Engineering Mathematics [Paperback]

The book has been written as per the syllabus of B.Tech./B.E. First year and first semester of all Engineering Colleges of Uttar Pradesh, Uttarakhand Technical University, Dehradun and other  states of India. The book contains five units. Unit I-Matrices; Unit II-Differential Calculus-I; Unit II-Differential Calculus; and Unit V-Vector Calculus. The Chapters of each unit have been described in such a way that the students will understand the concept easily.

Salient Features:

•             Subject matter is presented in a very systematic and logical manner.                                                                         •             Every topic has been started with necessary introduction and developed gradually upto the  standard form

•             Exhaustive treatment of the subject

•             Worked out examples to clarify concepts

•             Problems for Practice included at the end of each chapter 

UNIT-I : MATRICES

1.Matrix Algebra

2.Rank of Matries

3.System of Linear Equations

4.Eigen Values, Eigen Vector Cayley Hamilton Theorem Diagonalisation

UNIT- II : DIFFERENTIAL CALCULUS – I

1.Successive Differentiation Leibnitz’s Theorem

2.Partial Differentiation

3.Change of Variables

4.Expansion of Function of Several Variables

UNIT – III : DIFFERENTIAL CALCULUS – II

1.Jacobians

2.Approximation of Errors

3.Exttema of Functions of Several Variables, Lagrange’s Method of Multipliers

UNIT- IV : INTEGRAL CALCULUS

1.Double Integrals

2.Change of Order of Integration

3.Application of Double Integrals

4.Triple Integrations

5.Beta and Gamma Functions, Dirichlet’s Integrals

UNIT – V : VECTOR CALCULUS

1.Vector Differentiation

2.Vector Integration

Gauss’s Theorem of Divergence 

Dr. V.N. Kala is presently working as a Professor in Applied Science and Humanities, Department of G.B. Pant Engineering College, Pauri Garhwal. He has been teaching postgraduate and undergraduate students for last 25 years. He completed his Ph.D. in Mathematics from H.N.B. Garhwal University, Srinagar, Garhwal in 1992. He has authored several papers which have been published in national and international journals. He has also authored two books entitled, "Matrices" in University Science Press, New Delhi,

Rakesh Chandra Bhadula is presently working as an Assistant Professor in the Department of Mathematics at Graphic Era Hill University, Dehradun. Currently he is pursuing his research from Uttrakhand Technical University, Dehradun. He has authored several research papers and two books entitled "Computer based Numerical and Statistical Techniques" in Kedar Nath Ram Nath Publication, Meerut,