MCM/ICM数学建模竞赛. 第1卷

(美) 贝朗格 (Belanger,J.) , (美) 比彻 (Beecher,A.) , (美) 王杰, 编著

出版社：高等教育出版社

年代：2014

定价：39.0

书籍简介:

本系列丛书是以美国大学生数学建模竞赛（MCM/ICM）赛题为主要研究对象，结合竞赛特等奖的优秀论文，对相关的问题进行解析与研究。本辑针对2014年MCM/ICM竞赛的3个题目：The Keep-Right-Except-To-Pass Rule、College Coaching Legends以及Using Networks to Measure Influence and Impact进行了解析与研究。本书由美国资深建模教师编写，由于参赛论文需要用英语书写，同时考虑到不同层次读者的需要，故本书为英文呈现。读者在学习建模方法的同时，可以了解美国建模教师对问题的理解。本书内容新颖、实用性强，目前国内尚无同类作品。本书可作为指导学生参加美国大学生数学建模竞赛的主讲教材，也可作为本科生、研究生学习和准备全国大学生、研究生数学建模竞赛的参考书，同时也可供研究相关问题的教师和研究生参考使用。

作者介绍:

Dr. Jay Belanger，mathematics professor at Truman State University inKirksville, Missouri, USA. He received his PhD degree in Mathematics from PrincetonUniversity in 1987 and his BS degree in Mathematics from the University ofMichigan at Ann Arbor in 1983. He has published research papers in complex analysis,computational complexity theory, mathematical computing, and the historyof mathematics. He has judged for the MCM contest and co-authored two books inthe HEP series on MCM/ICM Contests Guides and Solutions. Since 2011 he hasserved as a member of the editorial board of the series. 　　　　Dr. Amanda Beecher，mathematics professor at Ramapo College of NewJersey in Mahwah, New Jersey, USA. She received her PhD （2007）, MS （2003）, andBS （2001） degrees in Mathematics from the University at Albany, State Universityof New York. She publishes in commutative algebra. She taught at the United StatesMilitary Academy at West Point for three years, where she began involvement withthe MCM/ICM contests. She was a judge for the ICM contest over the past sevenyears, and wrote commentaries to provide teams with additional feedback for thepast four years. She was a final judge for the ICM Problem C in 2013 and 2014.She is serving as Head Judge for the 2015 ICM contest Problem D. 　　　　Dr. Jie Wang，Editor-in-Chief of the HEP book series on MCM/ICM ContestsGuides and Solutions and COMAP’s Director for China Partnerships. He isProfessor and Chair of Computer Science at the University of Massachusetts inLowell, Massachusetts, USA. He has written problems for the MCM and served asa final judge multiple times, including ICM 2014. He received his PhD degree inComputer Science from Boston University in 1990, MS degree in Computer Sciencefrom Zhongshan University in 1985, and BS degree in Computational Mathematics 　　from Zhongshan University in 1982. His research interests include big data modelingand applications, algorithms and computational optimization, and networksecurity. His research has been funded continuously by the National Science Foundationsince 1991. IBM, Intel, Google, and the Natural Science Foundation of Chinaalso funded his research. He has published over 160 journal and conference papers,6 books and 4 edited books. He is active in professional service, including chairingconference program committees, organizing workshops, and serving as an editor fora number of journals.

书籍目录:

