A Fixed-Point Farrago
Springer International Publishing (Verlag)
978-3-319-80251-0 (ISBN)
Joel H. Shapiro is an adjunct professor of Mathematics and Statistics at Portland State University. He received his PhD from the University of Michigan.
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.
Erscheinungsdatum | 05.03.2022 |
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Reihe/Serie | Universitext |
Zusatzinfo | XIV, 221 p. 8 illus. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 3635 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Analysis • Banach spaces • Fixed-Point Theory • Hilbert spaces • Set-Value Analysis |
ISBN-10 | 3-319-80251-8 / 3319802518 |
ISBN-13 | 978-3-319-80251-0 / 9783319802510 |
Zustand | Neuware |
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