Discrete Mathematics with Applications, 5/e (Metric Edition)(Paperback)
暫譯: 離散數學與應用,第五版(公制版)(平裝本)

Susanna S. Epp

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商品描述

本書序言

●Discussion of strings and graphs begins in Chapter 1 and is integrated with applications throughout the text. The handshake theorem, previously in Chapter 12, is now in Chapter 4.
●This title is now available with WebAssign, including innovative new exercise types that guide and assess students' abilities to complete proofs.
●New material was added on binary search trees, cryptographic hash functions, bound variables and scope in mathematics and computer programming, and the use of cryptography for message authentication.
●Sections on quantifier use, the concept of mathematical proof, proof-writing advice, and set theory proofs were revised and expanded based on classroom experience, and new types of exercises were added.
●The sections introducing mathematical induction were reorganized, discussion of structural induction was expanded, and additional applications of induction were provided.
●Explanations for two’s complements and for O-, Ω-, and Θ-Notations were significantly simplified.

本書特色

●Over 500 worked examples in problem-solution format guide students in building a conceptual understanding of how to solve problems. Proof solutions are intuitively developed in two steps, a discussion on how to approach the proof and a summary of the solution, allowing students the choice of faster or more deliberate instruction depending on how well they understand the problem.
●Flexible organization, allowing instructors the ability to mix core and optional topics easily to suit a wide variety of discrete math course syllabi and topic focus.
●Features, definitions, theorems, and exercise types are clearly marked and easily navigable, making the book an excellent reference that students will want to keep and continually refer back to in their later courses.
●A large number of computer science applications are included, both to motivate students and to ease their transition into more advanced computer science courses.
●Epp addresses inherent difficulties in understanding logic and language with very concrete and easy-to-conceptualize examples, an approach that helps students with a variety of backgrounds better comprehend basic mathematical reasoning, and enables them to construct sound mathematical arguments.
●More than 2500 exercises provide ample practice for students, with numerous applied problems covering an impressive array of applications.

商品描述(中文翻譯)

本書序言

● 字串和圖形的討論從第一章開始,並在全書中與應用整合。握手定理,之前在第十二章,現在移至第四章。

● 本書現在可與 WebAssign 一起使用,包括創新的新類型練習,指導和評估學生完成證明的能力。

● 新增了有關二元搜尋樹、加密雜湊函數、數學和計算機程式設計中的有界變數和範圍,以及用於訊息驗證的加密技術的材料。

● 基於課堂經驗,對量詞使用、數學證明的概念、寫證明的建議和集合論證明的部分進行了修訂和擴展,並新增了類型練習。

● 介紹數學歸納法的部分進行了重組,擴展了結構歸納法的討論,並提供了歸納法的額外應用。

● 對二的補數以及 O-、Ω- 和 Θ- 符號的解釋進行了顯著簡化。

本書特色

● 超過 500 個以問題解決格式呈現的範例,指導學生建立解決問題的概念理解。證明解決方案以兩個步驟直觀地發展,首先討論如何接近證明,然後總結解決方案,讓學生根據對問題的理解程度選擇更快或更深入的教學。

● 靈活的組織結構,讓教師能夠輕鬆混合核心和選修主題,以適應各種離散數學課程大綱和主題重點。

● 特徵、定義、定理和練習類型清晰標示且易於導航,使本書成為學生希望保留並在後續課程中不斷參考的優秀參考書。

● 包含大量計算機科學應用,既能激勵學生,又能幫助他們順利過渡到更高級的計算機科學課程。

● Epp 以非常具體且易於概念化的範例,解決理解邏輯和語言的固有困難,這種方法幫助各種背景的學生更好地理解基本數學推理,並使他們能夠構建合理的數學論證。

● 超過 2500 道練習題為學生提供了充足的練習,涵蓋了令人印象深刻的應用範疇的眾多應用問題。

目錄大綱

1.SPEAKING MATHEMATICALLY.
2.THE LOGIC OF COMPOUND STATEMENTS.
3.THE LOGIC OF QUANTIFIED STATEMENTS.
4.ELEMENTARY NUMBER THEORY AND METHODS OF PROOF.
5.SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION.
6.SET THEORY.
7.PROPERTIES OF FUNCTIONS.
8.PROPERTIES OF RELATIONS.
9.COUNTING AND PROBABILITY.
10.THEORY OF GRAPHS AND TREES.
11.ANALYSIS ALGORITHM EFFICIENCY.
12.REGULAR EXPRESSIONS AND FINITE-STATE AUTOMATA.
Appendix A Properties of the Real Numbers
Appendix B Solutions and Hints to Selected Exercises

目錄大綱(中文翻譯)

1.SPEAKING MATHEMATICALLY.

2.THE LOGIC OF COMPOUND STATEMENTS.

3.THE LOGIC OF QUANTIFIED STATEMENTS.

4.ELEMENTARY NUMBER THEORY AND METHODS OF PROOF.

5.SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION.

6.SET THEORY.

7.PROPERTIES OF FUNCTIONS.

8.PROPERTIES OF RELATIONS.

9.COUNTING AND PROBABILITY.

10.THEORY OF GRAPHS AND TREES.

11.ANALYSIS ALGORITHM EFFICIENCY.

12.REGULAR EXPRESSIONS AND FINITE-STATE AUTOMATA.

Appendix A Properties of the Real Numbers

Appendix B Solutions and Hints to Selected Exercises