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A Course In Mathematical Analysis: Volume 1
Paperback
General MathematicsGeneral World History
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ISBN10: 1460915194
ISBN13: 9781460915196
Publisher: Createspace
Published: Jan 1 2010
Pages: 560
Weight: 2.18
Height: 1.14 Width: 7.44 Depth: 9.69
Language: English
ISBN13: 9781460915196
Publisher: Createspace
Published: Jan 1 2010
Pages: 560
Weight: 2.18
Height: 1.14 Width: 7.44 Depth: 9.69
Language: English
Since mathematical analysis is essentially the science of the continuum, it would seem that every course in analysis should begin, logically, with the study of irrational numbers. I have supposed, however, that the student is already familiar with that subject. The theory of incommensurable numbers is treated in so many excellent well-known works f that I have thought it useless to enter upon such a discussion. As for the other fundamental notions which lie at the basis of analysis, such as the upper limit, the definite integral, the double integral, etc., I have endeavored to treat them with all desirable rigor, seeking to retain the elementary character of the work, and to avoid generalizations which would be superfluous in a book intended for purposes of instruction.
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