MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02643nam a2200373 4500 |
| 001 - CONTROL NUMBER |
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| control field |
1879647117 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
DE-627 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20240515101839.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
tu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240131s2023 sz ||||| 00| ||eng c |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783031450358 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(DE-627)1879647117 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(DE-599)KXP1879647117 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)1419441425 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DE-627 |
| Language of cataloging |
ger |
| Transcribing agency |
DE-627 |
| Description conventions |
rda |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| 044 ## - COUNTRY OF PUBLISHING/PRODUCING ENTITY CODE |
|---|
| ISO country code |
XA-CH |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Santambrogio, Filippo |
| Relator term |
VerfasserIn |
| Authority record control number |
(DE-588)116506510X |
| -- |
(DE-627)1029260265 |
| -- |
(DE-576)510226957 |
| Relator code |
aut |
| 9 (RLIN) |
6656 |
| 245 12 - TITLE STATEMENT |
|---|
| Title |
A course in the calculus of variations |
| Remainder of title |
optimization, regularity, and modeling |
| Statement of responsibility, etc. |
Filippo Santambrogio |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cham |
| Name of producer, publisher, distributor, manufacturer |
Springer |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2023] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
© 2023 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxi, 338 Seiten |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
Text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Universitext |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mathematical complexities they present. Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical questions such as the existence and uniqueness of solutions, their characterization in terms of partial differential equations, and their regularity. It includes both classical and recent results on one-dimensional variational problems, as well as the adaptation to the multi-dimensional case. Here, convexity plays an important role in establishing semi-continuity results and connections with techniques from optimization, and convex duality is even used to produce regularity results. This is then followed by the more classical Hölder regularity theory for elliptic PDEs and some geometric variational problems on sets, including the isoperimetric inequality and the Steiner tree problem. The book concludes with a chapter on the limits of sequences of variational problems, expressed in terms of Γ-convergence. While primarily designed for master's-level and advanced courses, this textbook, based on its author's instructional experience, also offers original insights that may be of interest to PhD students and researchers. A foundational understanding of measure theory and functional analysis is required, but all the essential concepts are reiterated throughout the book using special memo-boxes. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical optimization. |
| 9 (RLIN) |
1155 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus of variations. |
| 9 (RLIN) |
5531 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Functional analysis. |
| 9 (RLIN) |
5469 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential equations. |
| 9 (RLIN) |
3420 |
| 951 ## - EQUIVALENCE OR CROSS-REFERENCE-GEOGRAPHIC NAME/AREA NAME [OBSOLETE] [CAN/MARC only] |
|---|
| Geographic name |
BO |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |