Invitation to real analysis / Luis F. Moreno.

By:

Moreno, Luis F

Material type: Text

TextSeries: Publication details: Washington, DC : The Mathematical Association of America, [2015]Description: xviii, 661 p. : illISBN:

9781939512055 (hbk)
1939512050 (hbk)

Subject(s):

DDC classification:

515.8 MOR.I

Other classification:

Summary: "Investigation of the theorems and methods that establish calculus. It is a textbook for an analysis course following Calculus II. It emphasizes the writing of proofs, and extends the development of limits, sequences, and infinite series. Riemann integration is discussed in depth. The axiomatic structures presented here build upward from those for natural numbers to those for real numbers. Related topics will interest those who need a theoretical background for secondary school teaching, the sciences, and the technologies. Historical material is included throughout the text ... . Many diagrams and hints support students as they navigate through the topics. Detailed solutions to odd-numbered exercises are included."--Back cover.

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Holdings
Item type	Current library	Home library	Collection	Call number	Status	Date due	Barcode
Book	Dept. of Mathematics Processing Center	Dept. of Mathematics	Reference	515.8 MOR.I (Browse shelf(Opens below))	Available		MAT7344

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Previous	515.7246 DIN.N Nonnegative matrices positive operators and applications	515.7248 ALF.F Fixed point theory and graph theory : foundations and integrative approaches /	515.732 EDM>R Representations of linear operators between Banach spaces /	515.8 MOR.I Invitation to real analysis /	515.9 KYT.C Complex analysis : conformal inequalities and the Bieberbach conjecture /	515.9 KYT.H Handbook of conformal mappings and applications	515.9 ZIL.C Complex analysis a first course with applications	Next

Includes bibliographical references and index.

"Investigation of the theorems and methods that establish calculus. It is a textbook for an analysis course following Calculus II. It emphasizes the writing of proofs, and extends the development of limits, sequences, and infinite series. Riemann integration is discussed in depth. The axiomatic structures presented here build upward from those for natural numbers to those for real numbers. Related topics will interest those who need a theoretical background for secondary school teaching, the sciences, and the technologies. Historical material is included throughout the text ... . Many diagrams and hints support students as they navigate through the topics. Detailed solutions to odd-numbered exercises are included."--Back cover.

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