Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI.

"Let me cut to the chase: Lagarias has assembled a fantastic book on a fascinating topic, and it is the type of book that the mathematical community could use more of. The book assembles a variety of articles written about the topic over the last forty years, coming to the material from different directions and using different flavors of mathematics, all in service of trying to solve this problem." —MAA Reviews"[This book] contains...two surveys by editor Lagarias...the world's foremost expert. [It also contains] a tremendously useful, richly annotated bibliography...[to] round out the volume. ....A must for all libraries. Highly recommended." —D.V. Feldman, Choice"[T]his book is a thorough account of an open and challenging problem." —Vincente Muqoz, The European Mathematical Society

• Overview and introduction: J. Lagarias, The $3x+1$ problem: An overviewJ. Lagarias, The $3x+1$ problem and its generalizationsSurvey papers: M. Chamberland, A $3x+1$ Survey: Number theory and dynamical systemsK. R. Matthews, Generalized $3x+1$ mappings: Markov chains and ergodic theoryP. Michel and M. Margenstern, Generalized $3x+1$ functions and the theory of computationStochastic modelling and computation papers: A. V. Kontorovich and J. Lagarias, Stochastic models for the $3x+1$ and $5x+1$ problems and related problemsT. O. e Silva, Empirical verification of the $3x+1$ and related conjecturesReprinted early papers: H. S. M. Coxeter, Cyclic sequences and Frieze patterns (The Fourth Felix Behrend Memorial Lecture)J. H. Conway, Unpredictable iterationsC. J. Everett, Iteration of the number-theoretic function $f(2n)=n,f(2n+1)=3n+2$R. K. Guy, Don't try to solve these problems!L. Collatz, On the motivation and origin of the $(3n+1)$-problemJ. H. Conway, FRACTRAN: A simple universal programming language for arithmeticAnnotated bibliography: J. Lagarias, The $3x+1$ problem: An annotated bibliography (1963-1999)

Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI.

"Let me cut to the chase: Lagarias has assembled a fantastic book on a fascinating topic, and it is the type of book that the mathematical community could use more of. The book assembles a variety of articles written about the topic over the last forty years, coming to the material from different directions and using different flavors of mathematics, all in service of trying to solve this problem." —MAA Reviews"[This book] contains...two surveys by editor Lagarias...the world's foremost expert. [It also contains] a tremendously useful, richly annotated bibliography...[to] round out the volume. ....A must for all libraries. Highly recommended." —D.V. Feldman, Choice"[T]his book is a thorough account of an open and challenging problem." —Vincente Muqoz, The European Mathematical Society

• Overview and introduction: J. Lagarias, The $3x+1$ problem: An overviewJ. Lagarias, The $3x+1$ problem and its generalizationsSurvey papers: M. Chamberland, A $3x+1$ Survey: Number theory and dynamical systemsK. R. Matthews, Generalized $3x+1$ mappings: Markov chains and ergodic theoryP. Michel and M. Margenstern, Generalized $3x+1$ functions and the theory of computationStochastic modelling and computation papers: A. V. Kontorovich and J. Lagarias, Stochastic models for the $3x+1$ and $5x+1$ problems and related problemsT. O. e Silva, Empirical verification of the $3x+1$ and related conjecturesReprinted early papers: H. S. M. Coxeter, Cyclic sequences and Frieze patterns (The Fourth Felix Behrend Memorial Lecture)J. H. Conway, Unpredictable iterationsC. J. Everett, Iteration of the number-theoretic function $f(2n)=n,f(2n+1)=3n+2$R. K. Guy, Don't try to solve these problems!L. Collatz, On the motivation and origin of the $(3n+1)$-problemJ. H. Conway, FRACTRAN: A simple universal programming language for arithmeticAnnotated bibliography: J. Lagarias, The $3x+1$ problem: An annotated bibliography (1963-1999)

Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI.

"Let me cut to the chase: Lagarias has assembled a fantastic book on a fascinating topic, and it is the type of book that the mathematical community could use more of. The book assembles a variety of articles written about the topic over the last forty years, coming to the material from different directions and using different flavors of mathematics, all in service of trying to solve this problem." —MAA Reviews"[This book] contains...two surveys by editor Lagarias...the world's foremost expert. [It also contains] a tremendously useful, richly annotated bibliography...[to] round out the volume. ....A must for all libraries. Highly recommended." —D.V. Feldman, Choice"[T]his book is a thorough account of an open and challenging problem." —Vincente Muqoz, The European Mathematical Society

• Overview and introduction: J. Lagarias, The $3x+1$ problem: An overviewJ. Lagarias, The $3x+1$ problem and its generalizationsSurvey papers: M. Chamberland, A $3x+1$ Survey: Number theory and dynamical systemsK. R. Matthews, Generalized $3x+1$ mappings: Markov chains and ergodic theoryP. Michel and M. Margenstern, Generalized $3x+1$ functions and the theory of computationStochastic modelling and computation papers: A. V. Kontorovich and J. Lagarias, Stochastic models for the $3x+1$ and $5x+1$ problems and related problemsT. O. e Silva, Empirical verification of the $3x+1$ and related conjecturesReprinted early papers: H. S. M. Coxeter, Cyclic sequences and Frieze patterns (The Fourth Felix Behrend Memorial Lecture)J. H. Conway, Unpredictable iterationsC. J. Everett, Iteration of the number-theoretic function $f(2n)=n,f(2n+1)=3n+2$R. K. Guy, Don't try to solve these problems!L. Collatz, On the motivation and origin of the $(3n+1)$-problemJ. H. Conway, FRACTRAN: A simple universal programming language for arithmeticAnnotated bibliography: J. Lagarias, The $3x+1$ problem: An annotated bibliography (1963-1999)