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A first course in real analysis/ Sterling K Berberian

By: Material type: TextTextSeries: Undergraduate texts in mathematicsPublication details: New York: Springer-Verlag, 1994.Description: xi,237pISBN:
  • 9781493991044
Subject(s): DDC classification:
  • 515 BER/F
Summary: The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series--are built, with logical continuity (i.e., "rigor"), starting from the real number system. The first chapter sets down precise axioms for the real number system, from which all else is derived using the logical tools summarized in an Appendix. The discussion of the "fundamental theorem of calculus," the focal point of the book, especially thorough. The concluding chapter establishes a significant beachhead in the theory of the Lebesgue integral by elementary means.
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Holdings
Item type Current library Home library Call number Status Date due Barcode
Book Book Study Centre Alappuzha, University of Kerala Processing Center Study Centre Alappuzha, University of Kerala 515 BER/F (Browse shelf(Opens below)) Not For Loan USCA4686

Includes bibliographical refernces and Index.

The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series--are built, with logical continuity (i.e., "rigor"), starting from the real number system. The first chapter sets down precise axioms for the real number system, from which all else is derived using the logical tools summarized in an Appendix. The discussion of the "fundamental theorem of calculus," the focal point of the book, especially thorough. The concluding chapter establishes a significant beachhead in the theory of the Lebesgue integral by elementary means.

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