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010   $a9786612531859
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100   $a20081221d2010      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 12$aA textbook of engineering mathematics$iI$b[electronic resource] /$fH. S. Gangwar, Prabhakar Gupta
205   $a2nd ed.
210   $aNew Delhi $cNew Age International$d2010
215   $a1 online resource (447 p.)
300   $aDescription based upon print version of record.
311   $a81-224-2745-6 
327   $a""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""
327   $a""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""
327   $a""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""
327   $a""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""; ""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 ""
327   $a""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""
327   $a""4.14 Application to area (Double Integrals)""
606   $aEngineering mathematics
606   $aEngineering mathematics$vProblems, exercises, etc
606   $aMathematics
608   $aElectronic books.
615  0$aEngineering mathematics.
615  0$aEngineering mathematics
615  0$aMathematics.
700   $aGangwar$b H. S$0957346
701   $aGupta$b Prabhakar$0957347
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910458295303321
996   $aA textbook of engineering mathematics$92168524
997   $aUNINA