Mathematics Going Forward
Collected Mathematical Brushstrokes
Published on 13. May 2023
X, 652 pages
978-3-031-12244-6 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
X, 652 p. 71 illus., 36 illus. in color.
File size
16,23 MB
ISBN-13
978-3-031-12244-6 (9783031122446)
DOI
10.1007/978-3-031-12244-6
Schweitzer Classification
Other editions
Additional editions
Book
05/2023
Springer
€64.19
Shipment within 15-20 days
Persons
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.
Content
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.
