A Course of Modern Analysis (Cambridge Mathematical Library)
Edition: 4 edition
Publisher: Cambridge University Press
Published: September 13, 1996
Language: eng
Format: Paperback
Number of pages: 616
ISBN-13: 9780521588072
Subjects: Calculus & mathematical analysis; Probability & Statistics - General; Systems Analysis; Theory Of Functions; Mathematics; Science/Mathematics; Mathematical Analysis; Mathematics / Geometry / General; Functions; Advanced; Harmonic analysis; Series, Infinite
First sentence: The idea of a set of numbers is derived in the first instance from the consideration of the set of positive integral numbers, or positive integers;that is to say, the numbers 1, 2, 3, 4,... Positive integers have many properties, which will be found in treatises on the Theory of Integral Numbers; but at a very early stage in the development of mathematics it was found that the operations of Subtraction and Division could only be performed among them subject to inconvenient restrictions; and consequently, in elementary Arithmetic, classes of numbers are constructed such that the operations of subtraction and division can always be performed among them.