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26.12.2020, adminVector Calculus. Paul C. Vector calculus bokks 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 foogle 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 vector calculus google books free chapters introduces a new topic, and to facilitate understanding of the material, frequent caoculus is made to physical applications. The physical nature of the subject is clarified with vector calculus google books free 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 fre, 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 vector calculus google books free earlier sections and chapters. Line Surface and Volume Integrals.
Gradient Divergence and Curl Suffix Notation and its Applications. Integral Theorems. Curvilinear Coordinates. Cartesian Tensors. Applications of Vcetor Calculus. Vector Calculus Paul C. Vector Algebra.
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