Vector Calculus
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A Textbook Of Vector Calculus
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Author : SHANTI NARAYAN
language : en
Publisher: S. Chand Publishing
Release Date : 2003
A Textbook Of Vector Calculus written by SHANTI NARAYAN and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
A TEXTBOOK OF VECTOR CALCULUS
Vector Analysis Versus Vector Calculus
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Author : Antonio Galbis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-29
Vector Analysis Versus Vector Calculus written by Antonio Galbis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-29 with Mathematics categories.
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
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Author : Alice Gorguis
language : en
Publisher: Xlibris Corporation
Release Date : 2013-07-31
Vector Calculus written by Alice Gorguis and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-31 with Mathematics categories.
This text is intended for a one-semester course in the Calculus of functions of several variables and vector analysis taught at college level. This course is, normally known as , vector calculus, or multi variable calculus, or simply calculus-III. The course usually is preceded by a beginning course in linear algebra. The prerequisite for this course is the knowledge of the fundamen- tal of one-variable calculus, differentiation and integration of the standard functions. The text includes most of the basic theories as well as many related examples and problems. There are many exercises throughout the text, which in my experience are more than enough for a semester course in this subject. I include enough examples for each topics in each section to illustrate and help the student to practice his/her skills. Also, added problems that ask the student to reflect on and explore in his/her own words some of the important ideas of Vector Calculus. I have included material enough to be covered during a simple semester with- out a hassle, and it should be possible to work through the entire book with reasonable care. Most of the exercises are relatively routine computations to moderate and productive problems, to help the students understand the concept of each topic. Each section in a chapter is concluded with a set of exercises that review and extend the ideas that was introduced in the chapter, or section. Computer softwares were not included in this book. Most of the exercises can be solved easily by hand, but I advise the students to use Mathematica, or Maple to graph the functions in each problem to visualize the problem, and understand it better. Some of the homework might require the use of Mathematica.
Differential Equations And Vector Calculus
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Author : Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad
language : en
Publisher: S. Chand Publishing
Release Date :
Differential Equations And Vector Calculus written by Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
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 Calculus
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Author : Paul C. Matthews
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Vector Calculus written by Paul C. Matthews and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Text Book Of Vector Calculus
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Author : Anil Kumar Sharma
language : en
Publisher: Discovery Publishing House
Release Date : 2010
Text Book Of Vector Calculus written by Anil Kumar Sharma and has been published by Discovery Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Vector analysis categories.
Contents: Differentiation and Integration of Vectors, Multiple Vectors, Gradient, Divergence and Curl, Green s Gauss s and Stoke s Theorem.
Vector Calculus
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Author : William Cox
language : en
Publisher: Butterworth-Heinemann
Release Date : 1998-05-01
Vector Calculus written by William Cox and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-01 with Mathematics categories.
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.
Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding
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Author : Terrance J Quinn
language : en
Publisher: World Scientific
Release Date : 2020-07-24
Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding written by Terrance J Quinn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Mathematics categories.
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.
Multivariable And Vector Calculus
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Author : Joseph D. Fehribach
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-02-10
Multivariable And Vector Calculus written by Joseph D. Fehribach and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-10 with Mathematics categories.
This carefully-designed book covers multivariable and vector calculus, and is appropriate either as a text of a one-semester course, or for self-study. It includes many worked-through exercises, with answers to many of the basic computational ones and hints to many of those that are more involved, as well as lots of diagrams which illustrate the various theoretical concepts.
Vector Calculus
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Author : Durgaprasanna Bhattacharyya
language : en
Publisher:
Release Date : 1920
Vector Calculus written by Durgaprasanna Bhattacharyya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1920 with Vector analysis categories.