Real analysis for the undergraduate with an invitation to functional analysis
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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New York, NY [u.a.]
Springer
2014
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| Online-Zugang: | DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
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Datensatz im Suchindex
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| adam_text | REAL ANALYSIS FOR THE UNDERGRADUATE
/ PONS, MATTHEW A.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE REAL NUMBERS
SEQUENCES IN R
NUMERICAL SERIES
CONTINUITY
THE DERIVATIVE
SEQUENCE AND SERIES OF FUNCTIONS
THE RIEMANN INTEGRAL
LEBESGUE MEASURE ON R
LEBESGUE INTEGRATION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
REAL ANALYSIS FOR THE UNDERGRADUATE
/ PONS, MATTHEW A.
: 2014
ABSTRACT / INHALTSTEXT
THIS UNDERGRADUATE TEXTBOOK INTRODUCES STUDENTS TO THE BASICS OF REAL
ANALYSIS, PROVIDES AN INTRODUCTION TO MORE ADVANCED TOPICS INCLUDING
MEASURE THEORY AND LEBESGUE INTEGRATION, AND OFFERS AN INVITATION TO
FUNCTIONAL ANALYSIS. WHILE THESE ADVANCED TOPICS ARE NOT TYPICALLY
ENCOUNTERED UNTIL GRADUATE STUDY, THE TEXT IS DESIGNED FOR THE BEGINNER.
THE AUTHOR’S ENGAGING STYLE MAKES ADVANCED TOPICS APPROACHABLE WITHOUT
SACRIFICING RIGOR. THE TEXT ALSO CONSISTENTLY ENCOURAGES THE READER TO
PICK UP A PENCIL AND TAKE AN ACTIVE PART IN THE LEARNING PROCESS. KEY
FEATURES INCLUDE: - EXAMPLES TO REINFORCE THEORY; - THOROUGH
EXPLANATIONS PRECEDING DEFINITIONS, THEOREMS AND FORMAL PROOFS; -
ILLUSTRATIONS TO SUPPORT INTUITION; - OVER 450 EXERCISES DESIGNED TO
DEVELOP CONNECTIONS BETWEEN THE CONCRETE AND ABSTRACT. THIS TEXT TAKES
STUDENTS ON A JOURNEY THROUGH THE BASICS OF REAL ANALYSIS AND PROVIDES
THOSE WHO WISH TO DELVE DEEPER THE OPPORTUNITY TO EXPERIENCE
MATHEMATICAL IDEAS THAT ARE BEYOND THE STANDARD UNDERGRADUATE CURRICULUM
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Pons, Matthew A. |
| author_facet | Pons, Matthew A. |
| author_role | aut |
| author_sort | Pons, Matthew A. |
| author_variant | m a p ma map |
| building | Verbundindex |
| bvnumber | BV041741524 |
| classification_rvk | SK 400 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)869979368 (DE-599)BVBBV041741524 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-9638-0 |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9781461496373 9781461496380 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027188116 |
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| physical | 1 Online-Ressource (XVIII, 409 S.) graph. Darst. |
| psigel | ZDB-2-SMA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Pons, Matthew A. Real analysis for the undergraduate with an invitation to functional analysis Reelle Analysis (DE-588)4627581-2 gnd |
| subject_GND | (DE-588)4627581-2 (DE-588)4151278-9 |
| title | Real analysis for the undergraduate with an invitation to functional analysis |
| title_auth | Real analysis for the undergraduate with an invitation to functional analysis |
| title_exact_search | Real analysis for the undergraduate with an invitation to functional analysis |
| title_full | Real analysis for the undergraduate with an invitation to functional analysis Matthew A. Pons |
| title_fullStr | Real analysis for the undergraduate with an invitation to functional analysis Matthew A. Pons |
| title_full_unstemmed | Real analysis for the undergraduate with an invitation to functional analysis Matthew A. Pons |
| title_short | Real analysis for the undergraduate |
| title_sort | real analysis for the undergraduate with an invitation to functional analysis |
| title_sub | with an invitation to functional analysis |
| topic | Reelle Analysis (DE-588)4627581-2 gnd |
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