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Functional Analysis

Michel Willem
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      The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional  analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.
      Format: Paperback / softback CONTRIBUTORS: Michel Willem EAN: 9781489987945 COUNTRY: United States PAGES: WEIGHT: 3518 g HEIGHT: 235 cm
      PUBLISHED BY: Birkhauser Boston Inc DATE PUBLISHED: 2015-08-23 CITY: GENRE: MATHEMATICS / General, MATHEMATICS / Differential Equations / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Functional Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Mathematics, Calculus and mathematical analysis, Functional analysis and transforms, Differential calculus and equations

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      The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional  analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.
      Format: Paperback / softback CONTRIBUTORS: Michel Willem EAN: 9781489987945 COUNTRY: United States PAGES: WEIGHT: 3518 g HEIGHT: 235 cm
      PUBLISHED BY: Birkhauser Boston Inc DATE PUBLISHED: 2015-08-23 CITY: GENRE: MATHEMATICS / General, MATHEMATICS / Differential Equations / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Functional Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Mathematics, Calculus and mathematical analysis, Functional analysis and transforms, Differential calculus and equations

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      Be the first to write a review
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