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Vector Calculus

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Vector Calculus

Vector Calculus Book
Author : Miroslav Lovric
Publisher : Wiley
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 : Susan Jane Colley
Publisher : Pearson College Division
Release : 2012
ISBN : 9780321780652
Language : En, Es, Fr & De

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Book Description :

Normal 0 false false false Vector Calculus, Fourth Edition, uses the language and notation of vectors and matrices to teach multivariable calculus. It is ideal for students with a solid background in single-variable calculus who are capable of thinking in more general terms about the topics in the course. This text is distinguished from others by its readable narrative, numerous figures, thoughtfully selected examples, and carefully crafted exercise sets. Colley includes not only basic and advanced exercises, but also mid-level exercises that form a necessary bridge between the two.

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 : Bill Cox,W. Cox
Publisher : Butterworth-Heinemann
Release : 1998
ISBN : 0340677414
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 Calculus

Vector Calculus Book
Author : Jerrold E. Marsden,Anthony Tromba
Publisher : W. H. Freeman
Release : 2011-12-16
ISBN : 9781429215084
Language : En, Es, Fr & De

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Book Description :

Download Vector Calculus book written by Jerrold E. Marsden,Anthony Tromba, 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 : Oxford University Press, USA
Release : 1986
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

An introduction to the differential and integral calculus of functions of several variables for students wanting more than a superficial account of the subject. Topics covered include inverse function theorem, the implicit function theorem, and the integration theorems of Green, Stokes, and Gauss.

Differential Equations and Vector Calculus

Differential Equations and Vector Calculus Book
Author : Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad
Publisher : S. Chand Publishing
Release : 2022-01-22
ISBN : 9352838262
Language : En, Es, Fr & De

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Book Description :

In this book, how to solve such type equations has been elaborately described. In this book, vector differential calculus is considered, which extends the basic concepts of (ordinary) differential calculus, such as, continuity and differentiability to vector functions in a simple and natural way. This book comprises previous question papers problems at appropriate places and also previous GATE questions at the end of each chapter for the

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.

Div Grad Curl and All that

Div  Grad  Curl  and All that Book
Author : Harry Moritz Schey
Publisher : W W Norton & Company Incorporated
Release : 2005
ISBN : 9780393925166
Language : En, Es, Fr & De

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Book Description :

This new fourth edition of the acclaimed and bestselling Div, Grad, Curl, and All That has been carefully revised and now includes updated notations and seven new example exercises.

Vector Calculus

Vector Calculus Book
Author : J N Sharma
Publisher : Krishna Prakashan Media
Release : 1976
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

Vector Calculus

Vector Calculus Book
Author : Durgaprasanna Bhattacharyya
Publisher : Lulu.com
Release : 1920
ISBN : 0359076416
Language : En, Es, Fr & De

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Book Description :

INTRODUCTION. In course of an attempt to apply direct vector methods to certain problems of Electricity and Hydrodynamics, it was felt that, at least as a matter of consistency, the foundations of Vector Analysis ought to be placed on a basis independent of any reference to cartesian coordinates and the main theorems of that Analysis established directly from first principles. embodied in the present paper and an attempt is made here to develop the Differential and Integral Calculus of Vectors from a point of view which is believed to be new. In order to realise the special features of my presentation of the subject, it will be convenient to recall briefly the usual method of treatment. In any vector problem we are given certain relations among a number of vectors and we have to deduce some other relations which these same vectors satisfy.

Vector Calculus

Vector Calculus Book
Author : Jerrold E. Marsden,Anthony Tromba
Publisher : Unknown
Release : 1996
ISBN : 9780716724322
Language : En, Es, Fr & De

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Book Description :

Intended for one-semester courses in the calculus of functions of several variables and vector analysis, Vector Calculus is widely used at the sophomore and junior level. Acclaimed authors Jerrold Marsden and Anthony Tromba help students foster computational skills and intuitive understanding with a careful balance of theory, applications, optional materials, and historical notes.

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.

Vector Calculus

Vector Calculus Book
Author : Thomas H. Barr
Publisher : Pearson College Division
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. Its organization draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in approach, it is written with an assumption that the student reader may have computing facilities for two- and three-dimensional graphics, and for doing symbolic algebra. KEY TOPICS: Chapter topics include coordinate and vector geometry, differentiation, applications of differentiation, integration, and fundamental theorems. MARKET: For those with knowledge of introductory calculus in a wide range of disciplines including--but not limited to--mathematics, engineering, physics, chemistry, and economics.

Understanding Vector Calculus

Understanding Vector Calculus Book
Author : Jerrold Franklin
Publisher : Courier Dover Publications
Release : 2020-02-12
ISBN : 0486835901
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.

Vector Calculus

Vector Calculus Book
Author : M. D. PETALE
Publisher : MANGESH DEVIDASRAO PETALE
Release : 2022-01-22
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Purpose of this Book The purpose of this book is to supply lots of examples with details solution that helps the students to understand each example step wise easily and get rid of the college assignments phobia. It is sincerely hoped that this book will help and better equipped the higher secondary students to prepare and face the examinations with better confidence. I have endeavored to present the book in a lucid manner which will be easier to understand by all the engineering students. About the Book According to many streams in engineering course there are different chapters in Engineering Mathematics of the same year according to the streams. Hence students faced problem about to buy Engineering Mathematics special book that covered all chapters in a single book. That’s reason student needs to buy many books to cover all chapters according to the prescribed syllabus. Hence need to spend more money for a single subject to cover complete syllabus. So here good news for you, your problem solved. I made here special books according to chapter wise, which helps to buy books according to chapters and no need to pay extra money for unneeded chapters that not mentioned in your syllabus. PREFACE It gives me great pleasure to present to you this book on A Textbook on “Vector Calculus” of Engineering Mathematics presented specially for you. Many books have been written on Engineering Mathematics by different authors and teachers, but majority of the students find it difficult to fully understand the examples in these books. Also, the Teachers have faced many problems due to paucity of time and classroom workload. Sometimes the college teacher is not able to help their own student in solving many difficult questions in the class even though they wish to do so. Keeping in mind the need of the students, the author was inspired to write a suitable text book providing solutions to various examples of “Vector Calculus” of Engineering Mathematics. It is hoped that this book will meet more than an adequately the needs of the students they are meant for. I have tried our level best to make this book error free.

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.

An Illustrative Guide to Multivariable and Vector Calculus

An Illustrative Guide to Multivariable and Vector Calculus Book
Author : Stanley J. Miklavcic
Publisher : Springer Nature
Release : 2020-02-17
ISBN : 3030334597
Language : En, Es, Fr & De

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Book Description :

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.

Multivariable and Vector Calculus

Multivariable and Vector Calculus Book
Author : David A. Santos,Sarhan M. Musa
Publisher : Stylus Publishing, LLC
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