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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781461445388 |
|
978-1-4614-4538-8 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA299.6-433 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Penot, Jean-Paul. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Calculus Without Derivatives |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Jean-Paul Penot. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XX, 524 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Graduate Texts in Mathematics, |
International Standard Serial Number |
0072-5285 ; |
Volume number/sequential designation |
266 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Preface -- 1 Metric and Topological Tools -- 2 Elements of Differential Calculus -- 3 Elements of Convex Analysis -- 4 Elementary and Viscosity Subdifferentials -- 5 Circa-Subdifferentials, Clarke Subdifferentials -- 6 Limiting Subdifferentials -- 7 Graded Subdifferentials, Ioffe Subdifferentials -- References -- Index . |
520 ## - SUMMARY, ETC. |
Summary, etc |
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global analysis (Mathematics). |
|
Topical term or geographic name as entry element |
Functional analysis. |
|
Topical term or geographic name as entry element |
Systems theory. |
|
Topical term or geographic name as entry element |
Mathematical optimization. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Analysis. |
|
Topical term or geographic name as entry element |
Real Functions. |
|
Topical term or geographic name as entry element |
Optimization. |
|
Topical term or geographic name as entry element |
Systems Theory, Control. |
|
Topical term or geographic name as entry element |
Functional Analysis. |
|
Topical term or geographic name as entry element |
Applications of Mathematics. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781461445371 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-4538-8 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |