You may have to Search all our reviewed books and magazines, click the sign up button below to create a free account.
Following the global treatment of coordinate free method, this book derives results on a variety of theories; from almost complex manifolds to LP-Sasakian manifolds. Utilising a lucid manner, each concept in Complex Manifolds and Contact Manifolds is explained comprehensively.
Differential Geometry of Manifolds discusses the theory of differentiable and Riemannian manifolds to help students understand the basic structures and consequent developments. Since the tangent vector plays a crucial role in the study of differentiable manifolds, this idea has been thoroughly discussed. In the theory of Riemannian geometry some new proofs have been included to enable the reader understand the subject in a comprehensive and systematic manner. This book will also benefit the postgraduate students as well as researchers working in the field of differential geometry and its applications to general relativity and cosmology.
Provides 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 study in Riemannian geometry.
Vector Analysis with Applications discusses the theory of vector algebra, vector differential and integral calculus with applications to various fields such as geometry, mechanics, physics and engineering. The concept of vector analysis is explained lucidly with the geometric notions and physical motivations. Many new approaches and new problems have been incorporated to enable the readers understand the subject in a comprehensive and systematic manner. Numerous solved problems have been included in each chapter with sufficient number of exercises. Each concept is explained with geometric figures.
This work covers all the basic topics of tensor analysis in a lucid and clear language and is aimed at both the undergraduate and postgraduate in Civil, Mechanical and Aerospace Engineering and in Engineering Physics.
None
This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of...
"Vector Analysis with Applications discusses the theory of vector algebra, vector differential and integral calculus with applications to various fields such as geometry, mechanics, physics and engineering. The concept of vector analysis is explained lucidly with the geometric notions and physical motivations." -- Publisher's description.
None