Smooth Functions and Maps / (Record no. 43957)

MARC details
000 -LEADER
fixed length control field 02175nam a22002417a 4500
003 - CONTROL NUMBER IDENTIFIER
control field CUTN
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250124114626.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250124b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783030794408
041 ## - LANGUAGE CODE
Language English
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.43
Item number MAK
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Makarov, Boris M.
245 ## - TITLE STATEMENT
Title Smooth Functions and Maps /
Statement of responsibility, etc Boris M. Makarov, Anatolii N. Podkorytov
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cham:
Name of publisher, distributor, etc Springer,
Date of publication, distribution, etc 2021.
300 ## - PHYSICAL DESCRIPTION
Extent 284 pages :
Other physical details ill. ;
505 ## - FORMATTED CONTENTS NOTE
Title (Chapter I, ?8), Whitney's extension theorem for smooth function (Chapter I, ?11) and some of its corollaries, global diffeomorphism theorem (Chapter II, ?5), results on sets of critical values of smooth mappings and the related Whitney example (Chapter IV). The text features multiple examples illustrating the results obtained and demonstrating their accuracy. Moreover, the book contains over 150 problems and 19 illustrations. Perusal of the book equips the reader to further explore any literature basing upon multivariable calculus.
520 ## - SUMMARY, ETC.
Summary, etc The book contains a consistent and sufficiently comprehensive theory of smooth functions and maps insofar as it is connected with differential calculus. The scope of notions includes, among others, Lagrange inequality, Taylor's formula, finding absolute and relative extrema, theorems on smoothness of the inverse map and on conditions of local invertibility, implicit function theorem, dependence and independence of functions, classification of smooth functions up to diffeomorphism. The concluding chapter deals with a more specific issue of critical values of smooth mappings. In several chapters, a relatively new technical approach is used that allows the authors to clarify and simplify some of the technically difficult proofs while maintaining full integrity. Besides, the book includes complete proofs of some important results which until now have only been published in scholarly literature or scientific journals (remainder estimates of Taylor's formula in a nonconvex area
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Smooth Functions
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential Calculus
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Analysis
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Podkorytov, Anatolii N.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Project book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Location Shelving location Date of Cataloging Total Checkouts Full call number Barcode Checked out Date last seen Date checked out Price effective from Koha item type
    Dewey Decimal Classification     Non-fiction CUTN Central Library CUTN Central Library Sciences 24/01/2025 1 515.43 MAK 51936 21/02/2025 24/01/2025 24/01/2025 24/01/2025 Project book