The Mathematical Foundation of Kron's Tensor Analysis of Electrical Networks PDF Download
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Author: Kuo Un Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 206
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Book Description
Author: Kuo Un Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 206
Get Book Here
Book Description
Author: Kuo Un Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 103
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Book Description
Author: Gabriel Kron
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Author: Stanley Austen Stigant
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 266
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Book Description
Author: Gabriel Kron
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 250
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Book Description
Author: Gabriel Kron
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 688
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Book Description
Author: Theodore H. Fisher
Publisher:
ISBN:
Category :
Languages : en
Pages : 188
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Book Description
Author: Herbert S. Wilf
Publisher: American Mathematical Soc.
ISBN: 9780821813225
Category : Electric engineering
Languages : en
Pages : 266
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Book Description
Author: Paul Slepian
Publisher: Springer Science & Business Media
ISBN: 364287424X
Category : Science
Languages : en
Pages : 205
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Book Description
In this book we attempt to develop the fundamental results of resistive network analysis, based upon a sound mathematical structure. The axioms upon which our development is based are Ohm's Law, Kirchhoff's Voltage Law, and Kirchhoff's Current Law. In order to state these axioms precisely, and use them in the development of our network analysis, an elaborate mathematical structure is introduced, involving concepts of graph theory, linear algebra, and one dimensional algebraic topology. The graph theory and one dimensional algebraic topology used are developed from first principles; the reader needs no background in these subjects. However, we do assume that the reader has some familiarity with elementary linear algebra. It is now stylish to teach elementary linear algebra at the sophomore college level, and we feel that the require ment that the reader should be familiar with elementary linear algebra is no more demanding than the usual requirement in most electrical engineering texts that the reader should be familiar with calculus. In this book, however, no calculus is needed. Although no formal training in circuit theory is needed for an understanding of the book, such experience would certainly help the reader by presenting him with familiar examples relevant to the mathematical abstractions introduced. It is our intention in this book to exhibit the effect of the topological properties of the network upon the branch voltages and branch currents, the objects of interest in network analysis.
Author: Fridtjov Irgens
Publisher: Springer
ISBN: 3030034127
Category : Science
Languages : en
Pages : 400
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Book Description
This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text. Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.
