Language:
English
繁體中文
Help
回圖書館首頁
手機版館藏查詢
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Derivation and integration
~
Pfeffer, Washek F.
Linked to FindBook
Google Book
Amazon
博客來
Derivation and integration
Record Type:
Electronic resources : Monograph/item
Title/Author:
Derivation and integration/ Washek F. Pfeffer.
remainder title:
Derivation & Integration
Author:
Pfeffer, Washek F.
Published:
Cambridge :Cambridge University Press, : 2001.,
Description:
xvi, 266 p. :ill., digital ;24 cm.
Notes:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:
Integrals, Generalized. -
Online resource:
https://doi.org/10.1017/CBO9780511574764
ISBN:
9780511574764
Derivation and integration
Pfeffer, Washek F.
Derivation and integration
[electronic resource] /Derivation & IntegrationWashek F. Pfeffer. - Cambridge :Cambridge University Press,2001. - xvi, 266 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;140. - Cambridge tracts in mathematics ;140..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Topology --
This 2001 book is devoted to an invariant multidimensional process of recovering a function from its derivative. It considers additive functions defined on the family of all bounded BV sets that are continuous with respect to a suitable topology. A typical example is the flux of a continuous vector field. A very general Gauss-Green theorem follows from the sufficient conditions for the derivability of the flux. Since the setting is invariant with respect to local lipeomorphisms, a standard argument extends the Gauss-Green theorem to the Stokes theorem on Lipschitz manifolds. In addition, the author proves the Stokes theorem for a class of top-dimensional normal currents - a first step towards solving a difficult open problem of derivation and integration in middle dimensions. The book contains complete and detailed proofs and will provide valuable information to research mathematicians and advanced graduate students interested in geometric integration and related areas.
ISBN: 9780511574764Subjects--Topical Terms:
544186
Integrals, Generalized.
LC Class. No.: QA312 / .P458 2001
Dewey Class. No.: 515.4
Derivation and integration
LDR
:02939nmm a2200301 a 4500
001
2227340
003
UkCbUP
005
20151005020622.0
006
m d
007
cr nn 008maaau
008
210414s2001 enk o 1 0 eng d
020
$a
9780511574764
$q
(electronic bk.)
020
$a
9780521792684
$q
(hardback)
020
$a
9780521155656
$q
(paperback)
035
$a
CR9780511574764
040
$a
UkCbUP
$b
eng
$c
UkCbUP
$d
GP
041
0
$a
eng
050
4
$a
QA312
$b
.P458 2001
082
0 4
$a
515.4
$2
21
090
$a
QA312
$b
.P524 2001
100
1
$a
Pfeffer, Washek F.
$3
604844
245
1 0
$a
Derivation and integration
$h
[electronic resource] /
$c
Washek F. Pfeffer.
246
3
$a
Derivation & Integration
260
$a
Cambridge :
$b
Cambridge University Press,
$c
2001.
300
$a
xvi, 266 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Cambridge tracts in mathematics ;
$v
140
500
$a
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505
0 0
$t
Topology --
$t
Measures --
$t
Covering theorems --
$t
Densities --
$t
Lipschitz maps --
$t
BV functions --
$t
BV sets --
$t
Slices of BV sets --
$t
Approximating BV sets --
$t
Charges --
$t
The definition and examples --
$t
Spaces of charges --
$t
Derivates --
$t
Derivability --
$t
Reduced charges --
$t
Partitions --
$t
Variations of charges --
$t
Some classical concepts --
$t
The essential variation --
$t
The integration problem --
$t
An excursion to Hausdorff measures --
$t
The critical variation --
$t
AC[subscript *] charges --
$t
Essentially clopen sets --
$t
Charges and BV functions --
$t
The charge F x L[superscript 1] --
$t
The space (CH[subscript *](E), S) --
$t
Duality --
$t
More on BV functions --
$t
The charge F [angle] g --
$t
Lipeomorphisms --
$t
Integration --
$t
The R-integral --
$t
Multipliers --
$t
Change of variables --
$t
Averaging --
$t
The Riemann approach --
$t
Charges as distributional derivatives --
$t
The Lebesgue integral --
$t
Extending the integral --
$t
Buczolich's example --
$t
I-convergence --
$t
The GR-integral --
$t
Additional properties.
520
$a
This 2001 book is devoted to an invariant multidimensional process of recovering a function from its derivative. It considers additive functions defined on the family of all bounded BV sets that are continuous with respect to a suitable topology. A typical example is the flux of a continuous vector field. A very general Gauss-Green theorem follows from the sufficient conditions for the derivability of the flux. Since the setting is invariant with respect to local lipeomorphisms, a standard argument extends the Gauss-Green theorem to the Stokes theorem on Lipschitz manifolds. In addition, the author proves the Stokes theorem for a class of top-dimensional normal currents - a first step towards solving a difficult open problem of derivation and integration in middle dimensions. The book contains complete and detailed proofs and will provide valuable information to research mathematicians and advanced graduate students interested in geometric integration and related areas.
650
0
$a
Integrals, Generalized.
$3
544186
830
0
$a
Cambridge tracts in mathematics ;
$v
140.
$3
3470691
856
4 0
$u
https://doi.org/10.1017/CBO9780511574764
based on 0 review(s)
Location:
ALL
電子資源
Year:
Volume Number:
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
W9396768
電子資源
11.線上閱覽_V
電子書
EB QA312 .P458 2001
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login