Advanced calculus of a single variable:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2016]
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XII, 382 Seiten, 88 illus., 77 illus. in color) |
| ISBN: | 9783319278070 |
| DOI: | 10.1007/978-3-319-27807-0 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804176141587578880 |
|---|---|
| adam_text | ADVANCED CALCULUS OF A SINGLE VARIABLE
/ GEVECI, TUNC
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
REAL NUMBERS, SEQUENCES AND LIMITS
LIMITS AND CONTINUITY OF FUNCTIONS
THE DERIVATIVE
THE RIEMANN INTEGRAL
INFINITE SERIES
SEQUENCES AND SERIES OF FUNCTIONS. INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ADVANCED CALCULUS OF A SINGLE VARIABLE
/ GEVECI, TUNC
: 2016
ABSTRACT / INHALTSTEXT
THIS ADVANCED UNDERGRADUATE TEXTBOOK IS BASED ON A ONE-SEMESTER COURSE
ON SINGLE VARIABLE CALCULUS THAT THE AUTHOR HAS BEEN TEACHING AT SAN
DIEGO STATE UNIVERSITY FOR MANY YEARS. THE AIM OF THIS CLASSROOM-TESTED
BOOK IS TO DELIVER A RIGOROUS DISCUSSION OF THE CONCEPTS AND THEOREMS
THAT ARE DEALT WITH INFORMALLY IN THE FIRST TWO SEMESTERS OF A BEGINNING
CALCULUS COURSE. AS SUCH, STUDENTS ARE EXPECTED TO GAIN A DEEPER
UNDERSTANDING OF THE FUNDAMENTAL CONCEPTS OF CALCULUS, SUCH AS LIMITS
(WITH AN EMPHASIS ON Ε-Δ DEFINITIONS), CONTINUITY (INCLUDING AN
APPRECIATION OF THE DIFFERENCE BETWEEN MERE POINTWISE AND UNIFORM
CONTINUITY), THE DERIVATIVE (WITH RIGOROUS PROOFS OF VARIOUS VERSIONS OF
L’HOPITAL’S RULE) AND THE RIEMANN INTEGRAL (DISCUSSING IMPROPER
INTEGRALS IN-DEPTH, INCLUDING THE COMPARISON AND DIRICHLET TESTS).
SUCCESS IN THIS COURSE IS EXPECTED TO PREPARE STUDENTS FOR MORE ADVANCED
COURSES IN REAL AND COMPLEX ANALYSIS AND THIS BOOK WILL HELP TO
ACCOMPLISH THIS. THE FIRST SEMESTER OF ADVANCED CALCULUS CAN BE FOLLOWED
BY A RIGOROUS COURSE IN MULTIVARIABLE CALCULUS AND AN INTRODUCTORY REAL
ANALYSIS COURSE THAT TREATS THE LEBESGUE INTEGRAL AND METRIC SPACES,
WITH SPECIAL EMPHASIS ON BANACH AND HILBERT SPACES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Geveci, Tunc |
| author_GND | (DE-588)1097633071 |
| author_facet | Geveci, Tunc |
| author_role | aut |
| author_sort | Geveci, Tunc |
| author_variant | t g tg |
| building | Verbundindex |
| bvnumber | BV043504139 |
| classification_rvk | SK 400 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (ZDB-2-SMA)9783319278070 (OCoLC)946158796 (DE-599)BVBBV043504139 |
| dewey-full | 515.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.72 |
| dewey-search | 515.72 |
| dewey-sort | 3515.72 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-27807-0 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:27:28Z |
| institution | BVB |
| isbn | 9783319278070 |
| language | English |
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| spelling | Geveci, Tunc Verfasser (DE-588)1097633071 aut Advanced calculus of a single variable Tunc Geveci Cham Springer [2016] © 2016 1 Online-Ressource (XII, 382 Seiten, 88 illus., 77 illus. in color) txt rdacontent c rdamedia cr rdacarrier Mathematics Functional analysis Integral transforms Operational calculus Integral Transforms, Operational Calculus Functional Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-27806-3 https://doi.org/10.1007/978-3-319-27807-0 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920484&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920484&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Geveci, Tunc Advanced calculus of a single variable Mathematics Functional analysis Integral transforms Operational calculus Integral Transforms, Operational Calculus Functional Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd |
| subject_GND | (DE-588)4072798-1 |
| title | Advanced calculus of a single variable |
| title_auth | Advanced calculus of a single variable |
| title_exact_search | Advanced calculus of a single variable |
| title_full | Advanced calculus of a single variable Tunc Geveci |
| title_fullStr | Advanced calculus of a single variable Tunc Geveci |
| title_full_unstemmed | Advanced calculus of a single variable Tunc Geveci |
| title_short | Advanced calculus of a single variable |
| title_sort | advanced calculus of a single variable |
| topic | Mathematics Functional analysis Integral transforms Operational calculus Integral Transforms, Operational Calculus Functional Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd |
| topic_facet | Mathematics Functional analysis Integral transforms Operational calculus Integral Transforms, Operational Calculus Functional Analysis Mathematik Infinitesimalrechnung |
| url | https://doi.org/10.1007/978-3-319-27807-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920484&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920484&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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