Mathematical analysis: 1
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
[2015]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Universitext
Universitext |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online Ressource (XX, 616 Seiten, 66 illus) |
| ISBN: | 9783662487921 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-662-48792-1 |
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Datensatz im Suchindex
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|---|---|
| adam_text | MATHEMATICAL ANALYSIS I
/ ZORICH, VLADIMIR A.
: 2015
ABSTRACT / INHALTSTEXT
VLADIMIR A. ZORICH IS PROFESSOR OF MATHEMATICS AT MOSCOW STATE
UNIVERSITY. HIS AREAS OF SPECIALIZATION ARE ANALYSIS, CONFORMAL
GEOMETRY, QUASICONFORMAL MAPPINGS, AND MATHEMATICAL ASPECTS OF
THERMODYNAMICS. HE SOLVED THE PROBLEM OF GLOBAL HOMEOMORPHISM FOR SPACE
QUASICONFORMAL MAPPINGS. HE HOLDS A PATENT IN THE TECHNOLOGY OF
MECHANICAL ENGINEERING, AND HE IS ALSO KNOWN BY HIS BOOK MATHEMATICAL
ANALYSIS OF PROBLEMS IN THE NATURAL SCIENCES . THIS SECOND ENGLISH
EDITION OF A VERY POPULAR TWO-VOLUME WORK PRESENTS A THOROUGH FIRST
COURSE IN ANALYSIS, LEADING FROM REAL NUMBERS TO SUCH ADVANCED TOPICS AS
DIFFERENTIAL FORMS ON MANIFOLDS; ASYMPTOTIC METHODS; FOURIER, LAPLACE,
AND LEGENDRE TRANSFORMS; ELLIPTIC FUNCTIONS; AND DISTRIBUTIONS.
ESPECIALLY NOTABLE IN THIS COURSE ARE THE CLEARLY EXPRESSED ORIENTATION
TOWARD THE NATURAL SCIENCES AND THE INFORMAL EXPLORATION OF THE ESSENCE
AND THE ROOTS OF THE BASIC CONCEPTS AND THEOREMS OF CALCULUS.CLARITY OF
EXPOSITION IS MATCHED BY A WEALTH OF INSTRUCTIVE EXERCISES, PROBLEMS,
AND FRESH APPLICATIONS TO AREAS SELDOM TOUCHED ON IN TEXTBOOKS ON REAL
ANALYSIS. THE MAIN DIFFERENCE BETWEEN THE SECOND AND FIRST ENGLISH
EDITIONS IS THE ADDITION OF A SERIES OF APPENDICES TO EACH VOLUME. THERE
ARE SIX OF THEM IN THE FIRST VOLUME AND FIVE IN THE SECOND. THE SUBJECTS
OF THESE APPENDICES ARE DIVERSE. THEY ARE MEANT TO BE USEFUL TO BOTH
STUDENTS (IN MATHEMATICS AND PHYSICS) AND TEACHERS, WHO MAY BE MOTIVATED
BY DIFFERENT GOALS. SOME OF THE APPENDICES ARE SURVEYS, BOTH PROSPECTIVE
AND RETROSPECTIVE. THE FINAL SURVEY ESTABLISHES IMPORTANT CONCEPTUAL
CONNECTIONS BETWEEN ANALYSIS AND OTHER PARTS OF MATHEMATICS. THE FIRST
VOLUME CONSTITUTES A COMPLETE COURSE IN ONE-VARIABLE CALCULUS ALONG WITH
THE MULTIVARIABLE DIFFERENTIAL CALCULUS ELUCIDATED IN AN UP-TO-DATE,
CLEAR MANNER, WITH A PLEASANT GEOMETRIC AND NATURAL SCIENCES
FLAVOR.“...COMPLETE LOGICAL RIGOR OF DISCUSSION...IS COMBINED WITH
SIMPLICITY AND COMPLETENESSAS WELL AS WITH THE DEVELOPMENT OF THE
HABIT TO WORK WITH REAL PROBLEMS FROMNATURAL SCIENCES. ”FROM A
REVIEW BY A.N. KOLMOGOROV OF THE FIRST RUSSIAN EDITION OF THIS COURSE
“...WE SEE HERE NOT ONLY A MATHEMATICAL PATTERN, BUT ALSO THE WAY IT
WORKS IN THE SOLUTION OF NONTRIVIAL QUESTIONS OUTSIDE MATHEMATICS.
...THE COURSE IS UNUSUALLY RICH IN IDEAS AND SHOWS CLEARLY THE POWER OF
THE IDEAS AND METHODS OF MODERN MATHEMATICS IN THE STUDY OF PARTICULAR
PROBLEMS....IN MY OPINION, THIS COURSE IS THE BEST OF THE EXISTING
MODERN COURSES OF ANALYSIS.”FROM A REVIEW BY V.I.ARNOLD
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MATHEMATICAL ANALYSIS I
/ ZORICH, VLADIMIR A.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 SOME GENERAL MATHEMATICAL CONCEPTS AND NOTATION
2 THE REAL NUMBERS
3 LIMITS
4 CONTINUOUS FUNCTIONS
5 DIFFERENTIAL CALCULUS
6 INTEGRATION
7 FUNCTIONS OF SEVERAL VARIABLES
8 DIFFERENTIAL CALCULUS IN SEVERAL VARIABLES
SOME PROBLEMS FROM THE MIDTERM EXAMINATIONS
EXAMINATION TOPICS
APPENDICES
REFERENCES
SUBJECT INDEX
NAME INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Zorič, Vladimir A. 1937- |
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| author_sort | Zorič, Vladimir A. 1937- |
| author_variant | v a z va vaz |
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| ctrlnum | (OCoLC)958878952 (DE-599)BVBBV043484181 |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-48792-1 |
| edition | Second edition |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:26:57Z |
| institution | BVB |
| isbn | 9783662487921 |
| issn | 0172-5939 |
| language | English |
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| spelling | Zorič, Vladimir A. 1937- Verfasser (DE-588)128567155 aut Matematičeskij analiz Mathematical analysis 1 Vladimir A. Zorich Second edition Berlin Springer [2015] 1 Online Ressource (XX, 616 Seiten, 66 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Universitext Reelle Analysis (DE-588)4627581-2 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 s DE-604 (DE-604)BV043484169 1 Erscheint auch als Druckausgabe 978-3-662-48790-7 https://doi.org/10.1007/978-3-662-48792-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028900871&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028900871&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zorič, Vladimir A. 1937- Mathematical analysis Reelle Analysis (DE-588)4627581-2 gnd |
| subject_GND | (DE-588)4627581-2 |
| title | Mathematical analysis |
| title_alt | Matematičeskij analiz |
| title_auth | Mathematical analysis |
| title_exact_search | Mathematical analysis |
| title_full | Mathematical analysis 1 Vladimir A. Zorich |
| title_fullStr | Mathematical analysis 1 Vladimir A. Zorich |
| title_full_unstemmed | Mathematical analysis 1 Vladimir A. Zorich |
| title_short | Mathematical analysis |
| title_sort | mathematical analysis |
| topic | Reelle Analysis (DE-588)4627581-2 gnd |
| topic_facet | Reelle Analysis |
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