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Discrete Energy on Rectifiable Sets

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.11.2019

Abbildungen

XVIII, 62 illus., 53 illus. in color., farbige Illustrationen, schwarz-weiss Illustrationen

Verlag

Springer Us

Seitenzahl

666

Maße (L/B/H)

24,1/16/4,2 cm

Gewicht

1160 g

Auflage

1st ed. 2019

Sprache

Englisch

ISBN

978-0-387-84807-5

Beschreibung

Rezension

“The authors have done an excellent job at completeness in showcasing the range of techniques one can bring to such a seemingly simple subject. This is a book for every practicing mathematician who is interested in the subject. I am happy it has a place on my bookshelf.” (Jeff Ibbotson, MAA Reviews, July 4, 2021)

“The book is mostly self-contained and has been written with graduate students in mind. … The reviewer certainly thinks that this book has the potential to become a standard text for students new to the rich and vibrant area of discrete energy problems and point configurations and a valuable resource for researchers.” (Johann S. Brauchart, Mathematical Reviews, April, 2021)

“The authors have done an excellent work by taking the reader, who is primarily supposed to be a graduate student, from the basics of Real Analysis to the frontiers of research on several mathematical topics, what turns the text of interest for both students and research professionals. The vast content of the book will certainly provide the reader with an extremely valuable source on this fascinating subject.” (Antonio Roberto da Silva, zbMATH 1437.41002, 2020)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.11.2019

Abbildungen

XVIII, 62 illus., 53 illus. in color., farbige Illustrationen, schwarz-weiss Illustrationen

Verlag

Springer Us

Seitenzahl

666

Maße (L/B/H)

24,1/16/4,2 cm

Gewicht

1160 g

Auflage

1st ed. 2019

Sprache

Englisch

ISBN

978-0-387-84807-5

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Discrete Energy on Rectifiable Sets
  • Produktbild: Discrete Energy on Rectifiable Sets
  • 0. An Overview: Discretizing Manifolds via Particle Interactions.-1. Preliminaries.- 2. Basics of Minimal Energy.- 3.-Introduction to Packing and Covering.- 4. Continuous and Discrete Energy.- 5. LP Bounds on the Sphere.- 6. Asymptotics for Energy Minimizing Congurations on Sd.- 7. Some Popular Algorithms for Distributing Points on S2.- 8. Minimal Energy in the Hypersingular Case.-  9. Minimal Energy Asymptotics in the "Harmonic Series" Case.-  10. Periodic Riesz Energy.- 11. Congurations with non-Uniform Distribution.-  12. Low Complexity Energy Methods for Discretization.- 13. Best-Packing on Compact Sets.- 14. Optimal Discrete Measures for Potentials: Polarization (Chebyshev) Constants.- Appendix.- References.- List of Symbols.- Index.