책 이미지
eBook 미리보기
책 정보
· 제목 : The Ultimate Challenge (Hardcover) (The 3x+1 Problem)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780821849408
· 쪽수 : 344쪽
· 출판일 : 2011-12-29
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780821849408
· 쪽수 : 344쪽
· 출판일 : 2011-12-29
목차
- Part I. Overview and introduction
- The 3��+1 problem: An overview
- The 3��+1 problem and its generalizations
- Part II. Survey papers
- A 3��+1 Survey: Number theory and dynamical systems
- Generalized 3��+1 mappings: Markov chains and ergodic theory
- Generalized 3��+1 functions and the theory of computation
- Part III. Stochastic modelling and computation papers
- Stochastic models for the 3��+1 and 5��+1 problems and related problems
- Empirical verification of the 3��+1 and related conjectures
- Part IV. Reprinted early papers
- Cyclic sequences and Frieze patterns (The Fourth Felix Behrend Memorial Lecture)
- Unpredictable iterations
- Iteration of the number-theoretic function ��(2��)=��,��(2��+1)=3��+2
- Don’t try to solve these problems!
- On the motivation and origin of the (3��+1)-problem
- FRACTRAN: A simple universal programming language for arithmetic
- Part V. Annotated bibliography
- The 3��+1 problem: An annotated bibliography (1963–1999)
