A first course in real analysis / Sterling K. Berberian.
By: Berberian, Sterling K
.
Material type: 
BookSeries: Undergraduate texts in mathematics. New York : Springer-Verlag, c1994Description: xi, 237 pages : illustrations ; 25 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781461264330; 0387942173; 3540942173 .Subject(s): Mathematical analysis | Numbers, RealDDC classification: 515.8 Online resources: Publisher description | Table of contents only | Item type | Current location | Home library | Collection | Shelving location | Call number | Status | Notes | Date due | Barcode |
|---|---|---|---|---|---|---|---|---|---|
2 Hour Special Reserve
|
Matheson Library | Matheson Library | Special Reserve | Special Reserve | SR 515.8 B484 (Browse shelf) | Available | Recommended text for MC | 163246 |
"With 19 illustrations"
Includes bibliographical references and indexes.
Content:
Ch. 1. Axioms for the Field R of Real Numbers
Ch. 2. First Properties of R
Ch. 3. Sequences of Real Numbers, Convergence
Ch. 4. Special Subsets of R
Ch. 5. Continuity
Ch. 6. Continuous Functions on an Interval
Ch. 7. Limits of Functions
Ch. 8. Derivatives
Ch. 9. Riemann Integral
Ch. 10. Infinite Series
Ch. 11. Beyond the Riemann Integral.
Summary:
"This book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done". - Author
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