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Titlebook: Vector Calculus; Paul C. Matthews Textbook 1998 Springer-Verlag London 1998 Vector calculus.algebra.applied mathematics.calculus.dynamics.

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书目名称Vector Calculus
编辑Paul C. Matthews
视频video
概述Paul Matthews is a young writer with an excellent research record and teaching experience at both MIT and Nottingham - Up to date and of relevance to today‘s students - Full use is made of the elegant
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Vector Calculus;  Paul C. Matthews Textbook 1998 Springer-Verlag London 1998 Vector calculus.algebra.applied mathematics.calculus.dynamics.
描述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 o
出版日期Textbook 1998
关键词Vector calculus; algebra; applied mathematics; calculus; dynamics; mathematics; mechanics
版次1
doihttps://doi.org/10.1007/978-1-4471-0597-8
isbn_softcover978-3-540-76180-8
isbn_ebook978-1-4471-0597-8Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 1998
The information of publication is updating

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Line, Surface and Volume Integrals,icated types of integration, however, it is useful to review the concept of integration and some standard techniques for evaluating integrals. It is important that the reader is familiar with these methods, since this will be assumed in the following sections.
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Curvilinear Coordinates,to use. Consider, for example, the problem of finding the electric field produced by a charged sphere. In this chapter the general theory of non-Cartesian coordinate systems is introduced. Formulae for grad, div and curl in these coordinate systems are developed and the two most important examples,
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Cartesian Tensors, precise mathematical statement is developed, using the idea that the physical quantity exists independently of any coordinate system that may be used. This new mathematical definition of vectors and scalars is generalised to define a wider class of objects known as tensors. Throughout this chapter
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Applications of Vector Calculus, is the subject of numerous books and a great deal of current research, so it is not possible to go into any detail in this book. However, a number of important governing equations and results can be obtained using the methods described in the previous chapters. In particular, it will be seen that t
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