Continuous Functions

by Jacques Simon

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This book is the second of a set dedicated to the mathematical tools used in partial differential equations derived from physics. It presents the properties of continuous functions, which are useful for solving partial differential equations, and, more particularly, for constructing distributions valued in a Neumann space. The author examines partial derivatives, the construction of primitives, integration and the weighting of value functions in a Neumann space. Many of them are new generalizations of classical properties for values in a Banach space. 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 1786300109
  • ISBN13 9781786300102
  • Publish Date 24 November 2020 (first published 4 September 2020)
  • Publish Status Active
  • Publish Country GB
  • Imprint ISTE Ltd
  • Format Hardcover
  • Pages 272
  • Language English