Real analysis for the undergraduate: with an invitation to functional analysis / (Record no. 196622)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04589cam a22004817i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781461496373 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Item number | PON/R |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pons, Matthew A. |
| 245 10 - TITLE STATEMENT | |
| Title | Real analysis for the undergraduate: with an invitation to functional analysis / |
| Statement of responsibility, etc. | Matthew A. Pons |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | London: |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xviii, 409 p. |
| Other physical details | illustrations ; |
| Dimensions | 24 cm |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | The real numbers -- Preliminaries -- Complete ordered fields -- The real number system -- Set structures in R -- Normed linear spaces -- Sequences in R -- Sequences and convergence -- Properties of convergent sequences -- Completeness in R revisited -- Set structures in R via sequences -- Complete spaces -- Numerical series -- Series of real numbers -- Basic convergence tests -- Absolute and conditional convergence -- Sequence spaces -- Continuity -- Sequences and the limit of a function -- Continuity -- The intermediate value theorem -- Continuity on a set and uniform continuity -- Bounded linear operators -- The derivative -- The definition of the derivative -- Properties of the derivative -- Value theorems for the derivative -- Consequences of the value theorems -- Taylor polynomials -- Eigenvalues and the invariant subspace problem -- Sequences and series of functions -- Sequences of functions -- Series of functions -- Power series -- A continuous nowhere differentiable function -- Spaces of continuous functions -- The Riemann integral -- The Riemann integral -- Properties of the Riemann integral -- The Fundamental Theorem of Calculus -- The exponential function -- Spaces of continuous functions revisited -- Lebesgue measure on R -- Length and measure -- Outer measure on R -- Lebesgue measure on R -- A nonmeasurable set -- General measure theory -- Lebesgue integration -- Measurable functions -- The Lebesgue integral -- Limits and the Lebesgue integral -- The Lp spaces. |
| 650 #0 - SUBJECT | |
| Keyword | Mathematical analysis. |
| 650 #0 - SUBJECT | |
| Keyword | Mathematics. |
| 650 #0 - SUBJECT | |
| Keyword | Functional analysis. |
| 650 #7 - SUBJECT | |
| Keyword | Functional analysis. |
| 650 #7 - SUBJECT | |
| Keyword | Mathematical analysis. |
| 650 #7 - SUBJECT | |
| Keyword | Mathematics. |
| 856 42 - ONLINE RESOURCES | |
| url | https://www.loc.gov/catdir/enhancements/fy1702/2013956133-b.html |
| 856 42 - ONLINE RESOURCES | |
| url | https://www.loc.gov/catdir/enhancements/fy1702/2013956133-d.html |
| 856 41 - ONLINE RESOURCES | |
| url | https://www.loc.gov/catdir/enhancements/fy1702/2013956133-t.html |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Date acquired | Cost, normal purchase price | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | 27/03/2019 | 3205.36 | 515 PON/R | 47443 | 27/03/2019 | General Books |