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9781460915196

A Course in Mathematical Analysis

by ;
  • ISBN13:

    9781460915196

  • ISBN10:

    1460915194

  • Format: Paperback
  • Copyright: 2010-01-01
  • Publisher: Createspace Independent Pub

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Summary

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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