Logic and Discrete Mathematics: A Concise Introduction (Paperback)

Willem Conradie, Valentin Goranko

  • 出版商: Wiley
  • 出版日期: 2015-06-15
  • 售價: $2,900
  • 貴賓價: 9.5$2,755
  • 語言: 英文
  • 頁數: 450
  • 裝訂: Paperback
  • ISBN: 1118751272
  • ISBN-13: 9781118751275
  • 海外代購書籍(需單獨結帳)

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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:

  • Suitable for a variety of courses for students in both Mathematics and Computer Science.
  • Extensive, in-depth coverage of classical logic, combined with a solid exposition of a selection  of the most important fields of discrete mathematics
  • Concise, clear and uncluttered presentation with numerous examples.
  • Covers some applications including cryptographic systems, discrete probability and network algorithms.
 

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)

一本簡潔而嚴謹的邏輯和離散數學入門書籍。

這本書結合了全面的邏輯涵蓋範圍和對離散數學最重要領域的深入解說,內容經過作者在大學課程中的測試和改進,已有十多年的教學經驗。

邏輯章節 - 命題邏輯和一階邏輯 - 提供了一個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解析法的實際應用。集合論、數論、組合數學和圖論章節結合了必要的理論最低限度和大量的例子和選擇的應用。以清晰和讀者友好的風格撰寫,每個章節結束時都有大量的練習題,其中大部分都提供了完整的解答,這些解答可以在附帶的解答手冊中找到。

主要特點:

- 適用於數學和計算機科學專業的各種課程。
- 對古典邏輯進行廣泛而深入的涵蓋,同時對離散數學的一些重要領域進行了扎實的解說。
- 簡潔、清晰且不混亂的呈現方式,並附有大量的例子。
- 包括一些應用,如加密系統、離散概率和網絡算法。

《邏輯和離散數學:簡明介紹》主要面向數學和計算機科學專業的本科課程,但這本書也是研究生課程和自學的寶貴資源。