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1000 tulosta hakusanalla Vector Hasting

Vector Calculus

Vector Calculus

Durgaprasanna Bhattacharyya

Lulu.com
2018
pokkari
INTRODUCTION. In course of an attempt to apply direct vector methods to certain problems of Electricity and Hydrodynamics, it was felt that, at least as a matter of consistency, the foundations of Vector Analysis ought to be placed on a basis independent of any reference to cartesian coordinates and the main theorems of that Analysis established directly from first principles. embodied in the present paper and an attempt is made here to develop the Differential and Integral Calculus of Vectors from a point of view which is believed to be new. In order to realise the special features of my presentation of the subject, it will be convenient to recall briefly the usual method of treatment. In any vector problem we are given certain relations among a number of vectors and we have to deduce some other relations which these same vectors satisfy.
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Vector and Tensor Analysis

Vector and Tensor Analysis

Eutiquio C. Young

CRC Press
2019
nidottu
Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved.
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Vector Analysis

Vector Analysis

Klaus Jänich

Springer-Verlag New York Inc.
2001
sidottu
Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Stokes, and Green. Modern vector analysis distills these into the Cartan calculus and a general form of Stokes' theorem. This essentially modern text carefully develops vector analysis on manifolds and reinterprets it from the classical viewpoint (and with the classical notation) for three-dimensional Euclidean space, then goes on to introduce de Rham cohomology and Hodge theory. The material is accessible to an undergraduate student with calculus, linear algebra, and some topology as prerequisites. The many figures, exercises with detailed hints, and tests with answers make this book particularly suitable for anyone studying the subject independently.
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Vector Space Projections

Vector Space Projections

Henry Stark; Yongyi Yang

John Wiley Sons Inc
1998
sidottu
A guide to the theory and application of methods of projections. With the rise of powerful personal computers, methods of vector space projections have moved rapidly from the realm of theory into widespread use. This book reflects the growing interest in the application of these methods to problem solving in science and engineering. It brings together material previously scattered in disparate papers, book chapters, and articles, and offers a systematic treatment of vector space projections. Written by two leading authorities in the field, this self-contained volume provides a tutorial on projection methods and how to apply them in science and engineering. It details effective problem-solving strategies, and explores key applications in communication and signal processing, neural networks and pattern recognition, and optics and image processing. This book: *Reviews the fundamentals of vector space theory *Covers principles and applications of vector space projections in general, and projections onto convex sets in particular *Provides real-world examples solvable on PCs and modest workstations *Features more than 100 illustrations *Includes end-of-chapter exercises and references. This extremely useful reference for practicing engineers, scientists, and educators can also be used for graduate-level study in science, mathematics, and engineering. Portions of the book have been used as material in short courses on applications of vector space projections.
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Vector Integration and Stochastic Integration in Banach Spaces

Vector Integration and Stochastic Integration in Banach Spaces

Nicolae Dinculeanu

John Wiley Sons Inc
2000
sidottu
A breakthrough approach to the theory and applications of stochastic integration The theory of stochastic integration has become an intensely studied topic in recent years, owing to its extraordinarily successful application to financial mathematics, stochastic differential equations, and more. This book features a new measure theoretic approach to stochastic integration, opening up the field for researchers in measure and integration theory, functional analysis, probability theory, and stochastic processes. World-famous expert on vector and stochastic integration in Banach spaces Nicolae Dinculeanu compiles and consolidates information from disparate journal articles—including his own results—presenting a comprehensive, up-to-date treatment of the theory in two major parts. He first develops a general integration theory, discussing vector integration with respect to measures with finite semivariation, then applies the theory to stochastic integration in Banach spaces. Vector Integration and Stochastic Integration in Banach Spaces goes far beyond the typical treatment of the scalar case given in other books on the subject. Along with such applications of the vector integration as the Reisz representation theorem and the Stieltjes integral for functions of one or two variables with finite semivariation, it explores the emergence of new classes of summable processes that make applications possible, including square integrable martingales in Hilbert spaces and processes with integrable variation or integrable semivariation in Banach spaces. Numerous references to existing results supplement this exciting, breakthrough work.
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Vector Calculus

Vector Calculus

Miroslav Lovric

John Wiley Sons Inc
2007
sidottu
This book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. Particular attention has been given to the material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.
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Vector and Tensor Analysis

Vector and Tensor Analysis

Louis Brand

Dover Publications Inc.
2020
nidottu
An outstanding introduction to tensor analysis for physics and engineering students, this text admirably covers the expected topics in a careful step-by-step manor. In addition to the standard vector analysis of Gibbs, including dyadic or tensors of valence two, the treatment also supplies an introduction to the algebra of motors. The entire theory is illustrated by many significant applications. Surface geometry and hydrodynamics are treated at length in separate chapters. Nearly all of the important results are formulated as theorems, in which the essential conditions are explicitly stated. Each chapter concludes with a selection of problems that develop students' technical skills and introduce new and important applications. The material may be adapted for short courses in either vector analysis or tensor analysis.
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Vector Analysis

Vector Analysis

N. Kemmer

Cambridge University Press
1977
pokkari
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.
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Vector Fields

Vector Fields

J. A. Shercliff

Cambridge University Press
1977
pokkari
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.
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Vector Bundles in Algebraic Geometry

Vector Bundles in Algebraic Geometry

Cambridge University Press
1995
pokkari
The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bundles in Algebraic Geometry brought together some of the leading researchers in the field to explore further these interactions. This book is a collection of survey articles by the main speakers at the symposium and presents to the mathematical world an overview of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as augmented bundles and coherent systems; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory and the moduli spaces of bundles on curves; the Horrocks–Mumford bundle and codimension 2 subvarieties in P4 and P5; exceptional bundles and stable sheaves on projective space.
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Vector- and Rodent-Borne Diseases in Europe and North America

Vector- and Rodent-Borne Diseases in Europe and North America

Norman G. Gratz

Cambridge University Press
2006
sidottu
A significant number of diseases are carried by insects, ticks, mites and rodents, and these diseases are far more common than is often realised. New diseases are regularly discovered and are becoming increasingly widespread, in part due to increased global travel and possibly even climate change. In this exciting new volume Norman Gratz, former Director, Division of Vector Biology and Control, World Health Organisation, reviews the distribution of all currently identified vector and rodent-borne diseases in Europe, the USA and Canada. Each type of infection is presented by group, covering incidence and prevalence, costs and public health burdens. Basic vector biology and control is described in detail and an extensive bibliography is provided to aid readers seeking further information. With its comprehensive coverage and detail, this book is set to become the standard reference for anyone working on vector- and rodent-borne diseases in medical entomology, zoology, epidemiology and public health.
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Vector Borne

Vector Borne

Michael McBride

Factor V Media
2014
nidottu
#1 BESTSELLING AUTHOR A team of scientists unlocks the secret of the next phase of human evolution in the most unstable geological region on the planet...at the bottom of the sea in the Pacific Ring of Fire. When a massive earthquake rocks Oceania, generating a tsunami that decimates the surrounding islands and sinks the research vessel, a rescue team is dispatched...only to find that the majority of the crew had been slaughtered prior to the ship's foundering. The survivors find themselves stranded in the middle of nowhere on an island that's being ripped apart from the inside out, desperately trying to reach the lone settlement on the far side.But they aren't alone.Something is hunting them from the jungle, something borne of the fire at the Earth's core. And their only hope for escape rests in the hands of a man who would sooner let them all die than share the island's secrets. PRAISE FOR MICHAEL McBRIDE"A thrilling adventure Fans of Michael Crichton will love it " - Jeff Strand, Author of Pressure"McBride writes with a rare confidence, and his story will thrill you to your reptilian core " - Tim Lebbon, author of Echo City and Fallen"Michael McBride literally stunned me with his enigmatic talent and kept me hanging on right up until the end." - Midwest Book Review"McBride just keeps getting better " - Hellnotes
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