# Schaum series Vector Analysis Book pdf Download 2022

Schaum series Vector Analysis 2022 Book Download in the pdf format .

## Schaum series Vector Analysis Book Pdf DOWNLOAD for IIT JAM, JEST, TIFR, UOH etc.

In this post  you will  get  access   to  Downlaod  the SCHAUM’S OUTLINE (Schaum series) Vector Analysis   Latest edition  Book in the pdf format.  This book  contains very good enough material of Linear algebra   which  helps  you in the preperation of IIT JAM , HCU, JNU, DU, NET , GATE, and   other  many  more  M.Sc and Ph.D  Entrances. So , if  you  are  really  looking  forward  to  this  SCHAUM’S OUTLINE Vector Analysis  then stop worrying because here  you can get  it  for free .

## BOOK CONTENTS

CHAPTER 1 : VECTORS AND SCALAR.

Vectors. Scalars. Vector algebra. Laws of vector algebra. Unit vectors. Rectangular unit vectors, Components of a vector. Scalar fields. Vector fields.

CHAPTER 2 : THE DOT AND CROSS PRODUCT

Dot or scalar products. Cross or vector products. Triple products. Reciprocal sets of
vectors.

CHAPTER 3 : VECTOR DIFFERENTIATION..

Ordinary derivatives of vectors. Space curves. Continuity and differentiability. Differentiation formulas. Partial derivatives of vectors Differentials of vectors. Differential geometry. Mechanics.

CHAPTER 4 : GRADIENT, DIVERGENCE AND CURL

The vector differential operator del. Gradient. Divergence. Curl. Formulas involving del.
Invariance.

CHAPTER 5 : VECTOR INTEGRATION

Ordinary integrals of vectors. Line integrals. Surface integrals. Volume integrals.

CHAPTER 6 : THE DiVERGENCE THEOREM, STOKES’ THEOREM, AND RELATED INTEGRAL THEOREM

The divergence theorem of Gauss. Stokes’ theorem,. Green’s theorem in the plane. Related integral theorems. Integral operator form for del.

CHAPTER 7 : CURVILINEAR COORDINATES

Transformation of coordinates. Orthogonal curvilinear_coordinates. Unit vectors in curvilinear systems. Arc length and volume elements, Gradient, divergence and curl. Special orthogonal coordinate systems. Cylindrical coordinates. Spherical coordinates. Parabolic cylindrical coordinates. Paraboloidal coordinates. Elliptic cylindrical coordinates. Prolate spheroidal coordinates. Oblate spheroidal coordinates. Elipsoidal coordinates. Bipolar coordinates.

CHAPTER 8 : TENSOR ANALYSIS

Physical laws. Spaces of N dimensions. Coordinate transtormations.The summation convention. Contravariant and _covariant vectors. Contravariant, covariant and mixed tensors. The Kronecker delta. Tensors of rank greater than two. Scalars or invariants. Tensor fields. Symmetric and skew-symmetric tensors. Fundamental operations with tensors. Matrices. Matrix algebra. The line element and metric tensor.onjugate or
reciprocal tensors. Associated tensors. Length of a vector. Angle between vectors. Physical components. Christoffel’s symbols. Transformation laws of Christoffel’s symbols. Geodesics. Covariant derivatives. Permutation symbols and tensors Tensor form of gradient, divergence and curl. The intrinsic or absolute derivative. Relative and absolute tensors.

INDEX

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