Download or read book Vectors in Physics and Engineering written by Alan Durrant and published by Routledge. This book was released on 2019-02-25 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the use of vectors in a wide range of undergraduate disciplines. It is written specifically to match the level of experience and mathematical qualifications of students entering undergraduate and Higher National programmes and it assumes only a minimum of mathematical background on the part of the reader. Basic mathematics underlying the use of vectors is covered, and the text goes from fundamental concepts up to the level of first-year examination questions in engineering and physics. The material treated includes electromagnetic waves, alternating current, rotating fields, mechanisms, simple harmonic motion and vibrating systems. There are examples and exercises and the book contains many clear diagrams to complement the text. The provision of examples allows the student to become proficient in problem solving and the application of the material to a range of applications from science and engineering demonstrates the versatility of vector algebra as an analytical tool.
Download or read book Vectors And Tensors In Engineering And Physics written by Donald Danielson and published by Westview Press. This book was released on 2003-01-29 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vectors and Tensors in Engineering and Physics develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications. The book provides equations for predicting: the rotations of gyroscopes and other axisymmetric solids, derived from Euler's equations for the motion of rigid bodies; the temperature decays in quenched forgings, derived from the heat equation; the deformed shapes of twisted rods and bent beams, derived from the Navier equations of elasticity; the flow fields in cylindrical pipes, derived from the Navier-Stokes equations of fluid mechanics; the trajectories of celestial objects, derived from both Newton's and Einstein's theories of gravitation; the electromagnetic fields of stationary and moving charged particles, derived from Maxwell's equations; the stress in the skin when it is stretched, derived from the mechanics of curved membranes; the effects of motion and gravitation upon the times of clocks, derived from the special and general theories of relativity. The book also features over 100 illustrations, complete solutions to over 400 examples and problems, Cartesian components, general components, and components-free notations, lists of notations used by other authors, boxes to highlight key equations, historical notes, and an extensive bibliography.
Download or read book Vectors in Physics and Engineering written by Alan Durrant and published by CRC Press. This book was released on 2018-06-28 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the use of vectors in a wide range of undergraduate disciplines. It is written specifically to match the level of experience and mathematical qualifications of students entering undergraduate and Higher National programmes and it assumes only a minimum of mathematical background on the part of the reader. Basic mathematics underlying the use of vectors is covered, and the text goes from fundamental concepts up to the level of first-year examination questions in engineering and physics. The material treated includes electromagnetic waves, alternating current, rotating fields, mechanisms, simple harmonic motion and vibrating systems. There are examples and exercises and the book contains many clear diagrams to complement the text. The provision of examples allows the student to become proficient in problem solving and the application of the material to a range of applications from science and engineering demonstrates the versatility of vector algebra as an analytical tool.
Download or read book An Introduction to Vector Analysis written by B. Hague and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Fields written by J. A. Shercliff and published by Cambridge University Press. This book was released on 1977-04-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A field is a distribution in space of physical quantities of obvious significance, such as pressure, velocity, or electromagnetic influence. This 1977 book was written for any reader who would not be content with a purely mathematical approach to the handling of 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 including electromagnetism, fluid dynamics, nuclear reactor criticality, plasma oscillations and rotational flow. Mathematical methods are explored only far enough to give the interested reader a glimpse of activities that lie beyond, yet the unifying approach to increasingly powerful, generalised ideas at a level not reached in many books on vector analysis at the time. Special features of the book are a wealth of examples of physical interest, and a thorough appendix.
Download or read book An Introduction to Vector Analysis for Physicists and Engineers written by Bernard Hague and published by . This book was released on 1965 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vectors And Tensors In Engineering And Physics written by D. A. Danielson and published by Westview Press. This book was released on 1997 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications, to make this successful text an even more useful and user-friendly book than the first edition.
Download or read book A Student s Guide to Vectors and Tensors written by Daniel A. Fleisch and published by Cambridge University Press. This book was released on 2011-09-22 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
Download or read book Vectors Tensors and the Basic Equations of Fluid Mechanics written by Rutherford Aris and published by Courier Corporation. This book was released on 2012-08-28 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.
Download or read book Vector Analysis for Mathematicians Scientists and Engineers written by S. Simons and published by Elsevier. This book was released on 2014-05-15 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Vectors in Two Or Three Dimensions written by Ann Hirst and published by Elsevier. This book was released on 1995-08-17 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasized throughout.
Download or read book Vector Mechanics for Engineers written by Ferdinand Pierre Beer and published by . This book was released on 2007 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers dynamics for undergraduate engineering mechanics. It is written by Beer and Johnston, authors renowned for over 40 years for their significant theoretical pedagogical innovations in statics and dynamics, careful presentation of content and attention to detail.
Download or read book Vector Algebra written by Demetrios P Kanoussis Ph D and published by Independently Published. This book was released on 2019-06-24 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of the vector plays an extremely important role in Engineering, Physics and Geometry. Vector quantities have both magnitude and direction, as opposed to scalar quantities which have only magnitude. For example, the velocity, the acceleration, the force, the electric and magnetic fields, etc. are vector quantities, while mass, temperature, volume, etc. are scalar quantities.Vectors are important in almost all branches of Engineering, Geometry and Physics and in particular in the study of Applied Mathematics. Using vectors, many important equations in Engineering and Physics are expressed in a compact and concise form, independent from the particular coordinate system being used. In this book we lay out fundamental concepts and definitions, define the fundamental vector operations (equality of vectors, addition, subtraction, multiplication of a vector by a scalar, etc), define the various types of vector products (the dot or scalar product, the cross or outer product, the scalar triple product and the vector triple product), and show the strength of vector algebra in proving various important formulas in Geometry, Trigonometry, Engineering and Physics. The book contains 11 chapters, as shown analytically in the Table of contents. The first two chapters are devoted to fundamental concepts, definitions, terminology and vector operations. Chapter 3 is devoted to the Cartesian systems and the coordinate expression of vectors. In chapter 4 we introduce the concept of linear independence of vectors and investigate a number of useful consequences. Chapters 5 up to 9 are devoted to the study of various types of vector products, i.e. the dot product, the cross product, the scalar triple product and the vector triple product, and investigate a considerable number of applications in Physics and Geometry. In chapter 10 we derive the vector equations of straight lines, planes, circles and spheres and prove various properties using the theory of vectors. Finally, in chapter 11 we derive and summarize some fundamental formulas of plane and solid analytic Geometry, (distance of a point from a straight line, distance of a point from a plane, the least distance between two skew lines, the area of a triangle, the volume of a parallelepiped formed by three concurrent vectors, the angle between two planes, etc).The book contains 72 illustrative worked out examples and 145 graded problems for solution. The examples and the problems are designed to help students to develop a solid background in the algebra of vectors, to broaden their knowledge and sharpen their analytical skills and finally to prepare them to pursue successfully more advanced studies in Engineering and Mathematics.
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 An Introduction to Vector Analysis written by B. Hague and published by . This book was released on 1959 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Methods for Engineers and Scientists 2 written by Kwong-Tin Tang and published by Springer Science & Business Media. This book was released on 2006-11-30 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
