Name: From Collatz to Black Holes. Iteration in Number Theory (en Inglés)
SKU: 67269640
Price: 102.74 PEN
Availability: InStock
Author: Jason Earls
ISBN: 9781291770889

portada From Collatz to Black Holes. Iteration in Number Theory (en Inglés)

From Collatz to Black Holes. Iteration in Number Theory (en Inglés)

Formato

Libro Físico

Editorial

Lulu.com

Autor

Jason Earls

Año

2026

Idioma

Inglés

N° páginas

232

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x1.2 cm

ISBN13

9781291770889

From Collatz to Black Holes. Iteration in Number Theory (en Inglés)

Jason Earls (Autor) · Lulu.com · Tapa Blanda

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Reseña del libro "From Collatz to Black Holes. Iteration in Number Theory (en Inglés)"

Explore the endlessly surprising landscape of iteration - where the simplest rules unleash wildly unpredictable behavior, endless fascination, and occasional startling proofs. In 'From Collatz to Black Holes: Iteration in Number Theory,' Jason Earls takes readers on a fascinating journey through one of the most addictive corners of recreational mathematics.

It begins with the legendary Collatz 3n+1 problem: start with any positive integer; if it is even, divide by 2, and if it is odd, apply 3n+1. Repeat the process and watch the sequence behave in ways that defy intuition. Will it always reach 1? No one knows, yet generations of mathematicians and enthusiasts have been captivated by the challenge.

From there, Earls explores a rich collection of iterative puzzles: the reverse-and-add 196 problem that resists palindromes, digit-sum cycles, sums of squared digits, and the dramatic heights reached by juggler sequences. The book also introduces the author's own creation - the Black Hole 14 divisor-digit iteration.

Blending computation, experimentation, and accessible proofs, the book also revisits classic iterative ideas such as Newton's square-root method and the Euclidean algorithm, alongside surprising explorations involving reversals, max digits, factorizations, and happy palindromic numbers. Historical essays bring to life figures like Fermat, Erdős, Turing, Feigenbaum, and Collatz.

Simple rules. Unexpected depths. The thrill of discovery. Experiment, compute, question - and perhaps prove something new.