vector analysis 2nd edition

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Vector Analysis

Author : DIPAK CHATTERJEE
ISBN : 8120327322
Genre : Mathematics
File Size : 74. 18 MB
Format : PDF
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This fully revised and thoroughly updated second edition takes into account the constructive suggestions received from teachers and students alike on the first edition. A new chapter on Generalized Coordinate System has been added to make the book complete. Some more examples have been provided to highlight the applicability of vectors in physics and engineering. The answers to all the end-of-chapter exercises have been given in this edition to enhance the utility of the book. Beginning with the basic concepts of vector methods and various operations of vector-valued functions such as continuity, differentiability, and integrability, the three fundamental differential operators-gradient, divergence, and curl-are fully explored. The text then moves on to provide the essentials of differential geometry with particular reference to curvature and torsion, and Serret-Frenet equations. The chapter on mechanics demonstrates the strength of vectors in tackling physical problems. The book concludes with a new chapter on notions of vectors in the generalized coordinate system. This book is primarily intended for use by undergraduate students of mathematics and science for a course in vector analysis. It will also be useful to engineering students, as part of a course in engineering mathematics, where they are introduced to vector algebra, so essential for assimilating a better understanding of the physical aspects of the theory.

Vector Analysis

Author : Louis Brand
ISBN : 9780486154848
Genre : Mathematics
File Size : 28. 25 MB
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This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.

Vector And Tensor Analysis Second Edition

Author : Eutiquio C. Young
ISBN : 0824787897
Genre : Technology & Engineering
File Size : 39. 65 MB
Format : PDF, Mobi
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Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved.

Vector Analysis

Author : R. K. Pandey
ISBN : 8183562973
Genre : Vector analysis
File Size : 20. 61 MB
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This book play a major role as basic tools in Differential geometry, Mechanics, Fluid Mathematics. The bulk of the book consists of five chapters on Vector Analysis and its applications. Each chapter is accompanied by a problem set. The problem sets constitute an integral part of the book. Solving the problems will expose you to the geometric, symbolic and numerical features of multivariable calculus. Contents: Algebra of Vectors, Differentiation of Vectors, Gradient Divergence and Curl, Vector Integration, Application of Vector Integration.

Schaum S Outline Of Vector Analysis 2ed

Author : Murray Spiegel
ISBN : 9780071815222
Genre : Study Aids
File Size : 23. 67 MB
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The guide to vector analysis that helps students study faster, learn better, and get top grades More than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's is better than ever-with a new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study. Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

Schaum S Outline Of Vector Analysis

Author : Murray R. Spiegel
ISBN : 007060228X
Genre :
File Size : 44. 38 MB
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Confusing Textbooks? Missed Lectures? Not Enough Time? . . Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's Outlines to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. . . This Schaum's Outline gives you. . Practice problems with full explanations that reinforce knowledge. Coverage of the most up-to-date developments in your course field. In-depth review of practices and applications. . Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!. . Schaum's Outlines-Problem Solved..

Vector Analysis And Cartesian Tensors

Author : D. E. Bourne
ISBN : 9781483260709
Genre : Mathematics
File Size : 48. 47 MB
Format : PDF, Docs
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Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.

Vector Tensor Analysis

Author :
ISBN : 9380599056
Genre :
File Size : 58. 95 MB
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Vector Analysis

Author : Ghosh & Maity
ISBN : 817381113X
Genre :
File Size : 57. 85 MB
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In this book the notion of a Vector has been approached from two points of view - Geometric and Algebraic. The relationship between the two has also been established.

Vector Analysis Versus Vector Calculus

Author : Antonio Galbis
ISBN : 9781461422006
Genre : Mathematics
File Size : 69. 97 MB
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The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.

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