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**eBook Download** **BOOK 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.

## Product Details :

**Genre** | : Mathematics |

**Author** | : Paul C. Matthews |

**Publisher** | : Springer Science & Business Media |

**Release** | : 2012-12-06 |

**File** | : 182 Pages |

**ISBN-13** | : 9781447105978 |

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**eBook Download** **BOOK EXCERPT:**## Product Details :

**Genre** | : |

**Author** | : J N Sharma |

**Publisher** | : Krishna Prakashan Media |

**Release** | : |

**File** | : Pages |

**ISBN-13** | : |

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**eBook Download** **BOOK EXCERPT:**## Product Details :

**Genre** | : Calculus |

**Author** | : Jerrold E. Marsden |

**Publisher** | : Krishna Prakashan Media |

**Release** | : 1976 |

**File** | : 449 Pages |

**ISBN-13** | : |

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**eBook Download** **BOOK EXCERPT:**Contents: Differentiation and Integration of Vectors, Multiple Vectors, Gradient, Divergence and Curl, Green s Gauss s and Stoke s Theorem.

## Product Details :

**Genre** | : Vector analysis |

**Author** | : Anil Kumar Sharma |

**Publisher** | : Discovery Publishing House |

**Release** | : 2010 |

**File** | : 306 Pages |

**ISBN-13** | : 8183560946 |

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**eBook Download** **BOOK 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.

## Product Details :

**Genre** | : Mathematics |

**Author** | : William Cox |

**Publisher** | : Butterworth-Heinemann |

**Release** | : 1998-05-01 |

**File** | : 256 Pages |

**ISBN-13** | : 9780080572956 |

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**eBook Download** **BOOK EXCERPT:**A traditional and accessible calculus book with a strong conceptual and geometric slant that assumes a background in single-variable calculus. It uses the language and notation of vectors and matrices to clarify issues in multivariable calculus, and combines a clear and expansive writing style with an interesting selection of material. Chapter topics cover vectors, differentiation in several variables, vector-valued functions, maxima and minima in several variables, multiple integration, line integrals, surface integrals and vector analysis, and vector analysis in higher dimensions. For individuals interested in math and calculus.

## Product Details :

**Genre** | : Mathematics |

**Author** | : Susan Jane Colley |

**Publisher** | : |

**Release** | : 2002 |

**File** | : 558 Pages |

**ISBN-13** | : UCSD:31822037136280 |

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**eBook Download** **BOOK EXCERPT:**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.

## Product Details :

**Genre** | : Mathematics |

**Author** | : Thomas H. Barr |

**Publisher** | : Pearson College Division |

**Release** | : 2001 |

**File** | : 458 Pages |

**ISBN-13** | : UOM:39076002790488 |

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**eBook Download** **BOOK EXCERPT:**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.

## Product Details :

**Genre** | : Mathematics |

**Author** | : P. R. Baxandall |

**Publisher** | : |

**Release** | : 2008-07 |

**File** | : 550 Pages |

**ISBN-13** | : 0486466205 |

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**eBook Download** **BOOK EXCERPT:**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.

## Product Details :

**Genre** | : Mathematics |

**Author** | : Alice Gorguis |

**Publisher** | : Xlibris Corporation |

**Release** | : 2013-07-31 |

**File** | : 120 Pages |

**ISBN-13** | : 9781483672588 |

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**eBook Download** **BOOK EXCERPT:**## Product Details :

**Genre** | : |

**Author** | : A. R. Vasishtha |

**Publisher** | : Krishna Prakashan Media |

**Release** | : |

**File** | : Pages |

**ISBN-13** | : 9788182835375 |

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