Calculus in Vector Spaces without Norm

Frölicher, A.

Calculus in Vector Spaces without Norm [electronic resource] / by A. Frölicher, W. Bucher. - XIV, 150 p. online resource. - Lecture Notes in Mathematics, 30 0075-8434 ; . - Lecture Notes in Mathematics, 30 .

Elementary properties of filters -- Pseudo-topological vector spaces -- Differentiability and derivatives -- Examples and special cases -- Fundamental theorem of calculus -- Pseudo-topologies on some function spaces -- The class of admissible vector spaces -- Partial derivatives and differentiability -- Higher derivatives -- Ck-mappings -- The composition of Ck-mappings -- Differentiable deformation of differentiable mappings.

9783540348627

10.1007/BFb0068432 doi


Mathematics.
Mathematics, general.

QA1-939

510
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