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TEXTBOOK 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 Christoffel’s symbols. Besides the students of mathematics, this book will be equally useful for the postgraduate students of physics. KEY FEATURES : Contains 250 worked out examples Includes more than 350 unsolved problems Gives thorough foundation in Tensors
Integral Equations and Calculus of Variations
Designed to meet requirements of undergraduate and postgraduate courses in Mathematics, Physics and Engineering, this book covers all the standard topics in detail. The illustrated examples are solved by classical analytic procedure. Theories as well as proofs of theorems are portrayed in a lucid manner.
TENSORS
The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information about the tensors along with the derivation of all the tensorial relations/equations in a simple manner. The book also deals in detail with topics of importance to the study of special and general relativity and the geometry of differentiable manifolds with a crystal clear exposition. The concepts dealt within the book are well supported by a number of solved exam...
Frontiers in Soil and Environmental Microbiology
Soil harbours a wide range of microorganisms with biotic potentials which can be explored for social benefits. The book Frontiers in Soil and Environmental Microbiology comprises an overview of the complex inter-relationship between beneficial soil microbes and crop plants, and highlights the potential for utilisation to enhance crop productivity, bioremediation and soil health. The book focusses on important areas of research such as biocide production, pesticide degradation and detoxification, microbial decay processes, remediation of soils contaminated with toxic metals, industrial wastes, and hydrocarbon pollutants. Features Presents the state of the art of microbial research in environmental and soil microbiology Discusses an integrated and systematic compilation of microbes in the soil environment and its role in agriculture and plant growth and productivity Elucidates microbial application in environmental remediation Explores advanced genomics topics for uncultivable microbes of soil
Mechanics of Materials
A systematic presentation of theory, procedures, illustrative examples, and applications, Mechanics of Materials provides the basis for understanding structural mechanics in engineering systems such as buildings, bridges, vehicles, and machines. The book incorporates the fundamentals of the subject into analytical methods, modeling approaches, nume
Introduction to Differential Geometry of Space Curves and Surfaces
This book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach. It can be used as part of a course on tensor calculus as well as a textbook or a reference for an intermediate-level course on differential geometry of curves and surfaces. The book is furnished with an index, extensive sets of exercises and many cross references, which are hyperlinked for the ebook users, to facilitate linking related concepts and sections. The book also contains a considerable number of 2D and 3D graphic illustrations to help the readers and users to visualize the ideas and understand the abstract concepts. We also provided an introductory chapter where the main concepts and techniques needed to understand the offered materials of differential geometry are outlined to make the book fairly self-contained and reduce the need for external references.
Intelligent Communication, Control and Devices
The book focuses on the integration of intelligent communication systems, control systems, and devices related to all aspects of engineering and sciences. It includes high-quality research papers from the 3rd international conference, ICICCD 2018, organized by the Department of Electronics, Instrumentation and Control Engineering at the University of Petroleum and Energy Studies, Dehradun on 21–22 December 2018. Covering a range of recent advances in intelligent communication, intelligent control and intelligent devices., the book presents original research and findings as well as researchers’ and industrial practitioners’ practical development experiences of.
Environmental Degradation: Causes and Remediation Strategies
The compliance of this book is helpful for academicians, researchers, students, as well as other people seeking the relevant material in current trends of studies on the topic of environmental degradation.
Meta-heuristic Optimization Techniques
This book offers a thorough overview of the most popular and researched meta-heuristic optimization techniques and nature-inspired algorithms. Their wide applicability makes them a hot research topic and an effi cient tool for the solution of complex optimization problems in various fi elds of sciences, engineering, and in numerous industries.
Mechanics:Newtonian Classical Relativistic Theory Problems Applications
The Book Covers The New Ugc Syllabus Of Applied Mathematics, Physics And Mechanics (Hons And M.Sc.) Syllabus For All Indian Universities. Students Appearing For Their Net/Slet/Gate Examinations Will Find This Book Useful Too.Contents: Preface; Bibliography; Mechanics Of Particles; Generalised Coordinates; Variational Principle; Lagrangian Mechanic; Hamiltonian Mechanics; Transformation Theory; Hamilton Jacobi Theory; Reference Frames; Rigid Body Motion; Central Force Field; Theory Of Oscillations; Relativistic Mechanics; Etc.
