Mathematics: A Discrete Introduction, 3/e (Paperback)
暫譯: 數學:離散導論(第三版,平裝本)

Edward R. Scheinerman

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商品描述

本書序言

●This edition has been revised based on input from reviewers and users, as well as the author's understanding of the course. This includes correcting and adding to the existing content.
●Featuring more than 25% increase in problems. Some of these new problems, which are included in problem sets and chapter tests, are interrelated to develop ideas across chapters, providing a stronger understanding of the materiel.

本書特色

●Hints: Appendix A contains an extensive collection of hints (and some answers when necessary) that point students in the correct direction.
●Flexible Coverage: The topics can be arranged in various ways, allowing instructors to take a computer science and engineering focus, an abstract algebra focus, a discrete structures focus, or a broad focus.
●Self-Tests: A self-test appears at the end of every chapter. The problems are of various degrees of difficulty, and complete answers appear in Appendix B.
●Induction: The sections on mathematical induction have been reworked with new motivational material, more examples, and more problems. The induction section is now essentially independent of the proof by smallest counterexample section.
●The book includes sections covering topics such as recurrence relations and combinatorial proof.
●The introductory section, "Joy," motivates students by describing the pleasure of doing mathematics.
●Proof Templates: Proof templates appear throughout the book and give students the basic skeleton of the proof as well as boilerplate language.
●Growing Proofs: The author teaches students how to write proofs by instructing them to begin their proofs by first writing the first sentence and next writing the last sentence. Students then work the proof from both ends until they meet in the middle.
●Mathspeak: Marginal notes explain many of the idiosyncrasies of mathematical English.

商品描述(中文翻譯)

本書序言

●本版根據評審和使用者的意見,以及作者對課程的理解進行了修訂。這包括對現有內容的修正和補充。

●問題數量增加超過25%。這些新問題中,有些包含在問題集和章節測驗中,彼此之間相互關聯,以促進跨章節的概念發展,提供對材料更深入的理解。

本書特色

●提示:附錄A包含大量提示(必要時還有一些答案),幫助學生朝正確方向前進。

●靈活的內容安排:主題可以以多種方式排列,允許講師專注於計算機科學與工程、抽象代數、離散結構或廣泛的主題。

●自我測試:每章結尾都有自我測試。問題的難度各異,完整答案在附錄B中提供。

●數學歸納法:數學歸納法的部分經過重新編寫,加入了新的激勵材料、更多範例和更多問題。歸納法部分現在基本上獨立於最小反例證明部分。

●本書包括涵蓋遞迴關係和組合證明等主題的部分。

●引言部分「快樂」通過描述數學的樂趣來激勵學生。

●證明模板:證明模板貫穿全書,為學生提供證明的基本框架和標準語言。

●逐步證明:作者教導學生如何撰寫證明,指導他們先寫出第一句話,然後寫出最後一句話。學生然後從兩端開始進行證明,直到在中間相遇。

●數學語言:邊欄註解解釋了數學英語的許多特點。

目錄大綱

1. FUNDAMENTALS. 
2. COLLECTIONS. 
3. COUNTING AND RELATIONS. 
4. MORE PROOF. 
5. FUNCTIONS. 
6. PROBABILITY. 
7. NUMBER THEORY. 
8. ALGEBRA. 
9. GRAPHS. 
10. PARTIALLY ORDERED SETS. 
APPENDICES. 
Lots of Hints and Comments; Some Answers. Solutions to Self Tests. Glossary. Fundamentals. 

目錄大綱(中文翻譯)

1. FUNDAMENTALS. 

2. COLLECTIONS. 

3. COUNTING AND RELATIONS. 

4. MORE PROOF. 

5. FUNCTIONS. 

6. PROBABILITY. 

7. NUMBER THEORY. 

8. ALGEBRA. 

9. GRAPHS. 

10. PARTIALLY ORDERED SETS. 

APPENDICES. 

Lots of Hints and Comments; Some Answers. Solutions to Self Tests. Glossary. Fundamentals.