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Functional Analysis: An Elementary Introduction (Graduate Studies in Mathematics)
Markus Haase
€ 163.62
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Description for Functional Analysis: An Elementary Introduction (Graduate Studies in Mathematics)
Hardcover. Series: Graduate Studies in Mathematics. Num Pages: 379 pages. BIC Classification: PBKF. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 183 x 263 x 23. Weight in Grams: 844.
This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts.
The exposition is clear and rigorous, featuring full and detailed ... Read more
This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts.
The exposition is clear and rigorous, featuring full and detailed ... Read more
Product Details
Format
Hardback
Publication date
2014
Publisher
Amer Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
372
Place of Publication
Providence, United States
ISBN
9780821891711
SKU
V9780821891711
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
About Markus Haase
Markus Haase, Delft University of Technology, The Netherlands
Reviews for Functional Analysis: An Elementary Introduction (Graduate Studies in Mathematics)
Markus Haase’s beautiful book lives up to its promise: it provides a well-structured and gentle introduction to the fundamental concepts of functional analysis…The presentation is clear, the applications are insightful, and the large collection of exercises allow us to deepen the study of the presented material. Graduate students, as well as interested undergraduate students can easily profit from this well-written ... Read more