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The Divergence Theorem and Sets of Finite Perimeter
Paperback
Series: Chapman & Hall/CRC Pure and Applied Mathematics, Book 303
ISBN13: 9780367381516
Publisher: Crc Pr Inc
Published: Sep 5 2019
Pages: 259
Weight: 0.70
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
This book presents a detailed development of the divergence theorem. The framework is that of Lebesgue integration-no generalized Riemann integrals of Henstock-Kurzweil variety are involved. The first part of the book establishes the divergence theorem by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral and Hausdorff measures are used. The second part introduces the sets of finite perimeter and the last part proves the general divergence theorem for bounded vector fields.
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