An Introduction to Vectors, Vector Operators and Vector Analysis

An Introduction to Vectors, Vector Operators and Vector Analysis

Author: Pramod S. Joag

Publisher: Cambridge University Press

ISBN: 9781316870471

Category: Science

Page:

View: 310

Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their applications in a single volume. The first unit deals with basic formulation, both conceptual and theoretical. It discusses applications of algebraic operations, Levi-Civita notation, and curvilinear coordinate systems like spherical polar and parabolic systems and structures, and analytical geometry of curves and surfaces. The second unit delves into the algebra of operators and their types and also explains the equivalence between the algebra of vector operators and the algebra of matrices. Formulation of eigen vectors and eigen values of a linear vector operator are elaborated using vector algebra. The third unit deals with vector analysis, discussing vector valued functions of a scalar variable and functions of vector argument (both scalar valued and vector valued), thus covering both the scalar vector fields and vector integration.

An Introduction to Vector Analysis

An Introduction to Vector Analysis

Author: B. Hague

Publisher: Springer Science & Business Media

ISBN: 9789400958418

Category: Mathematics

Page: 122

View: 868

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.

Introduction to Vector and Tensor Analysis

Introduction to Vector and Tensor Analysis

Author: Robert C. Wrede

Publisher: Courier Corporation

ISBN: 9780486618791

Category: Mathematics

Page: 418

View: 456

Text for advanced undergraduate and graduate students covers the algebra, differentiation, and integration of vectors, and the algebra and analysis of tensors, with emphasis on transformation theory

An Introduction to Multivariable Analysis from Vector to Manifold

An Introduction to Multivariable Analysis from Vector to Manifold

Author: Piotr Mikusinski

Publisher: Springer Science & Business Media

ISBN: 081764234X

Category: Mathematics

Page: 295

View: 854

Multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This book takes the student and researcher on a journey through the core topics of the subject. Systematic exposition, with numerous examples and exercises from the computational to the theoretical, makes difficult ideas as concrete as possible. Good bibliography and index.

Introduction to Vectors and Tensors

Introduction to Vectors and Tensors

Author: Ray M. Bowen

Publisher: Courier Corporation

ISBN: 9780486469140

Category: Mathematics

Page: 520

View: 800

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.