Kalkulus Vektor
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Kalkulus Vektor
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Author : Lukman
language : id
Publisher: Bumi Aksara
Release Date : 2023-10-12
Kalkulus Vektor written by Lukman and has been published by Bumi Aksara this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-12 with Mathematics categories.
Buku Kalkulus Vektor disusun dengan tujuan menjadi salah satu buku sumber bacaan pada mata kuliah Kalkulus Vektor, sehingga dapat membantu para mahasiswa Pendidikan Matematika dan mahasiswa Teknik dalam memahami konsep-konsep dan mengembangkan konsep yang ada dalam mata kuliah tersebut. Buku Kalkulus Vektor ini disusun sesederhana mungkin, tetapi dalam pembahasannya tetap menekankan pada keterampilan konseptual. Buku ini juga dilengkapi dengan pembuktian, contoh soal, ilustrasi gambar, dan latihan soal untuk membantu mahasiswa dalam memahami konsep dan menilai secara mandiri. Keunggulan buku ini dapat meningkatkan pemahaman konsep yang lebih dalam tentang kalkulus, karena dalam pembahasannya beberapa teorema dilengkapi dengan bukti, contoh dan ilustrasi gambar yang sederhana. Buku yang berjudul Kalkulus Vektor ini terdiri atas Bab 1 Vektor, Bab 2 Fungsi Bernilai Vektor, Bab 3 Integral Garis dan Teorema Green, Bab 4 Integral Permukaan dan Teorema Stokes, Bab 5 Teorema Gauss.
Vector Calculus
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Author : Durgaprasanna Bhattacharyya
language : en
Publisher: Lulu.com
Release Date : 2018-09-08
Vector Calculus written by Durgaprasanna Bhattacharyya and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-08 with History categories.
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.
Vector Calculus
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Author : William Cox
language : en
Publisher: Butterworth-Heinemann
Release Date : 1998-05-01
Vector Calculus written by William Cox and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-01 with Mathematics categories.
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.
Vector Analysis Versus Vector Calculus
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Author : Antonio Galbis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-29
Vector Analysis Versus Vector Calculus written by Antonio Galbis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-29 with Mathematics categories.
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.
Vector Calculus
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Author : Paul C. Matthews
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Vector Calculus written by Paul C. Matthews and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
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Author : P. R. Baxandall
language : en
Publisher: Oxford University Press, USA
Release Date : 1986
Vector Calculus written by P. R. Baxandall and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Calculus categories.
An introduction to the differential and integral calculus of functions of several variables for students wanting more than a superficial account of the subject. Topics covered include inverse function theorem, the implicit function theorem, and the integration theorems of Green, Stokes, and Gauss.
Vector Calculus
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Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2024-05-28
Vector Calculus written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-28 with Mathematics categories.
Using meaningful examples, credible applications, and incisive technology, Vector Calculus strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. This text is intended to be a cornerstone of that process. An engaging style and clear writing make the language of mathematics accessible, understandable, and enjoyable, with a high standard for mathematical rigor. A calculus book must tell the truth. This book is carefully written in the accepted language of mathematics in a readable exposition. It includes useful and fascinating applications, acquaints students with the history of the subject, and offers a sense of what mathematics is all about. Technique is presented, yet so are ideas. The authors help students to master basic methods and discover and build their own concepts in a scientific subject. There is an emphasis on using modeling and numerical calculation. Additional features include: A Quick Quiz and Problems for Practice, Further Theory and Practice, and Calculator/Computer Exercises appear at the end of each section All exercise sets are step laddered A Look Back and A Look Forward help students put the ideas in context Every chapter ends with a Genesis and Development section, giving history and perspective on key topics in the evolution of calculus Boxed Insights clear up points or answer commonly asked questions The text has an extra-large offering of examples Examples are illustrated with meaningful and useful graphics The pedagogical features make the subject more interesting and accessible to students than other texts, while maintaining an appropriate rigor. —Daniel Cunningham, CSU-Fresno This text is truly well written and organized. I do like the fact the book is quite rigorous, yet full of illustrative examples. —Bob Devaney, Boston University
Multivariable And Vector Calculus
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Author : Joseph D. Fehribach
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-02-10
Multivariable And Vector Calculus written by Joseph D. Fehribach and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-10 with Mathematics categories.
This carefully-designed book covers multivariable and vector calculus, and is appropriate either as a text of a one-semester course, or for self-study. It includes many worked-through exercises, with answers to many of the basic computational ones and hints to many of those that are more involved, as well as lots of diagrams which illustrate the various theoretical concepts.
Vector Analysis
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Author : Klaus Jänich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Vector Analysis written by Klaus Jänich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.
A History Of Vector Analysis
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Author : Michael J. Crowe
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
A History Of Vector Analysis written by Michael J. Crowe and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
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.