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Vector Calculus

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Vector Calculus

Vector Calculus Book
Author : Paul C. Matthews
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1447105974
Language : En, Es, Fr & De

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Book Description :

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.

Vector Calculus

Vector Calculus Book
Author : Paul C. Matthews
Publisher : Springer Science & Business Media
Release : 2000-01-14
ISBN : 9783540761808
Language : En, Es, Fr & De

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Book Description :

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.

Vector Calculus in Regional Development Analysis

Vector Calculus in Regional Development Analysis Book
Author : Kesra Nermend
Publisher : Springer Science & Business Media
Release : 2009-04-29
ISBN : 9783790821796
Language : En, Es, Fr & De

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Book Description :

Methods used for regional development analysis are employed mainly to make forecasts and comparisons. Forecasting models of various types (e.g. econometric models) are usually used for forecasting. Recently, vector-autoregressive models (VAR) have become popular. These models were proposed by Sims in 1980. On the contrary, taxonomic methods (that are in the center of attention as far as the present publication is concerned) are most often employed to make comparisons. Linear ordering methods, including standard methods, are the most popular among ta- nomic methods. They are based on different distance and similarity measures, which leads to the fact that they do not always provide reliable information. When, for example, one construes the standard for a base year and then compares it with data for other years, it may turn out that the measure determined will have worse values than the standard for a real object (region, micro region) although this object is better from the standard. Hence, one must look for new methods employed in regional development analysis or improve hitherto existing ones in such a way so that information obtained re?ects the reality to a larger extent. The main aim of the present publication is to work out methodological basis for regional development analysis based on vector calculus together with assumptions about computer system supporting the implementation of the method suggested.

Complex Analysis with Vector Calculus

Complex Analysis with Vector Calculus Book
Author : T. M. J. A. Cooray
Publisher : Alpha Science Int'l Ltd.
Release : 2006
ISBN : 9781842653609
Language : En, Es, Fr & De

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Book Description :

Based on many years of experience of the author Complex Analysis with Vector Calculus provides clear and condensed treatment of the subject. It is primarily intended to be used by undergraduate students of engineering and science as a part of a course in engineering mathematics, where they are introduced to complex variable theory, through conceptual development of analysis. The book also introduces vector algebra, step by step, with due emphasis on various operations on vector field and scalar fields. Especially, it introduces proof of vector identities by use of a new approach and includes many examples to clarify the ideas and familiarize students with various techniques of problem solving.

Vector Calculus

Vector Calculus Book
Author : W. Cox
Publisher : Butterworth-Heinemann
Release : 1998-05-15
ISBN : 0340677414
Language : En, Es, Fr & De

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Book Description :

Written for second semester options, Vector Calculus introduces the student to some of the key techniques used by mathematicians, and includes historical contexts, real-life situations and links with other areas of mathematics.

Understanding Vector Calculus

Understanding Vector Calculus Book
Author : Jerrold Franklin
Publisher : Courier Dover Publications
Release : 2021-01-13
ISBN : 048684885X
Language : En, Es, Fr & De

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Book Description :

This concise text is a workbook for using vector calculus in practical calculations and derivations. Part One briefly develops vector calculus from the beginning; Part Two consists of answered problems. 2020 edition.

Elementary Vector Calculus and Its Applications with MATLAB Programming

Elementary Vector Calculus and Its Applications with MATLAB Programming Book
Author : Nita H. Shah,Jitendra Panchal
Publisher : CRC Press
Release : 2023-01-31
ISBN : 1000824233
Language : En, Es, Fr & De

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Book Description :

Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets around the sun, and the motion of the moon around the earth. Vector calculus is a fundamental scientific tool that allows us to investigate the origins and evolution of space and time, as well as the origins of gravity, electromagnetism, and nuclear forces. Vector calculus is an essential language of mathematical physics, and plays a vital role in differential geometry and studies related to partial differential equations widely used in physics, engineering, fluid flow, electromagnetic fields, and other disciplines. Vector calculus represents physical quantities in two or three-dimensional space, as well as the variations in these quantities. The machinery of differential geometry, of which vector calculus is a subset, is used to understand most of the analytic results in a more general form. Many topics in the physical sciences can be mathematically studied using vector calculus techniques. This book is designed under the assumption that the readers have no prior knowledge of vector calculus. It begins with an introduction to vectors and scalars, and also covers scalar and vector products, vector differentiation and integrals, Gauss's theorem, Stokes's theorem, and Green's theorem. The MATLAB programming is given in the last chapter. This book includes many illustrations, solved examples, practice examples, and multiple-choice questions.

Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding

Basic Insights In Vector Calculus  With A Supplement On Mathematical Understanding Book
Author : Zine Boudhraa,Sanjay Rai,Terrance J Quinn
Publisher : World Scientific
Release : 2020-07-24
ISBN : 9811222584
Language : En, Es, Fr & De

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Book Description :

Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.

Vector Analysis Versus Vector Calculus

Vector Analysis Versus Vector Calculus Book
Author : Antonio Galbis,Manuel Maestre
Publisher : Springer Science & Business Media
Release : 2012-03-29
ISBN : 1461422000
Language : En, Es, Fr & De

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Book Description :

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.

