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Textbook of Engineering Mathematics-I (2nd Edition). (Record no. 59155)

MARC details
000 -LEADER
fixed length control field 05657nam a22004573i 4500
001 - CONTROL NUMBER
control field EBC3017419
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124044.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2000 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9788122428476
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9788122427455
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3017419
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3017419
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10370242
035 ## - SYSTEM CONTROL NUMBER
System control number (CaONFJC)MIL253185
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)923652298
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number TA330.G36 2010
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gangwar, H.S.
245 10 - TITLE STATEMENT
Title Textbook of Engineering Mathematics-I (2nd Edition).
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Daryaganj :
Name of producer, publisher, distributor, manufacturer New Age International Ltd,
Date of production, publication, distribution, manufacture, or copyright notice 2000.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2010.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (447 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- Preface to theSecond Revised Edition -- Unit-1. Differential Calculus-I -- 1.1 Introduction -- 1.1 nth Derivative of Some Elementary Functions -- Exercise 1.1 -- 1.2 Leibnitz's Theorem -- Exercise 1.2 -- Exercise 1.3 -- Partial Differentiation -- 1.3 Function of Two Variables -- 1.4 Partial Differential Coefficients -- Exercise 1.4 -- 1.5 Homogeneous Function -- 1.6 Euler's Theorem on Homogeneous Functions -- Exercise 1.5 -- 1.7 Total Differential Coefficient -- Exercise 1.6 -- Curve Tracing -- 1.8 Procedure for Tracing Curves in Cartesian Form -- Exercise 1.7 -- 1.9 Polar Curves -- Exercise 1.8 -- 1.10 Parametric Curves -- Exercise 1.9 -- 1.11 Taylor's Theorem for Functions of Two Variables -- Exercise 1.10 -- Objective Type Questions -- Answers to Objective Type Questions -- Unit-ll. Differential Calculus-II -- 2.1 Jacobian -- Exercise 2.1 -- 2.2 Approximation of Errors -- Exercise 2.2 -- 2.3 Extrema of Function of Several Variables -- Exercise 2.3 -- 2.4 Lagrange's Method of Undetermined Multipliers -- Exercise 2.4 -- Objective Type Questions -- Answers to Objective Type Questions -- Unit-lll Matrices -- 3.0 Introduction -- 3.1 Definition of Matrix -- 3.2 Types of Matrices -- 3.3 Operations on Matrices -- 3.4 Track of Matrix -- 3.5 Properties of Transpose -- 3.6 Properties of Conjugate Matrices -- 3.7 Singular and Non-Singular Matrices -- 3.8 Adjoint of a Square Matrix -- 3.9 Inverse of a Matrix (Reciprocal) -- Exercise 3.1 -- 3.10 Elementary Row and Column Transformations -- 3.11 Method of Finding Inverse of a Non-Singular Matrix by Elementary Transformations -- Exercise 3.2 -- 3.12 Rank of a Matrix -- Exercise 3.3 -- 3.13 System of Linear Equations (Non-Homogeneous) -- 3.14 System of Homogeneous Equations -- 3.15 Gaussian Elimination Method -- Exercise 3.4 -- 3.16 Linear Dependence of Vectors -- Exercise 3.5.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3.17 Eigen Values and Eigen Vectors -- Exercise 3.6 -- 3.18 Cayley-Hamilton Theorem -- Exercise 3.7 -- 3.19 Diagonalization of a Matrix -- 3.20 Application of Matrices to Engineering Problems -- Exercise 3.8 -- Objective Type Questions -- Answers to Objective Type Questions -- Unit-lV. Multiple Integrals -- 4.1 Multiple Integrals -- 4.2 Double Integrals -- 4.3 Working Rule -- 4.4 Double Integration for Polar Curves -- Exercise 4.1 -- 4.5 Change of the Order of Integration -- 4.6 Change of Variables in a Multiple Integral -- Exercise 4.2 -- 4.7 Beta and Gamma Functions -- 4.8 Transformations of Gamma Function -- 4.9 Transformations of Beta Function -- 4.10 Relation between Beta and Gamma Functions -- 4.11 Some Important Deductions -- 4.12 Duplication Formula -- 4.13 Evaluate the Integrals -- Exercise 4.3 -- 4.14 Application to area (Double Integrals) -- Exercise 4.4 -- 4.15 Triple Integrals -- Exercise 4.5 -- 4.16 Application to Volume (Triple Integrals) -- Exercise 4.6 -- 4.17 Drichlet's* Theorem -- Exercise 4.7 -- Objective Type Questions -- Answers to Objective Type Questions -- Unit V. Vector Calculus -- 5.1 Vector Function -- 5.2 Vector Differentiation -- 5.3 Some Results on Differentiation -- Exercise 5.1 -- 5.4 Scalar Point Function -- 5.5 Vector Point Function -- 5.6 Gradient or Slope of Scalar Point Function -- 5.7 Geometrical Meaning of Gradient, Normal -- 5.8 Directional Derivative -- 5.9 Properties of Gradient -- Exercise 5.2 -- 5.10 Divergence of a Vector Point Function -- 5.11 Physical Interpretation of Divergence -- 5.12 Curl of a Vector -- 5.13 Physical Meaning of a Curl -- 5.14 Vector Identities -- Exercise 5.3 -- 5.15 Vector Integration -- 5.16 Line Integral -- 5.17 Surface Integral -- 5.18 Volume Integral -- Exercise 5.4 -- 5.19 Green's Theorem -- Exercise 5.5 -- 5.20 Stoke's Theorem.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5.21 Cartesian Representation of Stoke's Theorem -- Exercise 5.6 -- 5.22 Gauss's Divergence Theorem -- 5.23 Cartesian Representation of Gauss's Theorem -- Exercise 5.7 -- Objective Type Questions -- Answers to Objective Type Questions -- Unsolved Question Papers (2004-2009) -- Index.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Engineering mathematics.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Gupta, Prabhakar.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Gangwar, H.S
Title Textbook of Engineering Mathematics-I (2nd Edition)
Place, publisher, and date of publication Daryaganj : New Age International Ltd,c2000
International Standard Book Number 9788122427455
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3017419">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3017419</a>
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