 折 $2,328
- 語言: 英文
- 頁數: 450
- 裝訂: Paperback
- ISBN: 1118751272
- ISBN-13: 9781118751275
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商品描述
A concise yet rigorous introduction to logic and discrete mathematics.
This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade.
The chapters on logic - propositional and first-order - provide a robust toolkit for logical reasoning, emphasizing the conceptual understanding of the language and the semantics of classical logic as well as practical applications through the easy to understand and use deductive systems of Semantic Tableaux and Resolution. The chapters on set theory, number theory, combinatorics and graph theory combine the necessary minimum of theory with numerous examples and selected applications. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in the accompanying solutions manual.
Key Features:
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Logic and Discrete Mathematics: A Concise Introduction is aimed mainly at undergraduate courses for students in mathematics and computer science, but the book will also be a valuable resource for graduate modules and for self-study.
商品描述(中文翻譯)
邏輯與離散數學的簡明而嚴謹的介紹。
本書獨特地結合了邏輯的全面覆蓋與離散數學最重要領域的扎實闡述,呈現出經過作者在十多年大學課程中測試和精煉的材料。
邏輯章節 - 命題邏輯和一階邏輯 - 提供了一套強大的邏輯推理工具,強調對語言和古典邏輯語義的概念理解,以及通過易於理解和使用的語義表和歸納法的推理系統的實際應用。集合論、數論、組合學和圖論的章節將必要的理論最小化,並結合了大量的例子和選定的應用。以清晰且易於讀者理解的風格撰寫,每個部分結尾都有一套廣泛的練習題,大多數題目都提供了完整的解答,這些解答可在隨附的解答手冊中找到。
主要特點:
- 適合數學和計算機科學學生的各類課程。
- 對古典邏輯的廣泛深入覆蓋,結合了對離散數學最重要領域的扎實闡述。
- 簡潔、清晰且不雜亂的呈現,並附有大量例子。
- 涵蓋一些應用,包括密碼系統、離散概率和網絡算法。
邏輯與離散數學:簡明介紹 主要針對數學和計算機科學的本科課程,但本書對於研究生課程和自學者也將是寶貴的資源。