| |
Description: This book is primarily written according to the unified syllabus, 2003 of Mathematics of first semester and second semester of all Engineering College affiliated to U.P. Technical University, Lucknow and Other States of India. This book covers the B.Tech/ B.E./B.Arch. First year Course of other Indian Engieering Colleges. This is divided into Thirty chapters on Different Topics. Multiple Integral Chapters has been divided into two seperate chapters i.e. one chapter on Double Integration and other chapter on Triple Integration, so that the readers can understand easily. The book fairly contains large number of solved examples from questions papers of examinations recently held by different universities and Engineering colleges so that the students may not find any difficulty while answering these problems in their final examination.
Contents: a¦ SEMESTER UNIT “ I: MATRICES a¦ Algebra of Matrices a¦ Rank of Matrix a¦ Solution of Simultaneous Equations (Application of Matrices) Eigen Values & Eigen Vectors UNIT II: DIFFERENTIAL CALCULUS “ I a¦Ordinary Differentiation and Leibnitz`s Theorem UNIT III : DIFFERENTIAL CALCULUS “ II a¦ Partial Differentiation a¦ Total Differentiation a¦ Expansion of Function of Several Variables a¦ Jacobians a¦ Errors a¦ Extrema of Function of Several Variables a¦ Curve Tracing UNIT “ IV : MULTIPLE INTEGRALS a¦ Double Integrals a¦ Triple Integral a¦ Gamma, Beta Functions, Differentiation Under the Integral Sign UNIT “ V : VECTOR CALCULUS a¦ Vector Differentiation a¦ Vector Integration II SEMESTER UNIT “ I: DIFFERENTIAL EQUATIONS a¦ Differential Equations a¦ Linear Differential Equations of Higher Order a¦ Differential Equations of Other Types Variable (557) 20.9 Method of variation of parameters (563). a¦ Applications of Differential Equations UNIT “ II: SERIES SOLUTIONS AND SPECIAL FUNCTIONS a¦ Series Solutions of Second Order Differential Equations a¦ Bessel`s Functions a¦ Legendre Functions UNIT “ III: LAPLACE TRANSFORMATION a¦ Laplace Transformation UNIT “ IV FOURIER SERIES & PARTIAL DIFFERENTIAL EQUATIONS a¦ Fourier Series a¦ Partial Differential Equations of First Order a¦ Non Linear Partial Differential Equations a¦ Linear Homogeneous and Non Homogeneous Differential Equations unit “V Applications of Partial Differential Equations a¦ Applications of Partial Differential Equations a¦ Question Papers (2008, 2007, 2006, 2005, 2004, 2003) a¦ Index ISBN 8121921155
|
| |
Pages : 958
|