Mathematics Going Forward

Collected Mathematical Brushstrokes

Jean-Michel Morel, Bernard Teissier (Herausgeber)

Buch | Softcover

X, 652 Seiten

2023
Springer International Publishing (Verlag)
978-3-031-12243-9 (ISBN)

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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.

Jean-Michel Morel is professor of mathematics at Ecole Normale Superieure 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 Mathematique de Jussieu-Paris Rive Gauche. His research interests center on the algebra and geometry of singularities in algebraic and analytic geometry.

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.

Erscheinungsdatum	16.05.2023
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	X, 652 p. 71 illus., 36 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1003 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Artificial Intelligence • category theory • Differential Geometry • Edition of Mathematics • Future of probability • History of Mathematics • Logic • Mathematical Conjectures • Mathematical Physics • Number Theory • Optimization • Partial differential equations • Quantitative Finance • Statistics • Theory of Groups
ISBN-10	3-031-12243-7 / 3031122437
ISBN-13	978-3-031-12243-9 / 9783031122439
Zustand	Neuware