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Mathematics Going Forward: Collected Mathematical Brushstrokes de Jean-Michel Morel

Mathematics Going Forward: Collected Mathematical Brushstrokes: Lecture Notes in Mathematics, cartea 2313

Editat de Jean-Michel Morel, Bernard Teissier
en Limba Engleză Paperback – 14 mai 2023
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.
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Specificații

ISBN-13: 9783031122439
ISBN-10: 3031122437
Pagini: 652
Ilustrații: X, 652 p. 71 illus., 36 illus. in color.
Dimensiuni: 155 x 235 x 40 mm
Greutate: 0.92 kg
Ediția:1st ed. 2023
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

Presents open problems, conjectures and musings on the future of mathematics Collects contributions by leading mathematicians Provides motivation for future research in mathematics