A fixed-point farrago:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Cham]
Springer
[2016]
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XIV, 221 Seiten, 8 illus) |
| ISBN: | 9783319279787 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-319-27978-7 |
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Datensatz im Suchindex
| _version_ | 1804176260710006785 |
|---|---|
| adam_text | A FIXED-POINT FARRAGO
/ SHAPIRO, JOEL H.
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. FROM NEWTON TO GOOGLE
2. BROUWER IN DIMENSION TWO
3. CONTRACTION MAPPINGS
4. BROUWER IN HIGHER DIMENSIONS
5. NASH EQUILIBRIUM
6. NASH S ONE-PAGE PROOF
7. THE SCHAUDER FIXED-POINT THEOREM
8. THE INVARIANT SUBSPACE PROBLEM
9. THE MARKOV–KAKUTANI THEOREM
10. THE MEANING OF MEANS
11. PARADOXICAL DECOMPOSITIONS
12. FIXED POINTS FOR NON-COMMUTING MAP FAMILIES
13. BEYOND MARKOV–KAKUTANI
A. ADVANCED CALCULUS
B. COMPACT METRIC SPACES
C. CONVEX SETS AND NORMED SPACES
D. EUCLIDEAN ISOMETRIES
E. A LITTLE GROUP THEORY, A LITTLE SET THEORY
REFERENCES
INDEX
LIST OF SYMBOLS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
A FIXED-POINT FARRAGO
/ SHAPIRO, JOEL H.
: 2016
ABSTRACT / INHALTSTEXT
THIS TEXT PROVIDES AN INTRODUCTION TO SOME OF THE BEST-KNOWN FIXED-POINT
THEOREMS, WITH AN EMPHASIS ON THEIR INTERACTIONS WITH TOPICS IN
ANALYSIS. THE LEVEL OF EXPOSITION INCREASES GRADUALLY THROUGHOUT THE
BOOK, BUILDING FROM A BASIC REQUIREMENT OF UNDERGRADUATE PROFICIENCY TO
GRADUATE-LEVEL SOPHISTICATION. APPENDICES PROVIDE AN INTRODUCTION TO (OR
REFRESHER ON) SOME OF THE PREREQUISITE MATERIAL AND EXERCISES ARE
INTEGRATED INTO THE TEXT, CONTRIBUTING TO THE VOLUME’S ABILITY TO BE
USED AS A SELF-CONTAINED TEXT. READERS WILL FIND THE PRESENTATION
ESPECIALLY USEFUL FOR INDEPENDENT STUDY OR AS A SUPPLEMENT TO A GRADUATE
COURSE IN FIXED-POINT THEORY. THE MATERIAL IS SPLIT INTO FOUR PARTS: THE
FIRST INTRODUCES THE BANACH CONTRACTION-MAPPING PRINCIPLE AND THE
BROUWER FIXED-POINT THEOREM, ALONG WITH A SELECTION OF INTERESTING
APPLICATIONS; THE SECOND FOCUSES ON BROUWER’S THEOREM AND ITS
APPLICATION TO JOHN NASH’S WORK; THE THIRD APPLIES BROUWER’S THEOREM
TO SPACES OF INFINITE DIMENSION; AND THE FOURTH RESTS ON THE WORK OF
MARKOV, KAKUTANI, AND RYLL–NARDZEWSKI SURROUNDING FIXED POINTS FOR
FAMILIES OF AFFINE MAPS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Shapiro, Joel H. |
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| 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 | 10.1007/978-3-319-27978-7 |
| format | Electronic eBook |
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| spelling | Shapiro, Joel H. Verfasser (DE-588)1106286227 aut A fixed-point farrago Joel H. Shapiro [Cham] Springer [2016] © 2016 1 Online-Ressource (XIV, 221 Seiten, 8 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Mathematics Mathematical analysis Analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Fixpunkt (DE-588)4154496-1 gnd rswk-swf Fixpunkt (DE-588)4154496-1 s DE-604 Erscheint auch als Druckausgabe 978-3-319-27976-3 https://doi.org/10.1007/978-3-319-27978-7 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=028994183&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=028994183&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Shapiro, Joel H. A fixed-point farrago Mathematics Mathematical analysis Analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Fixpunkt (DE-588)4154496-1 gnd |
| subject_GND | (DE-588)4154496-1 |
| title | A fixed-point farrago |
| title_auth | A fixed-point farrago |
| title_exact_search | A fixed-point farrago |
| title_full | A fixed-point farrago Joel H. Shapiro |
| title_fullStr | A fixed-point farrago Joel H. Shapiro |
| title_full_unstemmed | A fixed-point farrago Joel H. Shapiro |
| title_short | A fixed-point farrago |
| title_sort | a fixed point farrago |
| topic | Mathematics Mathematical analysis Analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Fixpunkt (DE-588)4154496-1 gnd |
| topic_facet | Mathematics Mathematical analysis Analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Fixpunkt |
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