Jain came to life in a huge controversy. Few months after his birth, he was put under the guardianship of his grandmother, who had taken away his premature mother's right to raise him. His young mother, at the behest of her parents, was relocated to a far location unbeknown to her son. Jain was kept in ignorance of his biological father, who had been rejected by his grandma for his low social rung. Happily, the young mother's situation will turn out well for her in her relocation Her high education gains her an enviable position in administration. She is also able to win the admiration and...

Jain came to life in a huge controversy. Few months after his birth, he was put under the guardianship of his grandmother, who had taken away his premature mother's right to raise him. His young mother, at the behest of her parents, was relocated to a far location unbeknown to her son. Jain was kept in ignorance of his biological father, who had been rejected by his grandma for his low social rung. Happily, the young mother's situation will turn out well for her in her relocation Her high education gains her an enviable position in administration. She is also able to win the admiration and...

This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.
Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, FrEchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces.
The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces.