Vector Calculus Book

Vector Calculus


  • Author : Paul C. Matthews
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 182
  • ISBN 10 : 9781447105978

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Vector Calculus Excerpt :

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.

Understanding Vector Calculus Book

Understanding Vector Calculus


  • Author : Jerrold Franklin
  • Publisher : Courier Dover Publications
  • Release Date : 2021-01-13
  • Genre: Mathematics
  • Pages : 112
  • ISBN 10 : 9780486848853

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Understanding Vector Calculus Excerpt :

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 Book

Vector Calculus


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2008
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : OCLC:1125920482

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Vector Calculus Excerpt :

Vector Calculus Book
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Vector Calculus


  • Author : Paul C. Matthews
  • Publisher : Springer Science & Business Media
  • Release Date : 2000-01-14
  • Genre: Mathematics
  • Pages : 196
  • ISBN 10 : 3540761802

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Vector Calculus Excerpt :

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 Book

Vector Calculus in Regional Development Analysis


  • Author : Kesra Nermend
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-04-29
  • Genre: Business & Economics
  • Pages : 174
  • ISBN 10 : 3790821799

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Vector Calculus in Regional Development Analysis Excerpt :

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 Book
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Complex Analysis with Vector Calculus


  • Author : T. M. J. A. Cooray
  • Publisher : Alpha Science Int'l Ltd.
  • Release Date : 2006
  • Genre: Mathematics
  • Pages : 378
  • ISBN 10 : 1842653601

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Complex Analysis with Vector Calculus Excerpt :

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 Book

Vector Calculus


  • Author : W. Cox
  • Publisher : Butterworth-Heinemann
  • Release Date : 1998-05-15
  • Genre: Mathematics
  • Pages : 257
  • ISBN 10 : 9780340677414

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Vector Calculus Excerpt :

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.

Multivariable and Vector Calculus Book

Multivariable and Vector Calculus


  • Author : David A. Santos
  • Publisher : Mercury Learning and Information
  • Release Date : 2015-07-30
  • Genre: Mathematics
  • Pages : 450
  • ISBN 10 : 9781942270256

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Multivariable and Vector Calculus Excerpt :

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

Basic Insights In Vector Calculus  With A Supplement On Mathematical Understanding Book

Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding


  • Author : Zine Boudhraa
  • Publisher : World Scientific
  • Release Date : 2020-07-24
  • Genre: Mathematics
  • Pages : 252
  • ISBN 10 : 9789811222580

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Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding Excerpt :

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 Calculus Using Mathematica Second Edition Book

Vector Calculus Using Mathematica Second Edition


  • Author : Steven Tan
  • Publisher : Steven Tan
  • Release Date : 2020-07-11
  • Genre: Mathematics
  • Pages : 582
  • ISBN 10 : 978186723xxxx

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Vector Calculus Using Mathematica Second Edition Excerpt :

An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to “speak the language.” All these examples and all illustrations can be replicated and used to learn and discover vector calculus in a new and exciting way. Reader can practice with the solutions, and then modify them to solve the particular problems assigned. This should move up problem solving skills and to use Mathematica® to visualize the results and to develop a deeper intuitive understanding. Usually, visualization provides much more insight than the formulas themselves. The second edition is an addition of the first. Two new chapters on line integrals, Green's Theorem, Stokes's Theorem and Gauss's Theorem have been added.

An Illustrative Guide to Multivariable and Vector Calculus Book

An Illustrative Guide to Multivariable and Vector Calculus


  • Author : Stanley J. Miklavcic
  • Publisher : Springer Nature
  • Release Date : 2020-02-17
  • Genre: Mathematics
  • Pages : 309
  • ISBN 10 : 9783030334598

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An Illustrative Guide to Multivariable and Vector Calculus Excerpt :

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.

Vector Algebra and Calculus Book
Score: 5
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Vector Algebra and Calculus


  • Author : Hari Kishan
  • Publisher : Atlantic Publishers & Dist
  • Release Date : 2007-05-19
  • Genre: Calculus
  • Pages : 452
  • ISBN 10 : 8126908068

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Vector Algebra and Calculus Excerpt :

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.

Vector Analysis Versus Vector Calculus Book

Vector Analysis Versus Vector Calculus


  • Author : Antonio Galbis
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-03-29
  • Genre: Mathematics
  • Pages : 375
  • ISBN 10 : 9781461422006

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Vector Analysis Versus Vector Calculus Excerpt :

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 Book

Vector Calculus


  • Author : William Cox
  • Publisher : Butterworth-Heinemann
  • Release Date : 1998-05-01
  • Genre: Mathematics
  • Pages : 256
  • ISBN 10 : 9780080572956

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Vector Calculus Excerpt :

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.