Number Theory

Download E-books Numbers: Rational and Irrational PDF

By Ivan Niven

Sequence: Anneli Lax New Mathematical Library

A tremendous improvement that begins with the usual numbers and includes the reader in the course of the rationals and their decimal representations to algebraic numbers after which to the true numbers. alongside the best way, you will discover characterizations of the rationals and of convinced specific (Liouville) transcendental numbers. This fabric is simple to all of algebra and research.

This booklet offers with the quantity method, one of many simple constructions in arithmetic. it truly is involved in particular with methods of classifying numbers into quite a few different types; for instance, it offers a few standards for finding out if a given quantity is rational (i.e., representable as a typical fraction) or irrational, whether it is algebraic or transcendental. during the later chapters, the reader is brought to a few of the newer advancements in arithmetic. Professor Niven’s ebook will be learn with revenue by means of highschool scholars in addition to by means of students and others who need to know extra in regards to the simple points of natural arithmetic. such a lot readers will locate the early chapters good inside of their take hold of whereas formidable readers will revenue by way of the extra complex fabric to be present in later chapters.

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