Derivation and integration / (Record no. 517984)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03241nam a22003738i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511574764 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160235.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090522s2001||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511574764 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521792684 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521155656 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA312 |
| Item number | .P458 2001 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.4 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pfeffer, Washek F., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Derivation and integration / |
| Statement of responsibility, etc | Washek F. Pfeffer. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Derivation & Integration |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xvi, 266 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 140 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Topology -- |
| -- | Measures -- |
| -- | Covering theorems -- |
| -- | Densities -- |
| -- | Lipschitz maps -- |
| -- | BV functions -- |
| -- | BV sets -- |
| -- | Slices of BV sets -- |
| -- | Approximating BV sets -- |
| -- | Charges -- |
| -- | The definition and examples -- |
| -- | Spaces of charges -- |
| -- | Derivates -- |
| -- | Derivability -- |
| -- | Reduced charges -- |
| -- | Partitions -- |
| -- | Variations of charges -- |
| -- | Some classical concepts -- |
| -- | The essential variation -- |
| -- | The integration problem -- |
| -- | An excursion to Hausdorff measures -- |
| -- | The critical variation -- |
| -- | AC[subscript *] charges -- |
| -- | Essentially clopen sets -- |
| -- | Charges and BV functions -- |
| -- | The charge F x L[superscript 1] -- |
| -- | The space (CH[subscript *](E), S) -- |
| -- | Duality -- |
| -- | More on BV functions -- |
| -- | The charge F [angle] g -- |
| -- | Lipeomorphisms -- |
| -- | Integration -- |
| -- | The R-integral -- |
| -- | Multipliers -- |
| -- | Change of variables -- |
| -- | Averaging -- |
| -- | The Riemann approach -- |
| -- | Charges as distributional derivatives -- |
| -- | The Lebesgue integral -- |
| -- | Extending the integral -- |
| -- | Buczolich's example -- |
| -- | I-convergence -- |
| -- | The GR-integral -- |
| -- | Additional properties. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Integrals, Generalized. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521792684 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 140. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511574764">https://doi.org/10.1017/CBO9780511574764</a> |
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