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Fixed-point farrago / Joel H. Shapiro.

By: Material type: TextTextSeries: UniversitextPublication details: Switzerland : Springer, 2016.Description: xiv, 221 pages : illustrations ; 24 cmISBN:
  • 9783319279763
Subject(s): DDC classification:
  • 515.7248 23 Sh529
Contents:
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.- Appendices.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.7248 Sh529 (Browse shelf(Opens below)) Available 137685
Total holds: 0

Includes bibliographical references and index.

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.-
Appendices.

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.

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