Understand Mathematics, Understand Computing: Discrete Mathematics That All Computing Students Should Know
暫譯: 理解數學,理解計算:所有計算學生應該知道的離散數學

Rosenberg, Arnold L., Trystram, Denis

  • 出版商: Springer
  • 出版日期: 2021-12-07
  • 售價: $2,860
  • 貴賓價: 9.5$2,717
  • 語言: 英文
  • 頁數: 580
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3030583783
  • ISBN-13: 9783030583781
  • 海外代購書籍(需單獨結帳)

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商品描述

Introduction.- "Doing" Mathematics: A Toolkit for Mathematical Reasoning.- Sets and Their Algebras: The Stem Cells of Mathematics.- Numbers I: The Basics of Our Number System.- Arithmetic: Putting Numbers to Work.- Summations: Complex Operations from Simple Components.- The Vertigo of Infinity: Handling the Very Large and the Infinite.- Numbers II: Building the Integers and Building with the Integers.- Recurrences: Rendering Complex Structure Manageable.- Numbers III: Operational Representations and Their Consequences.- The Art of Counting: Combinatorics, Probability, and Statistics.- Graphs I: Representing Relationships Mathematically.- Graphs II: Graphs Within Computation and Communication.- Solutions to Exercises.- App. A, Pairing Functions.- App. B, A Deeper Look at the Fibonacci Numbers.- App. C, Two Recurrence-Defined Number Families.- App. D, Signed-Digit Numerals: Carry-Free Addition.- App. E, The Diverse Delights of de Bruijn Networks.- List of Symbols.- References.- Index.

商品描述(中文翻譯)

引言.- 「做」數學:數學推理的工具包.- 集合及其代數:數學的幹細胞.- 數字 I:我們數字系統的基礎.- 算術:讓數字發揮作用.- 總和:從簡單組件到複雜運算.- 無限的眩暈:處理非常大和無限的數量.- 數字 II:構建整數及用整數構建.- 循環:使複雜結構可管理.- 數字 III:運算表示及其後果.- 計數的藝術:組合學、概率與統計.- 圖形 I:數學上表示關係.- 圖形 II:計算與通信中的圖形.- 練習題解答.- 附錄 A,配對函數.- 附錄 B,更深入了解費波那契數.- 附錄 C,兩個循環定義的數字家族.- 附錄 D,帶符號的數字:無進位加法.- 附錄 E,de Bruijn 網絡的多樣樂趣.- 符號列表.- 參考文獻.- 索引.

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