An Introduction to Vector Analysis

For Physicists and Engineers

Author: B. Hague

Publisher: Springer Science & Business Media

ISBN: 9400958412

Category: Mathematics

Page: 122

View: 9670

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The principal changes that I have made in preparing this revised edition of the book are the following. (i) Carefuily selected worked and unworked examples have been added to six of the chapters. These examples have been taken from class and degree examination papers set in this University and I am grateful to the University Court for permission to use them. (ii) Some additional matter on the geometrieaI application of veetors has been incorporated in Chapter 1. (iii) Chapters 4 and 5 have been combined into one chapter, some material has been rearranged and some further material added. (iv) The chapter on int~gral theorems, now Chapter 5, has been expanded to include an altemative proof of Gauss's theorem, a treatmeot of Green's theorem and a more extended discussioo of the classification of vector fields. (v) The only major change made in what are now Chapters 6 and 7 is the deletioo of the discussion of the DOW obsolete pot funetioo. (vi) A small part of Chapter 8 on Maxwell's equations has been rewritten to give a fuller account of the use of scalar and veetor potentials in eleetromagnetic theory, and the units emploYed have been changed to the m.k.s. system.

An Introduction to Vector Analysis

For Physicists and Engineers

Author: B. Hague

Publisher: Springer

ISBN: N.A

Category: Juvenile Nonfiction

Page: 122

View: 4763

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The principal changes that I have made in preparing this revised edition of the book are the following. (i) Carefuily selected worked and unworked examples have been added to six of the chapters. These examples have been taken from class and degree examination papers set in this University and I am grateful to the University Court for permission to use them. (ii) Some additional matter on the geometrieaI application of veetors has been incorporated in Chapter 1. (iii) Chapters 4 and 5 have been combined into one chapter, some material has been rearranged and some further material added. (iv) The chapter on int~gral theorems, now Chapter 5, has been expanded to include an altemative proof of Gauss's theorem, a treatmeot of Green's theorem and a more extended discussioo of the classification of vector fields. (v) The only major change made in what are now Chapters 6 and 7 is the deletioo of the discussion of the DOW obsolete pot funetioo. (vi) A small part of Chapter 8 on Maxwell's equations has been rewritten to give a fuller account of the use of scalar and veetor potentials in eleetromagnetic theory, and the units emploYed have been changed to the m.k.s. system.

Vector Analysis for Mathematicians, Scientists and Engineers

The Commonwealth and International Library: Physics Division

Author: S. Simons

Publisher: Elsevier

ISBN: 1483160211

Category: Mathematics

Page: 200

View: 6244

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Vector Analysis for Mathematicians, Scientists and Engineers, Second Edition, provides an understanding of the methods of vector algebra and calculus to the extent that the student will readily follow those works which make use of them, and further, will be able to employ them himself in his own branch of science. New concepts and methods introduced are illustrated by examples drawn from fields with which the student is familiar, and a large number of both worked and unworked exercises are provided. The book begins with an introduction to vectors, covering their representation, addition, geometrical applications, and components. Separate chapters discuss the products of vectors; the products of three or four vectors; the differentiation of vectors; gradient, divergence, and curl; line, surface, and volume integrals; theorems of vector integration; and orthogonal curvilinear coordinates. The final chapter presents an application of vector analysis. Answers to odd-numbered exercises are provided as the end of the book.

Introduction to Vector and Tensor Analysis

Author: Robert C. Wrede

Publisher: Courier Corporation

ISBN: 0486137112

Category: Mathematics

Page: 418

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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.

Advanced vector analysis for scientists and engineers

Author: Matiur Rahman

Publisher: Wit Pr/Computational Mechanics

ISBN: 9781845640934

Category: Mathematics

Page: 306

View: 4419

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Vector analysis is one of the most useful branches of mathematics. It is a highly scientific field that is used in practical problems arising in engineering and applied sciences. Based on notes gathered throughout the many years of teaching vector calculus, the main purpose of the book is to illustrate the application of vector calculus to physical problems. The theory is explained elegantly and clearly and there is an abundance of solved problems to manifest the application of the theory. The beauty of this book is the richness of practical applications. There are nine chapters each of which contains ample exercises at the end. A bibliography list is also included for ready reference. The book concludes with two appendices. Appendix A contains answers to some selected exercises, and Appendix B contains some useful vector formulas at a glance.This book is suitable for a one semester course for senior undergraduates and junior graduate students in science and engineering. It is also suitable for the scientists and engineers working on practical problems.

Vektoranalysis

Author: Klaus Jänich

Publisher: Springer-Verlag

ISBN: 3662107503

Category: Mathematics

Page: 277

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Die Vektoranalysis handelt, in klassischer Darstellung, von Vektorfeldern, den Operatoren Gradient, Divergenz und Rotation, von Linien-, Flächen- und Volumenintegralen und von den Integralsätzen von Gauß, Stokes und Green. In moderner Fassung ist es der Cartansche Kalkül mit dem Satz von Stokes. Das vorliegende Buch vertritt grundsätzlich die moderne Herangehensweise, geht aber auch sorgfältig auf die klassische Notation und Auffassung ein. Das Buch richtet sich an Mathematik- und Physikstudenten ab dem zweiten Studienjahr, die mit den Grundbegriffen der Differential- und Integralrechnung in einer und mehreren Variablen sowie der Topologie vertraut sind. Der sehr persönliche Stil des Autors und die aus anderen Büchern bereits bekannten Lernhilfen, wie: viele Figuren, mehr als 50 kommentierte Übungsaufgaben, über 100 Tests mit Antworten, machen auch diesen Text zum Selbststudium hervorragend geeignet.

