Concise Vector Analysis

Author : C. J. Eliezer
Publisher : Courier Dover Publications
Page : 160 pages
File Size : 43,6 Mb
Release : 2016-01-14
Category : Mathematics
ISBN : 9780486809236

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Concise Vector Analysis by C. J. Eliezer Pdf

This concise introduction to the methods and techniques of vector analysis is suitable for college undergraduates in mathematics as well as students of physics and engineering. Rich in exercises and examples, the straightforward presentation focuses on physical ideas rather than mathematical rigor. The treatment begins with a chapter on vectors and vector addition, followed by a chapter on products of vector. Two succeeding chapters on vector calculus cover a variety of topics, including functions of a vector; line, surface, and volume integrals; the Laplacian operator, and more. The text concludes with a survey of standard applications, including Poinsot's central axis, Gauss's theorem, gravitational potential, Green's theorems, and other subjects.

Author : CHRISTIE J. ELIEZER
Publisher : Unknown
Page : 153 pages
File Size : 42,6 Mb
Release : 1963
Category : Electronic
ISBN : OCLC:1106674691

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CONCISE VECTOR ANALYSIS by CHRISTIE J. ELIEZER Pdf

Author : Louis Brand
Publisher : Courier Corporation
Page : 306 pages
File Size : 42,7 Mb
Release : 2012-06-22
Category : Mathematics
ISBN : 9780486154848

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Vector Analysis by Louis Brand Pdf

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.

Author : Josiah Willard Gibbs
Publisher : Unknown
Page : 90 pages
File Size : 42,6 Mb
Release : 1884
Category : Vector analysis
ISBN : PSU:000003358184

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Elements of Vector Analysis by Josiah Willard Gibbs Pdf

Author : C. E. Springer
Publisher : Courier Corporation
Page : 256 pages
File Size : 42,5 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9780486320915

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Tensor and Vector Analysis by C. E. Springer Pdf

Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.

Author : A. I. Borisenko,I. E. Tarapov
Publisher : Courier Corporation
Page : 288 pages
File Size : 54,7 Mb
Release : 2012-08-28
Category : Mathematics
ISBN : 9780486131900

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Vector and Tensor Analysis with Applications by A. I. Borisenko,I. E. Tarapov Pdf

Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.

Author : R. K. Pandey
Publisher : Discovery Publishing House
Page : 192 pages
File Size : 41,6 Mb
Release : 2007
Category : Developmental biology
ISBN : 8183562973

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Vector Analysis by R. K. Pandey Pdf

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.

Author : Stanley J. Miklavcic
Publisher : Springer Nature
Page : 319 pages
File Size : 53,8 Mb
Release : 2020-02-17
Category : Mathematics
ISBN : 9783030334598

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An Illustrative Guide to Multivariable and Vector Calculus by Stanley J. Miklavcic Pdf

This textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization. With over one hundred carefully drawn color images, students who have long struggled picturing, for example, level sets or vector fields will find these abstract concepts rendered with clarity and ingenuity. This illustrative approach to the material covered in standard multivariable and vector calculus textbooks will serve as a much-needed and highly useful companion. Emphasizing portability, this book is an ideal complement to other references in the area. It begins by exploring preliminary ideas such as vector algebra, sets, and coordinate systems, before moving into the core areas of multivariable differentiation and integration, and vector calculus. Sections on the chain rule for second derivatives, implicit functions, PDEs, and the method of least squares offer additional depth; ample illustrations are woven throughout. Mastery Checks engage students in material on the spot, while longer exercise sets at the end of each chapter reinforce techniques. An Illustrative Guide to Multivariable and Vector Calculus will appeal to multivariable and vector calculus students and instructors around the world who seek an accessible, visual approach to this subject. Higher-level students, called upon to apply these concepts across science and engineering, will also find this a valuable and concise resource.

