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. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students doctoral students, postgraduate students engineers and researchers without restricting or generalizing the results.
- ISBN10 1786300095
- ISBN13 9781786300096
- Publish Date 23 May 2017 (first published 16 May 2017)
- Publish Status Active
- Publish Country GB
- Imprint ISTE Ltd
- Format Hardcover
- Pages 362
- Language English