Vector Fields

Vector Analysis Developed Through Its Application to Engineering and Physics

Author: J. A. Shercliff

Publisher: CUP Archive

ISBN: 9780521213066

Category: Mathematics

Page: 329

View: 5363

This 1977 book was written for any reader not content with a purely mathematical approach to fields. In letting the mathematical concepts invent themselves out of the need to describe the physical world quantitatively, Professor Shercliff shows how the same mathematical ideas may be used in a wide range of apparently different contexts.

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Introduction to Vectors and Tensors

Author: Ray M. Bowen,Chao-cheng Wang

Publisher: Courier Corporation

ISBN: 048646914X

Category: Mathematics

Page: 520

View: 8372

This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students. 1976 edition.

Vector Analysis

A Physicist's Guide to the Mathematics of Fields in Three Dimensions

Author: N. Kemmer

Publisher: CUP Archive

ISBN: 9780521211581

Category: Mathematics

Page: 254

View: 536

Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics. The account of the subject is aimed principally at physicists but the presentation is equally appropriate for engineers. The justification for adding to the available textbooks on vector analysis stems from Professor Kemmer's novel presentation of the subject developed through many years of teaching, and in relating the mathematics to physical models. While maintaining mathematical precision, the methodology of presentation relies greatly on the visual, geometric aspects of the subject and is supported throughout the text by many beautiful illustrations that are more than just schematic. A unification of the whole body of results developed in the book - from the simple ideas of differentiation and integration of vector fields to the theory of orthogonal curvilinear coordinates and to the treatment of time-dependent integrals over fields - is achieved by the introduction from the outset of a method of general parametrisation of curves and surfaces.

1997 International Symposium on Electromagnetic Compatibility

Proceedings 1997, Beijing, China

Author: Linchang Zhang

Publisher: IEEE

ISBN: N.A

Category: Technology & Engineering

Page: 537

View: 1283

This is second of its series started 1992 in China. The 1997 symposium will provide a forum for researchers and engineers to present their latest research results on the R7D in the field of EMC.

Mathematical Methods for Engineers and Scientists 2

Vector Analysis, Ordinary Differential Equations and Laplace Transforms

Author: Kwong-Tin Tang

Publisher: Springer Science & Business Media

ISBN: 3540302689

Category: Science

Page: 339

View: 3775

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

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ISBN: 9780850211030

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Page: 1030

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Vector Analysis Versus Vector Calculus

Author: Antonio Galbis,Manuel Maestre

Publisher: Springer Science & Business Media

ISBN: 1461422000

Category: Mathematics

Page: 375

View: 2407

The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.

Mathematical Systems Theory I

Modelling, State Space Analysis, Stability and Robustness

Author: Diederich Hinrichsen,Anthony J. Pritchard

Publisher: Springer Science & Business Media

ISBN: 9783540264101

Category: Mathematics

Page: 804

View: 5431

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

Mathematical Techniques and Physical Applications

Author: J Killingbeck

Publisher: Elsevier

ISBN: 0323142826

Category: Science

Page: 736

View: 1869

Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book.

A History of Vector Analysis

The Evolution of the Idea of a Vectorial System

Author: Michael J. Crowe

Publisher: Courier Corporation

ISBN: 0486679101

Category: Mathematics

Page: 270

View: 1913

Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Visualization of Fields and Applications in Engineering

Author: Stephen Tou

Publisher: John Wiley & Sons

ISBN: 0470978465

Category: Technology & Engineering

Page: 384

View: 6901

Driven by advances in computer technology, engineering analysis has developed rapidly and extensively in recent times; Visualization of Fields and Applications in Engineering presents the basic techniques for tensor field visualization and mapping of engineering data. Focusing on the fundamental aspects of post processing databases and applications outputs, the author explores existing theories and their integration in tensor field visualization and analysis. The subject covers fundamental theories through to integrated, multi-disciplinary technologies with practical applications in engineering, computer /general sciences. Visualization of Fields and Applications in Engineering is suitable for academic use and to serve as a source of reference. It will appeal to those who work in the engineering and science professions or in pursuit of academic training/ research. Offers a unique engineering approach to basic techniques for tensor field visualization and mapping Collates together material currently disseminated throughout the literature into one accessible point of reference Presents examples with applications beyond and across many disciplines.