Textbook of tensor calculus and differential geometry

Nayak, Prasuna Kumar

85950

Textbook of tensor calculus and differential geometry / Prasuna Kumar Nayak . — Delhi : PHI Learning, c2023.

540 p.

About the Book: Text Book Of Tensor Calculus And Differential- Geometry :------

Primarily intended for the undergraduate and postgraduate students of mathematics,this textbook covers both geometry and tensor in a single volume.This book aims to provide a conceptual exposition of the fundamental results in the theory of tensors.It also illustrates the applications of tensors to differential geometry,mechanics and relativity.Organized in ten chapters,it provides the origin and nature of the tensor along with the scope of the tensor calculus.Besides this,it also discusses N-dimensional Riemannian space,characteristic peculiarity of Riemannian space,intrinsic property of surfaces,and properties and transformation of Christoffels symbols.Besides the students of mathematics,this book will be equally useful for the postgraduate students of physics.
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Contents: ----

Preface1.Tensor Algebra

2.Riemannian Metric

3.ChristoffelS Symbols And Covariant Differentiation

4.Riemannian Geometry

5.Geometry Of Space Curve

6.Intrinsic Geometry Of Surface

7.Surfaces In Space

8.Curves On A Surface

9.Classical Mechanics

10.Relativistic MechanicsIndex

9788120345072 : Rs. 1050.00

Subjects--Topical Terms:
Tensor calculus
Differential geometry
Riemannian geometry
Mathematics—Geometry
Mathematical physics