Mathematics Going Forward

Collected Mathematical Brushstrokes
1. Auflage 2023
ISBN: 978-3-031-12243-9
Verlag: Springer

Buch, Englisch, Band 2313, 652 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1003 g

Reihe: Lecture Notes in Mathematics

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Zielgruppe

Research

Autoren/Hrsg.

Morel, Jean-Michel

Teissier, Bernard

Fachgebiete

• Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

1. Algebraic Geometry.- 2. Dynamical Systems.- 3. Finance.- 4. Geometry.- 5. Groups.- 6. History of Mathematics.- 7. Information Theory.- 8. Logic.- 9. Mathematical Models.- 10. Mathematical Physics and PDEs.- 11. Number Theory.- 12. Probability Theory.

Über Autor(innen)

Jean-Michel Morel is professor of mathematics at Ecole Normale Supérieure Paris-Saclay.  He works on theories and algorithms for the restoration and automatic analysis of digital images and video.

Bernard Teissier is Emeritus Director of Research of CNRS at the Institut Mathématique de Jussieu-Paris Rive Gauche. His research interests center on the algebra and geometry of singularities in algebraic and analytic geometry.