Vector Calculus

Vector Calculus Book
Author : Miroslav Lovric
Publisher : John Wiley & Sons
Release : 2007-01-03
ISBN : 0471725692
Language : En, Es, Fr & De

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Book Description :

This book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. Particular attention has been given to the material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.

Vector Calculus

Vector Calculus Book
Author : William Cox
Publisher : Butterworth-Heinemann
Release : 1998-05-01
ISBN : 0080572952
Language : En, Es, Fr & De

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Book Description :

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

Vector Algebra and Calculus

Vector Algebra and Calculus Book
Author : Hari Kishan
Publisher : Atlantic Publishers & Dist
Release : 2007-05-19
ISBN : 9788126908066
Language : En, Es, Fr & De

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Book Description :

The Present Book Aims At Providing A Detailed Account Of The Basic Concepts Of Vectors That Are Needed To Build A Strong Foundation For A Student Pursuing Career In Mathematics. These Concepts Include Addition And Multiplication Of Vectors By Scalars, Centroid, Vector Equations Of A Line And A Plane And Their Application In Geometry And Mechanics, Scalar And Vector Product Of Two Vectors, Differential And Integration Of Vectors, Differential Operators, Line Integrals, And Gauss S And Stoke S Theorems.It Is Primarily Designed For B.Sc And B.A. Courses, Elucidating All The Fundamental Concepts In A Manner That Leaves No Scope For Illusion Or Confusion. The Numerous High-Graded Solved Examples Provided In The Book Have Been Mainly Taken From The Authoritative Textbooks And Question Papers Of Various University And Competitive Examinations Which Will Facilitate Easy Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, These Examples Will Acquaint The Readers With The Type Of Questions Usually Set At The Examinations. Furthermore, Practice Exercises Of Multiple Varieties Have Also Been Given, Believing That They Will Help In Quick Revision And In Gaining Confidence In The Understanding Of The Subject. Answers To These Questions Have Been Verified Thoroughly. It Is Hoped That A Thorough Study Of This Book Would Enable The Students Of Mathematics To Secure High Marks In The Examinations. Besides Students, The Teachers Of The Subject Would Also Find It Useful In Elucidating Concepts To The Students By Following A Number Of Possible Tracks Suggested In The Book.

Student Solution Manual to Accompany the 4th Edition of Vector Calculus Linear Algebra and Differential Forms a Unified Approach

Student Solution Manual to Accompany the 4th Edition of Vector Calculus  Linear Algebra  and Differential Forms  a Unified Approach Book
Author : John Hamal Hubbard,Barbara Burke Hubbard
Publisher : Unknown
Release : 2009
ISBN : 9780971576674
Language : En, Es, Fr & De

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Book Description :

Download Student Solution Manual to Accompany the 4th Edition of Vector Calculus Linear Algebra and Differential Forms a Unified Approach book written by John Hamal Hubbard,Barbara Burke Hubbard, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Multivariable and Vector Calculus for Engineers and Scientists

Multivariable and Vector Calculus for Engineers and Scientists Book
Author : Sarhan M. Musa
Publisher : Unknown
Release : 2018-09-30
ISBN : 9781683922391
Language : En, Es, Fr & De

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Book Description :

Designed for undergraduates in mathematics, engineering, the physical sciences and for practicing engineers, the book focuses on practical applications of engineering and science used in industry. It first presents the theoretical concepts followed by practical applications of vector calculus, differentiation, and integration. MATLAB examples with source code appear on the companion files. Features: * Includes numerous computer illustrations and tutorials using * Covers the major topics of vector geometry, differentiation, and integration in several variables

Elementary Multivariable Calculus

Elementary Multivariable Calculus Book
Author : Bernard Kolman,William F. Trench
Publisher : Unknown
Release : 1971
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Elementary Multivariable Calculus book written by Bernard Kolman,William F. Trench, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Vector Calculus

Vector Calculus Book
Author : P. R. Baxandall,Hans Liebeck
Publisher : Unknown
Release : 2008-07
ISBN : 9780486466200
Language : En, Es, Fr & De

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Book Description :

This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.

Vector Calculus

Vector Calculus Book
Author : Anonim
Publisher : Unknown
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Vector Calculus book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Multivariable and Vector Calculus

Multivariable and Vector Calculus Book
Author : David A. Santos,Sarhan M. Musa
Publisher : Mercury Learning and Information
Release : 2015-07-30
ISBN : 1942270259
Language : En, Es, Fr & De

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Book Description :

This book is designed primarily for undergraduates in mathematics, engineering, and the physical sciences. Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. It also provides numerous computer illustrations and tutorials using MATLAB® and Maple®, that bridge the gap between analysis and computation. Features: •Includes numerous computer illustrations and tutorials using MATLAB® and Maple® •Covers the major topics of vector geometry, differentiation, and integration in several variables •Instructors’ ancillaries available upon adoption

Text Book of Vector Calculus

Text Book of Vector Calculus Book
Author : Anil Kumar Sharma
Publisher : Discovery Publishing House
Release : 2010
ISBN : 9788183560948
Language : En, Es, Fr & De

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Book Description :

Contents: Differentiation and Integration of Vectors, Multiple Vectors, Gradient, Divergence and Curl, Green s Gauss s and Stoke s Theorem.

Vector Calculus

Vector Calculus Book
Author : James Byrnie Shaw
Publisher : Unknown
Release : 1922
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Vector Calculus book written by James Byrnie Shaw, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.