Vector Analysis

A Physicist's Guide to the Mathematics of Fields in Three Dimensions

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Paperback | 21 March 1977

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272 Pages

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22.86 x 15.24 x 1.55

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Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics. The account of the subject is aimed principally at physicists but the presentation is equally appropriate for engineers. The justification for adding to the available textbooks on vector analysis stems from Professor Kemmer"s novel presentation of the subject developed through many years of teaching, and in relating the mathematics to physical models. While maintaining mathematical precision, the methodology of presentation relies greatly on the visual, geometric aspects of the subject and is supported throughout the text by many beautiful illustrations that are more than just schematic. A unification of the whole body of results developed in the book - from the simple ideas of differentiation and integration of vector fields to the theory of orthogonal curvilinear coordinates and to the treatment of time-dependent integrals over fields - is achieved by the introduction from the outset of a method of general parametrisation of curves and surfaces.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Science Physics Mathematical Physics

Introduction
Summary of vector algebra
The geometrical background to vector analysis
Metric properties of Euclidean space
Scalar and vector fields
Spatial integrals of fields
Further spatial integrals
Differentiation of fields
The gradient
Differentiation of fields
The curl
Differentiation of fields
The divergence
Generalisation of the three principal theorems and some remarks on notation
Boundary behaviour of fields
Differentiation and integration of products of fields
Second derivatives of vector fields elements of potential theory
Orthogonal curvilinear coordinates
Time-dependent fields
Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

Vector Analysis

A Physicist's Guide to the Mathematics of Fields in Three Dimensions

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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