| Document Type
|
:
|
BL
|
| Record Number
|
:
|
750025
|
| Doc. No
|
:
|
b569984
|
| Main Entry
|
:
|
Robert Carlson
|
| Title & Author
|
:
|
A Concrete Introduction to Real Analysis.\ Robert Carlson
|
| Publication Statement
|
:
|
Philadelphia: PA CRC Press, 2006. ©2006.
|
| Series Statement
|
:
|
Textbooks in Mathematics.
|
| Page. NO
|
:
|
(308 pages).
|
| ISBN
|
:
|
1420011545
|
|
|
:
|
: 9781420011548
|
| Contents
|
:
|
Front cover --; Contents --; Preface --; Chapter 1. Discrete Calculus --; Chapter 2. Selected Area Computations --; Chapter 3. Limits and Taylor's Theorem --; Chapter 4. Infinite Series --; Chapter 5. A Bit of Logic --; Chapter 6. Real Numbers --; Chapter 7. Functions --; Chapter 8. Integrals --; Chapter 9. More Integrals --; References.
|
| Abstract
|
:
|
DISCRETE CALCULUSIntroductionProof by InductionA Calculus of Sums and DifferencesSums of PowersProblemsSELECTED AREA COMPUTATIONSIntroductionAreas under Power Function Graphs The Computation of pNatural LogarithmsStirling's FormulaProblemsLIMITS AND TAYLOR'S THEOREM IntroductionLimits of Infinite Sequences Series RepresentationsTaylor SeriesProblemsINFINITE SERIESIntroductionPositive SeriesGeneral SeriesGrouping and RearrangementProblemsA BIT OF LOGICSomemathematical PhilosophyPropositional Logic Predicates and QuantifiersProofsProblemsREAL NUMBERS Field Axioms Order Axioms Completeness Axioms Subsequences and Compact Intervals Products and FractionsProblemsFUNCTIONSIntroduction BasicsLimits and Continuity Derivatives ProblemsINTEGRALSIntroductionIntegrable Functions Properties of Integrals Numerical Computation of IntegralsProblemsMORE INTEGRALSIntroductionImproper IntegralsIntegrals with Parameters ProblemsREFERENCESINDEX.
|
| Subject
|
:
|
Mathematical analysis.
|
| LC Classification
|
:
|
QA300.R634 9999
|
| Added Entry
|
:
|
Robert Carlson
|