Differential Equations - Geometry, Symmetries and Integrability: The Abel Symposium 2008

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· Abel Symposia Книга 5 · Springer Science & Business Media
Π•-ΠΊΠ½ΠΈΠ³Π°
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Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ
ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈΡ‚Π΅ Π½Π΅ сС ΠΏΠΎΡ‚Π²Ρ€Π΄Π΅Π½ΠΈ Β Π”ΠΎΠ·Π½Π°Ρ˜Ρ‚Π΅ повСќС

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories.

This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject.

ΠžΡ†Π΅Π½Π΅Ρ‚Π΅ ја Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

ΠšΠ°ΠΆΠ΅Ρ‚Π΅ Π½ΠΈ ΡˆΡ‚ΠΎ мислитС.

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Π—Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΈ со Π΅-мастило, ΠΊΠ°ΠΊΠΎ ΡˆΡ‚ΠΎ сС Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈΡ‚Π΅ Kobo, ќС Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅Π·Π΅ΠΌΠ΅Ρ‚Π΅ Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠ° ΠΈ Π΄Π° ја ΠΏΡ€Π΅Ρ„Ρ€Π»ΠΈΡ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΎΡ‚. Π‘Π»Π΅Π΄Π΅Ρ‚Π΅ Π³ΠΈ Π΄Π΅Ρ‚Π°Π»Π½ΠΈΡ‚Π΅ упатства Π²ΠΎ Π¦Π΅Π½Ρ‚Π°Ρ€ΠΎΡ‚ Π·Π° помош Π·Π° ΠΏΡ€Π΅Ρ„Ρ€Π»Π°ΡšΠ΅ Π½Π° Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠΈΡ‚Π΅ Π½Π° ΠΏΠΎΠ΄Π΄Ρ€ΠΆΠ°Π½ΠΈ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ.