[PDF] Calculus With Vectors eBook

Author : Jay S. Treiman
Publisher : Springer
Page : 406 pages
File Size : 50,87 MB
Release : 2014-10-30
Category : Mathematics
ISBN : 3319094386

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Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises. The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems.

Author : Paul C. Matthews
Publisher : Springer Science & Business Media
Page : 189 pages
File Size : 31,79 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1447105974

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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.

Author : Hartley Rogers
Publisher :
Page : 824 pages
File Size : 33,83 MB
Release : 1999
Category : Mathematics
ISBN :

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This text is for the third semester or fourth and fifth quarters of calculus; i.e., for multivariable or vector calculus courses. This text presents a conceptual underpinning for multivariable calculus that is as natural and intuitively simple as possible. More than its competitors, this book focuses on modeling physical phenomena, especially from physics and engineering, and on developing geometric intuition.

Author : Hari Kishan
Publisher : Atlantic Publishers & Dist
Page : 452 pages
File Size : 29,15 MB
Release : 2007-05-19
Category : Calculus
ISBN : 9788126908066

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The Present Book Aims At Providing A Detailed Account Of The Basic Concepts Of Vectors That Are Needed To Build A Strong Foundation For A Student Pursuing Career In Mathematics. These Concepts Include Addition And Multiplication Of Vectors By Scalars, Centroid, Vector Equations Of A Line And A Plane And Their Application In Geometry And Mechanics, Scalar And Vector Product Of Two Vectors, Differential And Integration Of Vectors, Differential Operators, Line Integrals, And Gauss S And Stoke S Theorems.It Is Primarily Designed For B.Sc And B.A. Courses, Elucidating All The Fundamental Concepts In A Manner That Leaves No Scope For Illusion Or Confusion. The Numerous High-Graded Solved Examples Provided In The Book Have Been Mainly Taken From The Authoritative Textbooks And Question Papers Of Various University And Competitive Examinations Which Will Facilitate Easy Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, These Examples Will Acquaint The Readers With The Type Of Questions Usually Set At The Examinations. Furthermore, Practice Exercises Of Multiple Varieties Have Also Been Given, Believing That They Will Help In Quick Revision And In Gaining Confidence In The Understanding Of The Subject. Answers To These Questions Have Been Verified Thoroughly. It Is Hoped That A Thorough Study Of This Book Would Enable The Students Of Mathematics To Secure High Marks In The Examinations. Besides Students, The Teachers Of The Subject Would Also Find It Useful In Elucidating Concepts To The Students By Following A Number Of Possible Tracks Suggested In The Book.

Author : Antonio Galbis
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 49,90 MB
Release : 2012-03-29
Category : Mathematics
ISBN : 1461422000

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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.

Author : Michael J. Crowe
Publisher : Courier Corporation
Page : 306 pages
File Size : 25,20 MB
Release : 1994-01-01
Category : Mathematics
ISBN : 0486679101

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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.

Author : Homer E. Newell
Publisher : Courier Corporation
Page : 226 pages
File Size : 38,76 MB
Release : 2012-05-04
Category : Mathematics
ISBN : 0486154904

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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.

Author : Miroslav Lovric
Publisher : John Wiley & Sons
Page : 638 pages
File Size : 34,32 MB
Release : 2007-01-03
Category : Mathematics
ISBN : 0471725692

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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.

Author : Dwight E. Neuenschwander
Publisher : JHU Press
Page : 244 pages
File Size : 11,29 MB
Release : 2015
Category : Mathematics
ISBN : 142141564X

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It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

Author : Anil Kumar Sharma
Publisher : Discovery Publishing House
Page : 312 pages
File Size : 45,31 MB
Release : 2010
Category : Vector analysis
ISBN : 9788183560948

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Contents: Differentiation and Integration of Vectors, Multiple Vectors, Gradient, Divergence and Curl, Green s Gauss s and Stoke s Theorem.