Vector and Tensor Analysis

Author: George E. Hay

Publisher: Courier Corporation

ISBN: 0486601099

Category: Mathematics

Page: 193

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"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.

Analytical and Computational Methods of Advanced Engineering Mathematics

Author: Grant B. Gustafson,Calvin H. Wilcox

Publisher: Springer Science & Business Media

ISBN: 9780387982656

Category: Mathematics

Page: 733

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This book focuses on the topics which provide the foundation for practicing engineering mathematics: ordinary differential equations, vector calculus, linear algebra and partial differential equations. Destined to become the definitive work in the field, the book uses a practical engineering approach based upon solving equations and incorporates computational techniques throughout.

Concise Vector Analysis

Author: C. J. Eliezer

Publisher: Courier Dover Publications

ISBN: 0486809234

Category: Mathematics

Page: 160

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This concise introduction to the methods and techniques of vector analysis is suitable for college undergraduates in mathematics as well as students of physics and engineering. Rich in exercises and examples, the straightforward presentation focuses on physical ideas rather than mathematical rigor. The treatment begins with a chapter on vectors and vector addition, followed by a chapter on products of vector. Two succeeding chapters on vector calculus cover a variety of topics, including functions of a vector; line, surface, and volume integrals; the Laplacian operator, and more. The text concludes with a survey of standard applications, including Poinsot's central axis, Gauss's theorem, gravitational potential, Green's theorems, and other subjects.

VECTOR ANALYSIS

Author: DIPAK CHATTERJEE

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9788120327320

Category: Mathematics

Page: 272

View: 9110

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This fully revised and thoroughly updated second edition takes into account the constructive suggestions received from teachers and students alike on the first edition. A new chapter on Generalized Coordinate System has been added to make the book complete. Some more examples have been provided to highlight the applicability of vectors in physics and engineering. The answers to all the end-of-chapter exercises have been given in this edition to enhance the utility of the book. Beginning with the basic concepts of vector methods and various operations of vector-valued functions such as continuity, differentiability, and integrability, the three fundamental differential operators-gradient, divergence, and curl-are fully explored. The text then moves on to provide the essentials of differential geometry with particular reference to curvature and torsion, and Serret-Frenet equations. The chapter on mechanics demonstrates the strength of vectors in tackling physical problems. The book concludes with a new chapter on notions of vectors in the generalized coordinate system. This book is primarily intended for use by undergraduate students of mathematics and science for a course in vector analysis. It will also be useful to engineering students, as part of a course in engineering mathematics, where they are introduced to vector algebra, so essential for assimilating a better understanding of the physical aspects of the theory.

Vector Calculus

Author: Paul C. Matthews

Publisher: Springer Science & Business Media

ISBN: 1447105974

Category: Mathematics

Page: 182

View: 8095

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Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

Introduction to Vectors and Tensors

Author: Ray M. Bowen,Chao-cheng Wang

Publisher: Courier Corporation

ISBN: 048646914X

Category: Mathematics

Page: 520

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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.

Introduction to Engineering Physics For U.P.

Author: A S Vasudeva

Publisher: S. Chand Publishing

ISBN: 8121922178

Category: Science

Page: 484

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Unit 1: Relativity And InterferenceTheory Of RelativityInterference Unit 2: Diffraction And PolarizationDiffractionPolarizationUnit 3: Fields And ElectrostaticsScalar And Vector FieldsElectric Fields And Gauss'S LawMaxwell'S Equations Unit 4: Magnetic Properties Of Materials And X-RaysMagnetic Properties Of MaterialsX-Rays And Compton Effect Unit 5: Quantum Theory And LasersMatter Waves And Uncertainty PrincipleQuantum TheoryLasersModel Test Papers

Vector and Tensor Analysis with Applications

Author: A. I. Borisenko,I. E. Tarapov

Publisher: Courier Corporation

ISBN: 0486131904

Category: Mathematics

Page: 288

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Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.

Vector Analysis Versus Vector Calculus

Author: Antonio Galbis,Manuel Maestre

Publisher: Springer Science & Business Media

ISBN: 1461422000

Category: Mathematics

Page: 375

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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.

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: 9697

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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.

Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica

Author: Kuzman Adzievski,Abul Hasan Siddiqi

Publisher: CRC Press

ISBN: 1466510579

Category: Mathematics

Page: 648

View: 2739

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With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting computation as an integral part of the study of differential equations. The authors use Mathematica® along with graphics to improve understanding and interpretation of concepts. They also present exercises in each chapter and solutions to selected examples. Topics discussed include Laplace and Fourier transforms as well as Sturm-Liouville boundary value problems.