Higher Engineering Mathematics (English, Paperback, Veerarajan T)

Price: Not Available

अभी उपलब्ध नहीं है

लेखक

Veerarajan T

Highlights

Language: English
Binding: Paperback
Publisher: Yes Dee Publishing Pvt
Genre: Fiction
ISBN: 9789380381503, 9380381506
Edition: 1, 2016
Pages: 462

जानकारी

This book caters to the requirements of Post Graduate students of various Engineering Colleges affiliated to Anna University. This book has simple and lucid presentations with a range of solved examples which enables the students to self-study and understand the topics with ease. The book has a methodical approach towards problem solving and helps the students grasp the topics and solve the exercise problems with confidence. The answers for the exercise problems are given at the end of each chapter.

Specifications

Book Details

Imprint	Yes Dee Publishing Pvt
Publication Year	2016
Table of Contents	Chapter 1 Linear Algebra And Advanced Matrix Theory 1.1 Vector Space 1.2 Inner Product 1.3 Norm 1.4 Generalised Eigenvector 1.5 Canonical Forms 1.6 QR-Factorisation 1.7 Least Square Method 1.8 Singular Value Decomposition of an (m × n) Rectangular Matrix A, when m ≥ n Chapter 2 Calculus of Variations 2.1 Euler-Lagrange Equation for the Extremum of the Functional v[y(x)] between Fixed End Points 2.2 Necessary Condition for the Extremum of a Functional Depending on a Function of Two Independent Variables 2.3 Variational Problems Involving a Conditional Extremum 2.4 Variational Problems with Moving Boundaries/Variables End Points 2.5 Sufficient Conditions for the Extremum of the Functional 2.6 Direct Methods Chapter 3 Tensor Analysis 3.1 Summation Convention 3.2 Covariant and Contravariant Vectors 3.3 Second Order Tensors 3.4 Basic Operations of Tensors 3.5 Symmetric and Skew-Symmetric Tensors 3.6 Christoffel’s Symbols 3.7 Covariant Differentiation Chapter 4 Laplace Transforms and Generalised Fourier Series 4.1 Laplace Transforms of the Bessel’s Functions J0(x) and J1(x) 4.2 Laplace Transform of Error Function 4.3 Complex Inverse Formula 4.4 Generalised Fourier Series 4.5 Sturm−Liouville Systems Chapter 5 Estimation Theory 5.1 Interval Estimation 5.2 Point Estimation 5.3 Methods of Finding Estimators Chapter 6 Multiple and Partial Correlations 6.1 A Note on Yule’s Subscript Notation 6.2 Plane of Regression 6.3 Properties of Residuals 6.4 Coefficient of Multiple Correlation 6.5 Partial Correlation Coefficient in Terms of Simple Correlation Coefficients Chapter 7 Multivariate Analysis 7.1 Mean Vectors and Covariance Matrices 7.2 Partitioning the Covariance Matrix 7.3 Mean Vector and Covariance Matrix for Linear Combination of Random Variables 7.4 Multivariate Normal (MVN) Distribution 7.5 Principal Components Chapter 8 Linear Programming 8.1 Linear Programming Problem(L.P.P) 8.2 Formulation of a Linear Programming Problem 8.3 Simplex Method 8.4 Transportation Problem 8.5 Assignment Problem Chapter 9 Dynamic Programming 9.1 Bellman’s Principle of Optimality 9.2 Solution of Linear Programming Problem as a Dynamic Programming Problem

Contributors

Author Info

T. Veerarajan is Dean (Retd.), Department of Mathematics, Velammal College of Engineering and Technology, Madurai, Tamil Nadu. A Gold Medalist from Madras University, he has had a brilliant academic career all through. He has 50 years of teaching experience at undergraduate and postgraduate levels in various established engineering colleges in Tamil Nadu including Anna University, Chennai.

University Books Details

Specialization