Author : Paul C. Matthews
Publisher : Springer Science & Business Media
Page : 189 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447105978

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Vector Calculus by Paul C. Matthews Pdf

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

Author : Dwight E. Neuenschwander
Publisher : JHU Press
Page : 244 pages
File Size : 51,9 Mb
Release : 2015
Category : Mathematics
ISBN : 9781421415642

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Tensor Calculus for Physics by Dwight E. Neuenschwander Pdf

It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

Author : D. E. Bourne,P. C. Kendall
Publisher : Academic Press
Page : 266 pages
File Size : 46,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483260709

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Vector Analysis and Cartesian Tensors by D. E. Bourne,P. C. Kendall Pdf

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.

Author : Matiur Rahman,Issac Mulolani
Publisher : CRC Press
Page : 386 pages
File Size : 50,8 Mb
Release : 2008
Category : Mathematics
ISBN : UCSC:32106019005823

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Applied Vector Analysis, Second Edition by Matiur Rahman,Issac Mulolani Pdf

In engineering and applied science, the practical problems that arise are often described using mathematical models. In order to interpret these figures and make a judicious decision relating to such problems, engineers and scientists need ample knowledge of vector analysis. Illustrating the application of vector analysis to physical problems, this new edition of Applied Vector Analysis expands its coverage of the field to encompass new concepts, such as the divergence theorem, position vectors, and Berouilli's equation. It provides the grounding in vector analysis engineers and scientists require with an emphasis on practical applications This user-friendly volume is divided into seven chapters, each providing a clear manifestation of theory and its application to real-life problems. Beginning with a brief historical background of vector calculus, the authors introduce the algebra of vectors using a single variable. Within this framework, the book goes on to discuss the Del operator, which plays a significant role in displaying physical problems in mathematical notation. Chapter 6 contains important integral theorems, such as Green's theorem, Stokes theorem, and divergence theorem. Specific applications of these theorems are described using selected examples in fluid flow, electromagnetic theory, and the Poynting vector in Chapter 7. The appendices supply important vector formulas at a glance and mathematical explanations to selected examples from within the text. One of the most valuable branches of mathematics, vector analysis is pertinent to the investigation of physical problems encountered in many disciplines. Using real-world applications, concise explanations of fundamental concepts, and extensive examples, Applied Vector Analysis, Second Edition provides a clear cut exposition of the fields' practical uses.

Author : Springer
Publisher : Unknown
Page : 392 pages
File Size : 50,8 Mb
Release : 2012-03-30
Category : Electronic
ISBN : 1461422019

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Vector Analysis Versus Vector Calculus by Springer Pdf

Author : Antonio Galbis,Manuel Maestre
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 55,6 Mb
Release : 2012-03-29
Category : Mathematics
ISBN : 9781461422006

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Vector Analysis Versus Vector Calculus by Antonio Galbis,Manuel Maestre Pdf

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.

Author : David Smith
Publisher : Independently Published
Page : 154 pages
File Size : 46,5 Mb
Release : 2021-07-24
Category : Electronic
ISBN : 9798541433982

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Vector Analysis from Scratch by David Smith Pdf

Vector analysis is a very useful and a powerful tool for physicists and engineers alike. It has applications in multiple fields. Although it is not a particularly difficult subject to learn, students often lack a proper understanding of the concepts on a deeper level. This restricts its usage to a mere mathematical tool.That's where this book hope to be different. We don't want this subject to be treated just as a mathematical tool. We hope to go beyond it. Therefore, the emphasis is to provide physical interpretation to the various concepts in the subject with the help of illustrative figures and intuitive reasoning. Having said that, we have given adequate importance to the mathematical aspect of the subject as well. 100+ solved examples given in the book will give the reader a definite edge when it comes to problem solving.For beginners this book will provide a concise introduction to the world of vectors in a unique way. The various concepts of the subject are arranged logically and explained in a simple reader-friendly language, so that they can learn with minimum effort in quick time. For experts, this book will a great refresher.The first 2 chapters focus on the basics of vectors. In chapters 3 to 5 we dig into vector calculus. Chapter 6 is all about vectors in different coordinate systems and finally chapter 7 focuses on the applications of vectors in various fields like engineering mechanics, electromagnetism, fluid mechanics etc.