Real analysis: foundations and functions of one variable
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2015
|
| Ausgabe: | First English edition |
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (X, 483 Seiten, 94 illus) |
| ISBN: | 9781493927661 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4939-2766-1 |
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Datensatz im Suchindex
| _version_ | 1804175709112893440 |
|---|---|
| adam_text | REAL ANALYSIS
/ LACZKOVICH, MIKLOS
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
A SHORT HISTORICAL INTRODUCTION
BASIC CONCEPTS
REAL NUMBERS
INFINITE SEQUENCES I
INFINITE SEQUENCES II
INFINITE SEQUENCES III
RUDIMENTS OF INFINITE SERIES
COUNTABLE SETS
REAL VALUED FUNCTIONS OF ONE VARIABLE
CONTINUITY AND LIMITS OF FUNCTIONS
VARIOUS IMPORTANT CLASSES OF FUNCTIONS (ELEMENTARY FUNCTIONS)
DIFFERENTIATION
APPLICATIONS OF DIFFERENTIATION
THE DEFINITE INTEGRAL
INTEGRATION
APPLICATIONS OF INTEGRATION
FUNCTIONS OF BOUNDED VARIATION
THE STIELTJES INTEGRAL
THE IMPROPER INTEGRAL
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
REAL ANALYSIS
/ LACZKOVICH, MIKLOS
: 2015
ABSTRACT / INHALTSTEXT
BASED ON COURSES GIVEN AT EOETVOES LORAND UNIVERSITY (HUNGARY) OVER THE
PAST 30 YEARS, THIS INTRODUCTORY TEXTBOOK DEVELOPS THE CENTRAL CONCEPTS
OF THE ANALYSIS OF FUNCTIONS OF ONE VARIABLE - SYSTEMATICALLY, WITH MANY
EXAMPLES AND ILLUSTRATIONS, AND IN A MANNER THAT BUILDS UPON, AND
SHARPENS, THE STUDENTS MATHEMATICAL INTUITION. THE MODULAR ORGANIZATION
OF THE BOOK MAKES IT ADAPTABLE FOR EITHER SEMESTER OR YEAR-LONG
INTRODUCTORY COURSES, WHILE THE WEALTH OF MATERIAL ALLOWS FOR IT TO BE
USED AT VARIOUS LEVELS OF STUDENT SOPHISTICATION IN ALL PROGRAMS WHERE
ANALYSIS IS A PART OF THE CURRICULUM, INCLUDING TEACHERS EDUCATION. IN
THE SPIRIT OF LEARNING-BY-DOING, REAL ANALYSIS INCLUDES MORE THAN 500
ENGAGING EXERCISES FOR THE STUDENT KEEN ON MASTERING THE BASICS OF
ANALYSIS. THERE ARE FREQUENT HINTS AND OCCASIONAL COMPLETE SOLUTIONS
PROVIDED FOR THE MORE CHALLENGING EXERCISES MAKING IT AN IDEAL CHOICE
FOR INDEPENDENT STUDY. THE BOOK INCLUDES A SOLID GROUNDING IN THE BASICS
OF LOGIC AND PROOFS, SETS, AND REAL NUMBERS, IN PREPARATION FOR A
RIGOROUS STUDY OF THE MAIN TOPICS: LIMITS, CONTINUITY, RATIONAL
FUNCTIONS AND TRANSCENDENTAL FUNCTIONS, DIFFERENTIATION, AND
INTEGRATION. NUMEROUS HISTORICAL NOTES AND APPLICATIONS TO OTHER AREAS
OF MATHEMATICS, AND TO PHYSICS, ARE GIVEN, THEREBY DEMONSTRATING THE
PRACTICAL SCOPE AND POWER OF MATHEMATICAL ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Laczkovich, Miklós 1948- Sós, Vera T. 1930-2023 |
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| author_sort | Laczkovich, Miklós 1948- |
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4939-2766-1 |
| edition | First English edition |
| format | Electronic eBook |
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| spelling | Laczkovich, Miklós 1948- Verfasser (DE-588)173563309 aut Analizis Real analysis foundations and functions of one variable Miklós Laczkovich, Vera T. Sós First English edition New York, NY Springer New York 2015 1 Online Ressource (X, 483 Seiten, 94 illus) txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics 0172-6056 Mathematics Mathematical analysis Analysis (Mathematics) Analysis Mathematik Reelle Analysis (DE-588)4627581-2 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Reelle Analysis (DE-588)4627581-2 s DE-604 Sós, Vera T. 1930-2023 Verfasser (DE-588)133235904 aut Erscheint auch als Druckausgabe 978-1-4939-2765-4 https://doi.org/10.1007/978-1-4939-2766-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632895&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=028632895&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 | Laczkovich, Miklós 1948- Sós, Vera T. 1930-2023 Real analysis foundations and functions of one variable Mathematics Mathematical analysis Analysis (Mathematics) Analysis Mathematik Reelle Analysis (DE-588)4627581-2 gnd |
| subject_GND | (DE-588)4627581-2 (DE-588)4123623-3 |
| title | Real analysis foundations and functions of one variable |
| title_alt | Analizis |
| title_auth | Real analysis foundations and functions of one variable |
| title_exact_search | Real analysis foundations and functions of one variable |
| title_full | Real analysis foundations and functions of one variable Miklós Laczkovich, Vera T. Sós |
| title_fullStr | Real analysis foundations and functions of one variable Miklós Laczkovich, Vera T. Sós |
| title_full_unstemmed | Real analysis foundations and functions of one variable Miklós Laczkovich, Vera T. Sós |
| title_short | Real analysis |
| title_sort | real analysis foundations and functions of one variable |
| title_sub | foundations and functions of one variable |
| topic | Mathematics Mathematical analysis Analysis (Mathematics) Analysis Mathematik Reelle Analysis (DE-588)4627581-2 gnd |
| topic_facet | Mathematics Mathematical analysis Analysis (Mathematics) Analysis Mathematik Reelle Analysis Lehrbuch |
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