Vector Calculus

Author: Paul C. Matthews

Publisher: Springer Science & Business Media

ISBN: 1447105974

Category: Mathematics

Page: 182

View: 6982

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

Author: Paul C. Matthews

Publisher: Springer Science & Business Media

ISBN: 9783540761808

Category: Mathematics

Page: 182

View: 4156

Vector calculus is the foundation stone on which a vast amount of mathematical physics is based (for example, fluid dynamics, solid mechanics and general relativity all involve a description of vector and scalar quantities in three dimensions) so it is important that students have a thorough grasp of it before moving on to more advanced areas of mathematics. Most books are aimed at engineering applications: this book focuses on the underlying mathematical structure of the subject and is aimed at first and second year undergraduate mathematic students.

Vector Calculus

Author: J N Sharma

Publisher: Krishna Prakashan Media

ISBN: N.A

Category:

Page: N.A

View: 736

Vector Calculus

Author: Miroslav Lovric

Publisher: Wiley

ISBN: 0471725692

Category: Mathematics

Page: 640

View: 6207

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

Author: Jerrold E. Marsden

Publisher: Macmillan Higher Education

ISBN: 1464119414

Category: Mathematics

Page: 752

View: 7846

This bestselling vector calculus text helps students gain a solid, intuitive understanding of this important subject. The book's careful contemporary balance between theory, application, and historical development, provides readers with insights into how mathematics progresses and is in turn influenced by the natural world. The new edition offers a contemporary design, an increased number of practice exercises, and content changes based on reviewer feedback, giving this classic text a modern appeal.

Vector Calculus

Author: Bill Cox,W. Cox

Publisher: Butterworth-Heinemann

ISBN: 0340677414

Category: Computers

Page: 244

View: 7487

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.

Text Book Of Vector Calculus

Author: Anil Kumar Sharma

Publisher: Discovery Publishing House

ISBN: 9788183560948

Category:

Page: 306

View: 1627

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

Vector calculus

Author: Frederick Warren Bedford,Tryambakeshwar D. Dwivedi

Publisher: McGraw-Hill Companies

ISBN: N.A

Category: Mathematics

Page: 528

View: 3254

Vector Analysis Versus Vector Calculus

Author: Antonio Galbis,Manuel Maestre

Publisher: Springer Science & Business Media

ISBN: 1461422000

Category: Mathematics

Page: 375

View: 3985

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

Author: Thomas H. Barr

Publisher: Pearson College Div

ISBN: N.A

Category: Mathematics

Page: 458

View: 2719

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. Chapter topics include coordinate and vector geometry, differentiation, applications of differentiation, integration, and fundamental theorems. For those with knowledge of introductory calculus in a wide range of disciplines including—but not limited to—mathematics, engineering, physics, chemistry, and economics.

Vector Calculus

Author: Susan Jane Colley

Publisher: Pearson College Division

ISBN: 9780321780652

Category: Mathematics

Page: 603

View: 9173

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

Author: Durgaprasanna Bhattacharyya

Publisher: N.A

ISBN: N.A

Category: Vector analysis

Page: 90

View: 7121

Vector Calculus, with Applications to Physics

Author: James Byrnie Shaw

Publisher: Sagwan Press

ISBN: 9781376763232

Category: History

Page: 332

View: 7553

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Vector Calculus

For College Students

Author: Alice Gorguis

Publisher: Xlibris Corporation

ISBN: 1483672581

Category: Mathematics

Page: 120

View: 7714

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.

Vector Calculus

(Theory & Solved Examples)

Author: M. D. PETALE

Publisher: MANGESH DEVIDASRAO PETALE

ISBN: N.A

Category:

Page: 162

View: 427

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.