著名
发表于 2025-3-25 03:40:56
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Exposition
发表于 2025-3-25 10:51:00
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cortisol
发表于 2025-3-25 13:18:39
Differential Forms: Classical and Algebraic Approach, generalized to become an inherent and very important part of the differential calculus over commutative algebras. The applications include the definition and study of symplectic, Poisson, and contact manifolds, Monge-Ampère equations, the Lie derivative, infinitesimal symmetries, derivations of vector bundles, Killing fields, Jacobi brackets, etc.
febrile
发表于 2025-3-25 17:17:39
Cutoff and Other Special Smooth Functions on ,This is a purely technical chapter, that can be omitted on first reading. It brings together auxiliary statements (in particular, on the existence of cutoff functions) that are used in different places in the book.
Expostulate
发表于 2025-3-25 20:28:44
Equivalence of Coordinate and Algebraic Definitions,The aim of this chapter is to prove that the two definitions of smooth manifold (4.1 and 5.8) and of smooth maps (Sections 6.1 and 6.13) yield the same concepts, thus showing that the coordinate approach and the algebraic one are equivalent.
seduce
发表于 2025-3-26 02:14:46
Symbols and the Hamiltonian Formalism,This chapter begins with the conceptual definition of symbol of a differential operator in the classical and in the general algebraic situations and goes on to describe the general scheme of the Hamiltonian formalism in both of these situations.
Audiometry
发表于 2025-3-26 05:21:32
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薄荷醇
发表于 2025-3-26 08:46:33
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沟通
发表于 2025-3-26 14:21:25
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斥责
发表于 2025-3-26 16:51:33
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