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Author : Albert Joseph McConnell
Publisher : Unknown
Page : 342 pages
File Size : 48,6 Mb
Release : 1936
Category : Calculus of tensors
ISBN : UOM:39015000983356
Author : A. J. McConell
Publisher : Unknown
Page : 315 pages
File Size : 47,8 Mb
Release : 1947
Category : Electronic
ISBN : OCLC:927577935
Author : A.J.. McConnell
Publisher : Unknown
Page : 318 pages
File Size : 54,5 Mb
Release : 1951
Category : Calculus of tensors
ISBN : OCLC:10167191
Author : Tullio Levi-Civita
Publisher : Courier Corporation
Page : 482 pages
File Size : 52,5 Mb
Release : 1977-01-01
Category : Mathematics
ISBN : 9780486634012
Written by a towering figure of 20th-century mathematics, this classic examines the mathematical material necessary for a grasp of relativity theory. Levi-Civita's thorough treatment of introductory theories provides the basis for his discussions of fundamental quadratic forms and absolute differential calculus. Concluding chapters address physical applications. 1926 edition.
Author : Tullio Levi-Civita
Publisher : Unknown
Page : 476 pages
File Size : 48,7 Mb
Release : 1927
Category : Calculus of tensors
ISBN : UOM:39015066693899
Author : Tullio Levi-Civita
Publisher : Unknown
Page : 476 pages
File Size : 49,6 Mb
Release : 1926
Category : Calculus of tensors
ISBN : RUTGERS:39030014565651
Author : Tullio Levi-Civita,Marjorie Long
Publisher : Unknown
Page : 0 pages
File Size : 54,8 Mb
Release : 1954
Category : Electronic
ISBN : OCLC:852948005
Author : David Hilbert
Publisher : CUP Archive
Page : 698 pages
File Size : 44,6 Mb
Release : 1985
Category : Mathematical physics
ISBN : 8210379456XXX
Author : Michael J. Field
Publisher : Courier Corporation
Page : 336 pages
File Size : 41,5 Mb
Release : 2013-04-10
Category : Mathematics
ISBN : 9780486298849
Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition.
Author : Goldberg Vladislav V,Akivis Maks A
Publisher : World Scientific Publishing Company
Page : 380 pages
File Size : 52,9 Mb
Release : 2003-09-29
Category : Science
ISBN : 9789813102255
This textbook presents the foundations of tensor calculus and the elements of tensor analysis. In addition, the authors consider numerous applications of tensors to geometry, mechanics and physics.While developing tensor calculus, the authors emphasize its relationship with linear algebra. Necessary notions and theorems of linear algebra are introduced and proved in connection with the construction of the apparatus of tensor calculus; prior knowledge is not assumed. For simplicity and to enable the reader to visualize concepts more clearly, all exposition is conducted in three-dimensional space. The principal feature of the book is that the authors use mainly orthogonal tensors, since such tensors are important in applications to physics and engineering.With regard to applications, the authors construct the general theory of second-degree surfaces, study the inertia tensor as well as the stress and strain tensors, and consider some problems of crystallophysics. The last chapter introduces the elements of tensor analysis.All notions introduced in the book, and also the obtained results, are illustrated with numerous examples discussed in the text. Each section of the book presents problems (a total over 300 problems are given). Examples and problems are intended to illustrate, reinforce and deepen the presented material. There are answers to most of the problems, as well as hints and solutions to selected problems at the end of the book.
Author : J. L. Synge,A. Schild
Publisher : Courier Corporation
Page : 336 pages
File Size : 52,7 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486141398
Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
Author : Tullio Levi-Civita
Publisher : Courier Corporation
Page : 452 pages
File Size : 50,8 Mb
Release : 2013-07-24
Category : Mathematics
ISBN : 9780486316253
Written by a distinguished mathematician, this classic examines the mathematical material necessary for a grasp of relativity theory. Covers introductory theories, fundamental quadratic forms, absolute differential calculus, and physical applications. 1926 edition.
Author : Dazhong Lao,Shanshan Zhao
Publisher : Springer Nature
Page : 1006 pages
File Size : 47,8 Mb
Release : 2020-09-02
Category : Technology & Engineering
ISBN : 9789811560705
This book focuses on the calculus of variations, including fundamental theories and applications. This textbook is intended for graduate and higher-level college and university students, introducing them to the basic concepts and calculation methods used in the calculus of variations. It covers the preliminaries, variational problems with fixed boundaries, sufficient conditions of extrema of functionals, problems with undetermined boundaries, variational problems of conditional extrema, variational problems in parametric forms, variational principles, direct methods for variational problems, variational principles in mechanics and their applications, and variational problems of functionals with vector, tensor and Hamiltonian operators. Many of the contributions are based on the authors’ research, addressing topics such as the extension of the connotation of the Hilbert adjoint operator, definitions of the other three kinds of adjoint operators, the extremum function theorem of the complete functional, unified Euler equations in variational methods, variational theories of functionals with vectors, modulus of vectors, arbitrary order tensors, Hamiltonian operators and Hamiltonian operator strings, reconciling the Euler equations and the natural boundary conditions, and the application range of variational methods. The book is also a valuable reference resource for teachers as well as science and technology professionals.
Author : Robert Hermann
Publisher : Unknown
Page : 284 pages
File Size : 41,8 Mb
Release : 1975
Category : Mathematics
ISBN : 0915692112
Author : Quddus Khan
Publisher : Misha Books
Page : 578 pages
File Size : 50,5 Mb
Release : 2020-12-29
Category : Mathematics
ISBN : 9789389055320
This book is intended to serve as a Textbook for Undergraduate and Post - graduate students of Mathematics. It will be useful to the researchers working in the field of Differential geometry and its applications to general theory of relativity and other applied areas. It will also be helpful in preparing for the competitive examinations like IAS, IES, NET, PCS, and UP Higher Education exams. The text starts with a chapter on Preliminaries discussing basic concepts and results which would be taken for general later in the subsequent chapters of this book. This is followed by the Study of the Tensors Algebra and its operations and types, Christoffel's symbols and its properties, the concept of covariant differentiation and its properties, Riemann's symbols and its properties, and application of tensor in different areas in part – I and the study of the Theory of Curves in Space, Concepts of a Surface and Fundamental forms, Envelopes and Developables, Curvature of Surface and Lines of Curvature, Fundamental Equations of Surface Theory, Theory of Geodesics, Differentiable Manifolds and Riemannian Manifold and Application of Differential Geometry in Part –II. KEY FEATURES: Provides basic Concepts in an easy to understand style; Presentation of the subject in a natural way; Includes a large number of solved examples and illuminating illustrations; Exercise questions at the end of the topic and at the end of each chapter; Proof of the theorems are given in an easy to understand style; Neat and clean figures are given at appropriate places; Notes and remarks are given at appropriate places.