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Lectures on integral equations. Notes by David Drazin [and] Anthony J. Tromba.

By: Material type: TextTextLanguage: English Series: Van Nostrand mathematical studies, 17Publication details: New York, Van Nostrand Reinhold Co. [1969]Description: iii, 124 p. 21 cmISBN:
  • 9780486810270
Subject(s): DDC classification:
  • 517.37 WID
Summary: This concise and classic volume presents the main results of integral equation theory as consequences of the theory of operators on Banach and Hilbert spaces. In addition, it offers a brief account of Fredholm's original approach. The self-contained treatment requires only some familiarity with elementary real variable theory, including the elements of Lebesgue integration, and is suitable for advanced undergraduates and graduate students of mathematics. Other material discusses applications to second order linear differential equations, and a final chapter uses Fourier integral techniques to investigate certain singular integral equations of interest for physical applications as well as for their own sake. A helpful index concludes the text.
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Project book Project book CUTN Central Library Sciences Non-fiction 517.37 WID (Browse shelf(Opens below)) Checked out to Renuka Devi V (20019T) 31/01/2024 48916

This concise and classic volume presents the main results of integral equation theory as consequences of the theory of operators on Banach and Hilbert spaces. In addition, it offers a brief account of Fredholm's original approach. The self-contained treatment requires only some familiarity with elementary real variable theory, including the elements of Lebesgue integration, and is suitable for advanced undergraduates and graduate students of mathematics.
Other material discusses applications to second order linear differential equations, and a final chapter uses Fourier integral techniques to investigate certain singular integral equations of interest for physical applications as well as for their own sake. A helpful index concludes the text.

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