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The Divergence Theorem and Sets of Finite Perimeter

The Divergence Theorem and Sets of Finite Perimeter Mathematics

The Divergence Theorem and Sets of Finite Perimeter

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Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
260
Release Date:
2019-09-05
Publication Date:
2019-09-05
Publisher:
Chapman and Hall/CRC
Languages:
Original: English
ISBN10:
0367381516
ISBN13:
9780367381516
GPSR Manufacturer Reference:
Weight:
401 g
Height:
156 cm
Width:
234 cm
Thickness:
14 cm
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