Vector Calculus

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Vector Calculus

Author : Paul C. Matthews
Publisher : Springer Science & Business Media
Page : 189 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447105978

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Vector Calculus by Paul C. Matthews Pdf

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.

Vector Calculus

Author : Susan Jane Colley
Publisher : Pearson Educacion
Page : 624 pages
File Size : 50,9 Mb
Release : 2011-10-01
Category : Calculus of tensors
ISBN : 032181875X

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Vector Calculus by Susan Jane Colley Pdf

Vector Calculus, Fourth Edition, uses the language and notation of vectors and matrices to teach multivariable calculus. It is ideal for students with a solid background in single-variable calculus who are capable of thinking in more general terms about the topics in the course. This text is distinguished from others by its readable narrative, numerous figures, thoughtfully selected examples, and carefully crafted exercise sets. Colley includes not only basic and advanced exercises, but also mid-level exercises that form a necessary bridge between the two.

Multivariable Mathematics

Author : Theodore Shifrin
Publisher : John Wiley & Sons
Page : 514 pages
File Size : 55,5 Mb
Release : 2004-01-26
Category : Mathematics
ISBN : 9780471526384

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Multivariable Mathematics by Theodore Shifrin Pdf

Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.

Understanding Vector Calculus

Author : Jerrold Franklin
Publisher : Courier Dover Publications
Page : 113 pages
File Size : 52,9 Mb
Release : 2021-01-13
Category : Mathematics
ISBN : 9780486848853

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Understanding Vector Calculus by Jerrold Franklin Pdf

This concise text is a workbook for using vector calculus in practical calculations and derivations. Part One briefly develops vector calculus from the beginning; Part Two consists of answered problems. 2020 edition.

Vector Calculus

Author : Jerrold E. Marsden,Anthony Tromba
Publisher : W.H. Freeman
Page : 624 pages
File Size : 44,6 Mb
Release : 1981
Category : Calculus
ISBN : UCAL:B4424410

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Vector Calculus by Jerrold E. Marsden,Anthony Tromba Pdf

An Illustrative Guide to Multivariable and Vector Calculus

Author : Stanley J. Miklavcic
Publisher : Springer Nature
Page : 319 pages
File Size : 49,8 Mb
Release : 2020-02-17
Category : Mathematics
ISBN : 9783030334598

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An Illustrative Guide to Multivariable and Vector Calculus by Stanley J. Miklavcic Pdf

This textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization. With over one hundred carefully drawn color images, students who have long struggled picturing, for example, level sets or vector fields will find these abstract concepts rendered with clarity and ingenuity. This illustrative approach to the material covered in standard multivariable and vector calculus textbooks will serve as a much-needed and highly useful companion. Emphasizing portability, this book is an ideal complement to other references in the area. It begins by exploring preliminary ideas such as vector algebra, sets, and coordinate systems, before moving into the core areas of multivariable differentiation and integration, and vector calculus. Sections on the chain rule for second derivatives, implicit functions, PDEs, and the method of least squares offer additional depth; ample illustrations are woven throughout. Mastery Checks engage students in material on the spot, while longer exercise sets at the end of each chapter reinforce techniques. An Illustrative Guide to Multivariable and Vector Calculus will appeal to multivariable and vector calculus students and instructors around the world who seek an accessible, visual approach to this subject. Higher-level students, called upon to apply these concepts across science and engineering, will also find this a valuable and concise resource.

Synthetic Differential Geometry

Author : Anders Kock
Publisher : Cambridge University Press
Page : 245 pages
File Size : 54,9 Mb
Release : 2006-06-22
Category : Mathematics
ISBN : 9780521687386

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Synthetic Differential Geometry by Anders Kock Pdf

This book, first published in 2006, details how limit processes can be represented algebraically.

Vector Calculus

Author : P. R. Baxandall,Hans Liebeck
Publisher : Unknown
Page : 0 pages
File Size : 44,9 Mb
Release : 2008
Category : Calculus
ISBN : 0486466205

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Vector Calculus by P. R. Baxandall,Hans Liebeck Pdf

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.

Vector Calculus

Author : Miroslav Lovric
Publisher : John Wiley & Sons
Page : 638 pages
File Size : 40,8 Mb
Release : 2007-01-03
Category : Mathematics
ISBN : 9780471725695

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Vector Calculus by Miroslav Lovric Pdf

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.

A TEXTBOOK OF VECTOR CALCULUS

Author : SHANTI NARAYAN
Publisher : S. Chand Publishing
Page : 368 pages
File Size : 54,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9788121901611

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A TEXTBOOK OF VECTOR CALCULUS by SHANTI NARAYAN Pdf

A TEXTBOOK OF VECTOR CALCULUS

Calculus of Several Variables

Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 624 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210689

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Calculus of Several Variables by Serge Lang Pdf

This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

Vector Analysis Versus Vector Calculus

Author : Antonio Galbis,Manuel Maestre
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 47,5 Mb
Release : 2012-03-29
Category : Mathematics
ISBN : 9781461422006

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Vector Analysis Versus Vector Calculus by Antonio Galbis,Manuel Maestre Pdf

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.

Advanced Calculus of Several Variables

Author : C. H. Edwards
Publisher : Academic Press
Page : 470 pages
File Size : 52,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483268057

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Advanced Calculus of Several Variables by C. H. Edwards Pdf

Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

Advanced Calculus

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 45,9 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Vector Calculus

Author : William Cox
Publisher : Butterworth-Heinemann
Page : 257 pages
File Size : 48,5 Mb
Release : 1998-05-01
Category : Mathematics
ISBN : 9780080572956

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Vector Calculus by William Cox Pdf

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration.Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.