Multivariable analysis (Record no. 9077)

MARC details
000 -LEADER
fixed length control field 02057nam a2200253Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250716164633.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220909b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780857291912
040 ## - CATALOGING SOURCE
Original cataloging agency CSL
Language of cataloging eng
Transcribing agency CSL
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
084 ## - COLON CLASSIFICATION NUMBER
Classification number B32 Q1 TB
Assigning agency CSL
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Shirali, Satish
Relator term author.
245 #0 - TITLE STATEMENT
Title Multivariable analysis
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. London :
Name of publisher, distributor, etc. Springer Verlag,
Date of publication, distribution, etc. 2011.
300 ## - PHYSICAL DESCRIPTION
Extent ix, 394p.
500 ## - GENERAL NOTE
General note Includes References 387-388p. and Index 389-394p.
520 ## - SUMMARY, ETC.
Summary, etc. This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Multivariable analysis.
9 (RLIN) 815801
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Statistics.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Vasudeva, Harkrishan Lal
Relator term co-author.
9 (RLIN) 815802
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Classification part B32 Q1 TB
Koha item type Textual
Source of classification or shelving scheme Colon Classification (CC)
Suppress in OPAC No
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
        Central Science Library Central Science Library 2022-09-12 1038, 30/03/2012, Total Books India   B32 Q1 TB SL1558050 2022-09-12 2022-09-12 Textual
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