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Tensor Calculus
Tensor Calculus while presenting the concepts and Techniques begins with a brief introduction and history of tensors, followed by the study of systems of different orders, Einstein summation convention, kronecker symbol leading to the concepts of tensor algebra and tensor calculus. The authors conclude with a stimulating study in Riemannian geometry. Table Of Contents: Preface to the Second Edition / Preface to the First Edition / Introduction / Some Preliminaries: Introduction / Systems of Different Orders / Summation Convention / Kronecker Symbols / Some Results of Determinants / Differentiation of a Determinant / Linear Equations, Cramer?s Rule / Examples / Exercises / Tensor Algebra: Introduction / n-dimensional Space / Transformation of Coordinates in Sn / Invariants / Vectors / Tensors of Second Order / Mixed Tensors of Type (p, q) / Zero Tensor / Tensor Field / Algebra of Tensors / Equality of Two Tensors / Symmetric and Skew-symmetric Tensors / Outer Multiplication and Contraction / Inner Multiplication / Quotient Law of Tensors / Reciprocal Tensor of a Tensor / Relative Tensor / Cross Product or Vector Product of Two Vectors / Examples / Exercises / Tensor Calculus: Introduction / Riemannian Space / Christoffel Symbols and their Properties / Covariant Differentiation of Tensors / Riemann-Christoffel Curvature Tensor / Intrinsic Differentiation / Geodesics, Riemannian Coordinates and Geodesic Coordinates: Introduction / Calculus of Variations / Families of Curves / Euler?s Conditions / Geodesics / Riemannian and Geodesic Coordinates / History of Tensor Calculus / Bibliography / Index. Audience Undergraduate & Postgraduate Students Special Features: Self-contained?Basic Concepts of Vectors and Matrices Explained?Unique Presentation to Understand the Theory?Illuminating ExamplesNEW TO THE SECOND EDITION:?Several new problems alongwith
Physics A Student Companion
A new revision guide for students taking introductory physics courses, be they physics majors, or maths or engineering students. Informal style a student to student approach Readers are assumed to have a basic understanding of the subject Notes are used to highlight the major equations, show where they come from and how they can be used and applied The aim is to consolidate understanding, not teach the basics from scratch
Feynman Lectures on Physics
"The whole thing was basically an experiment," Richard Feynman said late in his career, looking back on the origins of his lectures. The experiment turned out to be hugely successful, spawning publications that have remained definitive and introductory to physics for decades. Ranging from the basic principles of Newtonian physics through such formidable theories as general relativity and quantum mechanics, Feynman's lectures stand as a monument of clear exposition and deep insight. Timeless and collectible, the lectures are essential reading, not just for students of physics but for anyone seeking an introduction to the field from the inimitable Feynman.
Pearson IIT foundation chemistry class 9
Pearson IIT Foundation Series, one of the most reliable and comprehensive source of content for competitive readiness, is now thoroughly updated and redesigned to make learning more e ective and interesting for students. The core objective of this series is to help aspiring students understand the fundamental concepts with clarity, in turn, helping them to master the art of problem-solving. Hence, great care has been taken to present the concepts in a lucid manner with the help of neatly sketched illustrations and well thought-out real-life examples. As a result, this series is indispensable for any student who intends to crack high-stakes examinations such as Joint Entrance Examination (JEE), National Talent Search Examination (NTSE), Olympiads-Junior/Senior /International, Kishore Vaigyanik Protsahan Yojana (KVPY), etc. The series consists of 12 books spread across Physics, Chemistry, and Mathematics for classes VII to X.