December 23, 2017

Applications of Tensor Analysis (Dover Books on Mathematics) by A. J. McConnell PDF

By A. J. McConnell

This typical paintings applies tensorial tips on how to topics in the realm of complex university arithmetic. In its 4 major divisions, it explains the elemental rules and the notation of tensor idea; covers the geometrical therapy of tensor algebra; introduces the speculation of the differentiation of tensors; and applies arithmetic to dynamics, electrical energy, elasticity, and hydrodynamics.
Partial contents: algebraic preliminaries (notation, definitions, determinants, tensor analysis); algebraic geometry (rectilinear coordinates, the airplane, the directly line, the quadric cone and the conic, structures of cones and conics, primary quadrics, the final quadric, affine transformations); differential geometry (curvilinear coordinates, covariant differentiation, curves in an area, intrinsic geometry of a floor, primary formulae of a floor, curves on a surface); utilized arithmetic (dynamics of a debris, dynamics of inflexible our bodies, electrical energy and magnetism, mechanics of constant media, particular conception of relativity).

Show description

Read or Download Applications of Tensor Analysis (Dover Books on Mathematics) PDF

Similar calculus books

Download e-book for iPad: Statistical Methods for Fuzzy Data by Reinhard Viertl

Statistical facts are usually not consistently exact numbers, or vectors, or different types. actual info are often what's known as fuzzy. Examples the place this fuzziness is apparent are caliber of existence facts, environmental, organic, clinical, sociological and economics information. additionally the result of measurements should be most sensible defined by utilizing fuzzy numbers and fuzzy vectors respectively.

Read e-book online Handbook of Power Systems I (Energy Systems) PDF

Power is among the world`s so much demanding difficulties, and tool platforms are a tremendous point of power comparable concerns. This guide includes cutting-edge contributions on strength platforms modeling and optimization. The publication is separated into volumes with six sections, which hide crucial parts of strength structures.

Download e-book for kindle: An Introduction to Orthogonal Polynomials (Dover Books on by Theodore S Chihara

Assuming no additional necessities than a primary undergraduate direction in actual research, this concise creation covers normal straight forward conception relating to orthogonal polynomials. It comprises important historical past fabric of the sort now not frequently present in the traditional arithmetic curriculum. compatible for complex undergraduate and graduate classes, it's also acceptable for self sufficient learn.

Download PDF by Marvin E. Goldstein,Burt M. Rosenbaum: Introduction to Abstract Analysis (Dover Books on

Built from lectures brought at NASA's Lewis study middle, this concise textual content introduces scientists and engineers with backgrounds in utilized arithmetic to the strategies of summary research. instead of getting ready readers for examine within the box, this quantity deals history valuable for examining the literature of natural arithmetic.

Additional resources for Applications of Tensor Analysis (Dover Books on Mathematics)

Sample text

Download PDF sample

Applications of Tensor Analysis (Dover Books on Mathematics) by A. J. McConnell

by Michael

Rated 4.01 of 5 – based on 10 votes