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An Introduction to Functional Analysis - Hardcover

 
9780521899642: An Introduction to Functional Analysis
  • PublisherCambridge University Press
  • Publication date2020
  • ISBN 10 0521899648
  • ISBN 13 9780521899642
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages416

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Hardcover. Condition: new. Hardcover. This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the HilbertSchmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the HahnBanach theorem, the KreinMilman theorem, and results based on the Baire category theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully-worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but knowledge of measure theory is not required, making this book ideal for upper undergraduate-level and beginning graduate-level courses. This text covers key results in functional analysis that are essential for further study in analysis, the calculus of variations, dynamical systems, and the theory of partial differential equations. More than 200 fully-worked exercises and detailed proofs are given, making this ideal for upper undergraduate and beginning graduate courses. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521899642

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