Front Matter -- Spaces of Continuous Functions -- Differentiable Functions -- Differentiating Composite Functions and Others -- Integrating Uniformly Continuous Functions -- Properties of the Measure of an Open Set -- Additional Properties of the Integral -- Weighting and Regula…
Front Matter -- Spaces of Continuous Functions -- Differentiable Functions -- Differentiating Composite Functions and Others -- Integrating Uniformly Continuous Functions -- Properties of the Measure of an Open Set -- Additional Properties of the Integral -- Weighting and Regula…
This book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encompasses the Banach and Fr…
Banach, Fréchet, Hilbert and Neumann spaces
Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Introduction -- Familiarization with Semi-normed Spaces -- Notations -- Chapter 1. Prerequisites -- 1.1. Sets, mappings, orders -- 1.2. Countability -- 1.3. Construction of R -- 1.4. Properties of R -- PART …
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