An Introduction to the Theory of Numbers

Livro digital

Título:
An Introduction to the Theory of Numbers

Autor:
Leo Moser

Categoria:
Tecnologia > Geral

Doador:
Raffaello D. N.

Sinopse:
Leo Moser opens with compositions and partitions, using them to lead readers straight into the core habits of elementary number theory: counting representations, tracking arithmetic functions, and turning simple questions into precise formulas. The table of contents makes that arc clear from the start, moving from compositions and partitions to arithmetic functions and the distribution of primes before reaching irrational numbers and congruences. The book then broadens into Diophantine equations, combinatorial number theory, and geometry of numbers, so the reader sees how the subject connects discrete counting with deeper structural problems. The later sections on classical unsolved problems, miscellaneous problems, and conjectures also signal that the text is not just a survey, but a guided tour through questions that shape the field. What makes this lecture-style introduction distinctive is its balance of accessibility and ambition. It stays elementary in method, yet reaches topics that sit near the frontier of number theory, giving readers both a workable foundation and a sense of where the hard questions live.