Smooth functions and maps (Record no. 36793)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02653 a2200313 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | NISER |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260128143834.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260128b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783030794408 |
| Qualifying information | Paperback |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | NISER LIBRARY |
| Language of cataloging | eng |
| Transcribing agency | NISER LIBRARY |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.16 |
| Item number | MAK-S |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Makarov, Boris M. |
| 245 10 - TITLE STATEMENT | |
| Title | Smooth functions and maps |
| 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 | xix, 284 pages : |
| Other physical details | illustrations ; |
| Dimensions | 23 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Moscow lectures ; |
| Volume/sequential designation | v. 7. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and indexes. |
| 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.<br/><br/>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.<br/><br/>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 (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).<br/><br/>The text features multiple examples illustrating the results obtained and demonstrating their accuracy. Moreover, the book contains over 150 problems and 19 illustrations.<br/><br/>Perusal of the book equips the reader to further explore any literature basing upon multivariable calculus. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Global analysis |
| General subdivision | Mathematics |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Manifolds (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lagrange function |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Taylor’s formula |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lagrange inequality |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Podkorytov, Anatolii N. |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents |
| Uniform Resource Identifier | <a href="https://link.springer.com/content/pdf/bfm:978-3-030-79438-5/1">https://link.springer.com/content/pdf/bfm:978-3-030-79438-5/1</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Reviews |
| Uniform Resource Identifier | <a href="https://www.goodreads.com/book/show/58135711-smooth-functions-and-maps?ac=1&from_search=true&qid=LoNDH9xd4u&rank=1#CommunityReviews">https://www.goodreads.com/book/show/58135711-smooth-functions-and-maps?ac=1&from_search=true&qid=LoNDH9xd4u&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Book |
| Source of classification or shelving scheme | Universal Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Universal Decimal Classification | NISER LIBRARY | NISER LIBRARY | 28/01/2026 | 16 | 4059.91 | 515.16 MAK-S | 26444 | 28/01/2026 | 5608.98 | 28/01/2026 | Book |
