Download or read book Introduction to Vector Analysis written by Harry F. Davis and published by . This book was released on 1988 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Vector Analysis written by John Cragoe Tallack and published by Cambridge University Press. This book was released on 1970 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first eight chapters of this book were originally published in 1966 as the successful Introduction to Elementary Vector Analysis. In 1970, the text was considerably expanded to include six new chapters covering additional techniques (the vector product and the triple products) and applications in pure and applied mathematics. It is that version which is reproduced here. The book provides a valuable introduction to vectors for teachers and students of mathematics, science and engineering in sixth forms, technical colleges, colleges of education and universities.
Download or read book Vector Analysis written by Homer E. Newell and published by Courier Corporation. This book was released on 2012-05-04 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.
Download or read book An Introduction to Vectors Vector Operators and Vector Analysis written by Pramod S. Joag and published by Cambridge University Press. This book was released on 2016-10-13 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Analysis written by Louis Brand and published by Courier Corporation. This book was released on 2012-06-22 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.
Download or read book A History of Vector Analysis written by Michael J. Crowe and published by Courier Corporation. This book was released on 1994-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Analysis Versus Vector Calculus written by Antonio Galbis and published by Springer Science & Business Media. This book was released on 2012-03-29 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Calculus written by Paul C. Matthews and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Vector and Tensor Analysis written by Robert C. Wrede and published by Courier Corporation. This book was released on 2013-01-30 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Analysis for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2007-06-18 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a complete introduction to vector analysis, especially within the context of computer graphics. The author shows why vectors are useful and how it is possible to develop analytical skills in manipulating vector algebra. Even though vector analysis is a relatively recent development in the history of mathematics, it has become a powerful and central tool in describing and solving a wide range of geometric problems. The book is divided into eleven chapters covering the mathematical foundations of vector algebra and its application to, among others, lines, planes, intersections, rotating vectors, and vector differentiation.
Download or read book A Textbook of Vector Analysis written by Shanti Narayan | PK Mittal and published by S. Chand Publishing. This book was released on 2010 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Textbook of Vector Analysis
Download or read book Vector and Tensor Analysis with Applications written by A. I. Borisenko and published by Courier Corporation. This book was released on 2012-08-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Concise Vector Analysis written by C. J. Eliezer and published by Courier Dover Publications. This book was released on 2016-01-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Analysis in Vector Spaces written by Mustafa A. Akcoglu and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined withrelated computational methods are essential to understanding nearlyall areas of quantitative science. Analysis in Vector Spacespresents the central results of this classic subject throughrigorous arguments, discussions, and examples. The book aims tocultivate not only knowledge of the major theoretical results, butalso the geometric intuition needed for both mathematicalproblem-solving and modeling in the formal sciences. The authors begin with an outline of key concepts, terminology,and notation and also provide a basic introduction to set theory,the properties of real numbers, and a review of linear algebra. Anelegant approach to eigenvector problems and the spectral theoremsets the stage for later results on volume and integration.Subsequent chapters present the major results of differential andintegral calculus of several variables as well as the theory ofmanifolds. Additional topical coverage includes: Sets and functions Real numbers Vector functions Normed vector spaces First- and higher-order derivatives Diffeomorphisms and manifolds Multiple integrals Integration on manifolds Stokes' theorem Basic point set topology Numerous examples and exercises are provided in each chapter toreinforce new concepts and to illustrate how results can be appliedto additional problems. Furthermore, proofs and examples arepresented in a clear style that emphasizes the underlying intuitiveideas. Counterexamples are provided throughout the book to warnagainst possible mistakes, and extensive appendices outline theconstruction of real numbers, include a fundamental result aboutdimension, and present general results about determinants. Assuming only a fundamental understanding of linear algebra andsingle variable calculus, Analysis in Vector Spaces is anexcellent book for a second course in analysis for mathematics,physics, computer science, and engineering majors at theundergraduate and graduate levels. It also serves as a valuablereference for further study in any discipline that requires a firmunderstanding of mathematical techniques and concepts.
Download or read book Advanced Calculus written by Harold M. Edwards and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.
Download or read book Elementary Vector Analysis written by Charles Ernest Weatherburn and published by . This book was released on 1921 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vector Calculus written by P. R. Baxandall and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.
