Mathematics Going Forward

Collected Mathematical Brushstrokes

Jean-Michel Morel, Bernard Teissier

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English

Springer International Publishing AG
14 May 2023

Calculus & mathematical analysis; Algebraic geometry; Algebraic topology; Probability & statistics; History of mathematics

Series: 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.

Edited by: Jean-Michel Morel, Bernard Teissier
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2023
Volume: 2313
Dimensions: Height: 235mm, Width: 155mm,
Weight: 1.003kg
ISBN: 9783031122439
ISBN 10: 3031122437
Series: Lecture Notes in Mathematics
Pages: 652
Publication Date: 14 May 2023
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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.