1 Introduction

1.1 A Brief History of Math Contests

1.2 The MCM

1，3 The ICM

1.4 Classifications of the MCM／ICM Papers

2 Preparation and Participation

2.1 Judging

2.2 Triage

2.3 Further Evaluations

2.4 Modeling for the MCM and ICM

2.4.1 Things to pay attention to

2.4.2 Reading and restating the problem

2.4.3 Give exact mathematical meanings to keywords

2.4.4 Models are for solving problems

2.4.5 Literature search

2.4.6 Assumptions

2.4.7 Creating models

2.4.8 Finding solutions

2.4.9 Stability and sensitivity

2.4.10 Writing up the solution

2.5 Before the Contest

2.5.1 Form the best team

2.5.2 Practice

2.6 Task Scheduling During the Contest

2.7 Exercises

3 The Keep-Right-Except-To-Pass Rule

3.1 Problem Description

3.2 How to Approach the Problem

3.2.1 Previous work on traffic flow

3.2.2 A general approach

3.2.3 The Nagel-Schreckenberg model

3.3 Outstanding Winners

3.4 Approach 1： Traffic and Cellular Automata

3.4.1 Models

3.4.2 Running the model

3.4.3 Comparing the rules

3.4.4 Improved rules

3.4.5 Sensitivity testing

3.4.6 Further questions

3.5 Approach 2： Traffic and Continuous Models

3.5.1 A one-lane model

3.5.2 A two-lane model

3.5.3 Steady state solutions

3.5.4 Traffic density

3.6 Comments

3.7 Exercises

4 College Coaching Legends

4.1 Problem Description

4.2 How to Approach the Problem

4.2.1 How to begin

4.2.2 The Analytic Hierarchy Process

4.3 Outstanding Winners

4.4 Approach 1：Ranking by Weighted Average of Selected Criteria

4.4.1 Select a sport and coaches

4.4.2 Set up ranking criteria

4.4.3 Method 1： Analytic Hierarchy Process

4.4.4 Method 2： Entropy

4.4.5 Evaluations

4.4.6 Combining the models

……

5 Using Networks to Measure Influence and Impact

Index

References

内容摘要:

《MCM/ICM数学建模竞赛（第1卷英文版）》由高等教育出版社和美国数学及应用联合会（COMAP）合作出版，由美国大学生数学建模竞赛（MCM/ICM）评委亲自编写，竞赛主席做序并推荐。书中对竞赛题目分析清晰透彻，对Outstanding Winners论文点评言简意赅，英文流畅纯正，表述简明易懂，读者可以从中深入体会竞赛的主旨以及竞赛问题的精髓。
　　《MCM/ICM数学建模竞赛（第1卷英文版）》共包括5章，第1、2章为MCM/ICM竞赛简介和赛前准备，第3-5章分别为2014年MCM/ICM竞赛3个题目的分析与解答：靠右行驶规则的交通流量问题、最佳教练评选问题以及使用网络评测影响力问题。
　　《MCM/ICM数学建模竞赛（第1卷英文版）》实用性强，可供参加美国大学生数学建模竞赛的读者参考使用。读者既可以了解掌握各种建模方法，也可以培养用英文进行写作与思考。

编辑推荐:

《MCM/ICM数学建模竞赛第1卷英文版》内容新颖、实用性强，目前国内尚无同类作品。《MCM/ICM数学建模竞赛第1卷英文版》可作为指导学生参加美国大学生数学建模竞赛的主讲教材，也可作为本科生、研究生学习和准备全国大学生、研究生数学建模竞赛的参考书，同时也可供研究相关问题的教师和研究生参考使用。《ICM Contests V：Mathematical Modeling for the MCM》内容新颖、实用性强，目前国内尚无同类作品。《MCM/ICM数学建模竞赛第1卷英文版》可作为指导学生参加美国大学生数学建模竞赛的主讲教材，也可作为本科生、研究生学习和准备全国大学生、研究生数学建模竞赛的参考书，同时也可供研究相关问题的教师和研究生参考使用。

书籍规格:

书籍详细信息
书名	MCM/ICM数学建模竞赛. 第1卷站内查询相似图书
丛书名	美国MCM/ICM竞赛指导丛书
	9787040416763 如需购买下载《MCM/ICM数学建模竞赛. 第1卷》pdf扫描版电子书或查询更多相关信息，请直接复制isbn,搜索即可全网搜索该ISBN
出版地	北京	出版单位	高等教育出版社
版次	1版	印次	1
定价(元)	39.0	语种	英文
尺寸	24 × 17	装帧	平装
页数		印数	3000

全网搜索试读资源

书籍信息归属:

MCM/ICM数学建模竞赛. 第1卷是高等教育出版社于2014.12出版的中图分类号为 O141.4-44 的主题关于数学模型－竞赛题－研究－英文的书籍。