The implicit function theorem: history, theory, and applications
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2013
|
| Edition: | Reprint of the 2003 ed. |
| Series: | Modern Birkhäuser classics
|
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781461459804 9781461459811 |
| DOI: | 10.1007/978-1-4614-5981-1 |
Staff View
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Record in the Search Index
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| adam_text | THE IMPLICIT FUNCTION THEOREM
/ KRANTZ, STEVEN G.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
INTRODUCTION TO THE IMPLICIT FUNCTION THEOREM
HISTORY
BASIC IDEAS
APPLICATIONS
VARIATIONS AND GENERALIZATIONS
ADVANCED IMPLICIT FUNCTION THEOREMS
GLOSSARY
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE IMPLICIT FUNCTION THEOREM
/ KRANTZ, STEVEN G.
: 2013
ABSTRACT / INHALTSTEXT
THE IMPLICIT FUNCTION THEOREM IS PART OFTHE BEDROCK OF MATHEMATICAL
ANALYSIS AND GEOMETRY. FINDING ITS GENESIS IN EIGHTEENTH CENTURY STUDIES
OF REAL ANALYTIC FUNCTIONS AND MECHANICS, THE IMPLICIT AND INVERSE
FUNCTION THEOREMS HAVE NOW BLOSSOMED INTO POWERFUL TOOLS IN THE THEORIES
OF PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL GEOMETRY, AND GEOMETRIC
ANALYSIS. THERE ARE MANY DIFFERENT FORMS OF THE IMPLICIT FUNCTION
THEOREM, INCLUDING (I) THE CLASSICAL FORMULATION FORCKFUNCTIONS,
(II) FORMULATIONS IN OTHER FUNCTION SPACES, (III) FORMULATIONS FOR
NON-SMOOTH FUNCTIONS, AND (IV) FORMULATIONS FOR FUNCTIONS WITH
DEGENERATE JACOBIAN. PARTICULARLY POWERFUL IMPLICIT FUNCTION THEOREMS,
SUCH AS THE NASH–MOSER THEOREM, HAVE BEEN DEVELOPED FOR SPECIFIC
APPLICATIONS (E.G., THE IMBEDDING OF RIEMANNIAN MANIFOLDS). ALL OF THESE
TOPICS, AND MANY MORE, ARE TREATED IN THE PRESENT UNCORRECTED REPRINT OF
THIS CLASSICMONOGRAPH. ORIGINALLY PUBLISHED IN 2002,THE IMPLICIT
FUNCTION THEOREMIS AN ACCESSIBLE AND THOROUGH TREATMENT OF IMPLICIT
AND INVERSE FUNCTION THEOREMS AND THEIR APPLICATIONS. IT WILL BE OF
INTEREST TO MATHEMATICIANS, GRADUATE/ADVANCED UNDERGRADUATE STUDENTS,
AND TO THOSE WHO APPLY MATHEMATICS. THE BOOK UNIFIES DISPARATE IDEAS
THAT HAVE PLAYED AN IMPORTANT ROLE IN MODERN MATHEMATICS. IT SERVES TO
DOCUMENT AND PLACEIN CONTEXT A SUBSTANTIAL BODY OF MATHEMATICAL IDEAS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Krantz, Steven G. 1951- Parks, Harold R. 1949- |
| author_GND | (DE-588)130535907 (DE-588)138161887 |
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| author_sort | Krantz, Steven G. 1951- |
| author_variant | s g k sg sgk h r p hr hrp |
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| discipline | Mathematik |
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| edition | Reprint of the 2003 ed. |
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| spelling | Krantz, Steven G. 1951- Verfasser (DE-588)130535907 aut The implicit function theorem history, theory, and applications Steven G. Krantz ; Harold R. Parks Reprint of the 2003 ed. New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Modern Birkhäuser classics Implizite Funktion Implizite Funktion (DE-588)4570203-2 gnd rswk-swf Implizite Funktion (DE-588)4570203-2 s DE-604 Parks, Harold R. 1949- Verfasser (DE-588)138161887 aut https://doi.org/10.1007/978-1-4614-5981-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025743169&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=025743169&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Krantz, Steven G. 1951- Parks, Harold R. 1949- The implicit function theorem history, theory, and applications Implizite Funktion Implizite Funktion (DE-588)4570203-2 gnd |
| subject_GND | (DE-588)4570203-2 |
| title | The implicit function theorem history, theory, and applications |
| title_auth | The implicit function theorem history, theory, and applications |
| title_exact_search | The implicit function theorem history, theory, and applications |
| title_full | The implicit function theorem history, theory, and applications Steven G. Krantz ; Harold R. Parks |
| title_fullStr | The implicit function theorem history, theory, and applications Steven G. Krantz ; Harold R. Parks |
| title_full_unstemmed | The implicit function theorem history, theory, and applications Steven G. Krantz ; Harold R. Parks |
| title_short | The implicit function theorem |
| title_sort | the implicit function theorem history theory and applications |
| title_sub | history, theory, and applications |
| topic | Implizite Funktion Implizite Funktion (DE-588)4570203-2 gnd |
| topic_facet | Implizite Funktion |
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