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Author: Edwin Arthur Maxwell Publisher: ISBN: Category : Calculus of tensors Languages : en Pages : 220
Book Description
"The book seeks to combine a traditional course on three-dimensional coordinate geometry with the needs of the modern student. Vectors, as required in geometry, are fully discussed, and there is an account of tensors that goes into much greater detail than is customary at this level. The work on the general quadric aims to furnish also an introduction to some techniques of matrix algebra"--Jacket front flap.
Author: Edwin Arthur Maxwell Publisher: ISBN: Category : Calculus of tensors Languages : en Pages : 220
Book Description
"The book seeks to combine a traditional course on three-dimensional coordinate geometry with the needs of the modern student. Vectors, as required in geometry, are fully discussed, and there is an account of tensors that goes into much greater detail than is customary at this level. The work on the general quadric aims to furnish also an introduction to some techniques of matrix algebra"--Jacket front flap.
Author: Dwight E. Neuenschwander Publisher: JHU Press ISBN: 142141564X Category : Mathematics Languages : en Pages : 244
Book Description
It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"
Author: Tracy Y. Thomas Publisher: Elsevier ISBN: 1483263711 Category : Mathematics Languages : en Pages : 128
Book Description
Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.
Author: George E. Hay Publisher: Courier Corporation ISBN: 0486601099 Category : Mathematics Languages : en Pages : 210
Book Description
"Remarkably comprehensive, concise and clear." — Industrial Laboratories "Considered as a condensed text in the classical manner, the book can well be recommended." — Nature Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. More than 200 problems are included throughout the book.
Author: C. E. Springer Publisher: Courier Corporation ISBN: 048632091X Category : Mathematics Languages : en Pages : 258
Book Description
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
Author: Robert C. Wrede Publisher: Courier Corporation ISBN: 0486137112 Category : Mathematics Languages : en Pages : 436
Book Description
Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.
Author: Nils K. Oeijord Publisher: iUniverse ISBN: 059535694X Category : Algebras, Linear Languages : en Pages : 149
Book Description
Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of any particular coordinate system used in describing them. This requirement leads to tensor calculus. The only prerequisites for reading this book are a familiarity with calculus (including vector calculus) and linear algebra, and some knowledge of differential equations.
Author: Edwin Arthur Maxwell
Author: Edwin Arthur Maxwell
Author: Edwin Arthur Maxwell
Author: Dwight E. Neuenschwander
Author: Tracy Y. Thomas
Author: George E. Hay
Author: C. E. Springer
Author: Robert C. Wrede
Author: George Unwin
Author: Nils K. Oeijord
Author: E. A. Maxwell