Tensor Pdf

Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc.

Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc.

Cosmology in Scalar-Tensor Gravity covers all aspects of cosmology in scalar-tensor theories of gravity. Considerable progress has been made in this exciting area of physics and this book is the first to provide a critical overview of the research. Among the topics treated are: Scalar-tensor gravity and its limit to general relativity, Effective energy-momentum tensors and conformal frames, Gravitational waves in scalar-tensor cosmology, Specific scalar-tensor theories, Exact cosmological solutions and cosmological perturbations, Scalar-tensor scenarios of the early universe and inflation, Scalar-tensor models of quintessence in the present universe and their far-reaching consequences for the ultimate fate of the cosmos.An extensive bibliography guides the reader into more detailed literature on particular topics.Research on cosmology in scalar-tensor gravity is critically overviewed for the first time in this book. Scalar-tensor theories and their applications to modelling the early and the present universe are discussed. Features shared with string theories, exact cosmological solutions, cosmological perturbations, gravitational waves and conformal frames in scalar-tensor gravity are discussed.This book is of interest to researchers and postgraduate students working on cosmology, relativity, alternative theories of gravity, the phenomenology of string theories, theoretical physics and astrophysics.

This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side. In accordance with the contemporary way of scientific publications, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this monograph addresses graduate students as well as scientists working in this field. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.

This book brings together recent advances in tensor analysis and studies of its invariants such as twistors, spinors, kinematic tensors and others belonging to tensor algebras with extended structures to Lie algebras, Kac-Moody algebras, and enveloping algebras, among others.