Problems With a Point:Exploring Math and Computer Science

图书简介

Ever notice how people sometimes use math words inaccurately? Or how sometimes you instinctively know a math statement is false (or not known)? Each chapter of this book makes a point like those above and then illustrates the point by doing some real mathematics through step-by-step mathematical techniques. This book gives readers valuable information about how mathematics and theoretical computer science work, while teaching them some actual mathematics and computer science through examples and exercises. Much of the mathematics could be understood by a bright high school student. The points made can be understood by anyone with an interest in math, from the bright high school student to a Field’s medal winner.

Stories with a Point: When Terms from Math are Used by Civilians ...; Sports Violate the Rules of Mathematics!; Dispelling the Myth That the Early Logicians Were a Few Axioms Short of a Complete Set; What Is a Simple Function?; How Do Mathematical Objects Get Named?; Gathering for Gardner: Recreational vs. Serious Mathematics; Timing is Everything! Every Planar Graph is 4.5-Colorable; Ramsey Theory and History: An Example of Interdisciplinary Research; Ramsey Theory and History: An Example of Interdisciplinary Research — An Alternative View; Lets Prove Something Instead of Proving That We Can’t Prove Something!!!; Problems with a Point: Funny Answers to Math Questions; What is an Elegant Proof? Some Coloring Theorems; A High School Math Competition Problem Inspires an Infinite Number of Proofs; Is This Problem Too Hard for a High School Math Competition?; What is an Elegant Proof? A Theorem about Digits; Is This Problem Interesting?; A Hat Problem, Its Generalizations, and a Story!; Trick Question or Stupid Question?; Multiparty Communication Complexity: A Fun Approach; Theorems with a Point: What is Obvious?; Is There a Pattern? Is It Interesting? Perfect Numbers and Sums of Cubes; A Sane Reduction of COL₄ to COL₃ Rectangle Free Coloring of Grids; If That Were True I Would Know it! A Result in Kolmogorov Complexity;

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Problems With a Point:Exploring Math and Computer Science 关键问题：探索数学和计算机科学 计算机科学技术基础学科

Problems With a Point:Exploring Math and Computer Science

关键问题：探索数学和计算机科学
计算机科学技术基础学科