1.

Record Nr.

UNISA996534462803316

Titolo

Mathematics Going Forward [[electronic resource] ] : Collected Mathematical Brushstrokes / / edited by Jean-Michel Morel, Bernard Teissier

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023

ISBN

9783031122446

9783031122439

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (629 pages)

Collana

Lecture Notes in Mathematics, , 1617-9692 ; ; 2313

Disciplina

510

Soggetti

Mathematics

Algebraic geometry

Probabilities

History

Algebraic topology

Differential equations

General Mathematics and Education

Algebraic Geometry

Probability Theory

History of Mathematical Sciences

Algebraic Topology

Differential Equations

MatemĂ tica

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.