ler totalmente From Counting to Continuum: What Are Real Numbers, Really?

Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of numbers from whole numbers to fractions to exotic ones like π, are, frankly, really difficult to describe rigorously. Instead of waiting to take a theorem-proof graduate course to appreciate the real numbers, readers new to university-level mathematics can explore the core ideas behind the construction of the real numbers in this friendly introduction. Beginning with the intuitive notion of counting, the book progresses step-by-step to the real numbers. Each sort of number is defined in terms of a simpler kind by developing an equivalence relation on a previous idea. We find the finite sets' equivalence classes are the natural numbers. Integers are equivalence classes of pairs of natural numbers. Modular numbers are equivalence classes of integers. And so forth. Exercises and their solutions are included.

Procurando From Counting to Continuum: What Are Real Numbers, Really?? Aqui você encontra tudo sobre este livro de Edward Scheinerman em 12 de dezembro de 2024. Nesta página estão a descrição da obra, os detalhes da edição (228 páginas) e os formatos disponíveis para baixar: pdf, epub, txt, djvu. Se você gosta de Livros Internacionais, Ciências Tecnológicas, Matemática, Análise Matemática, explore também outros títulos da mesma categoria no Encontrando os melhores livros. Veja ainda as outras obras de Edward Scheinerman em nosso catálogo.