Textbook of Engineering Mathematics-I (2nd Edition). (Record no. 59155)
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fixed length control field | 05657nam a22004573i 4500 |
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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> |
Public note | Click to View |
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