Download or read book Vectors A Selection of Classic Mathematical Articles Containing Examples and Exercises on the Subject of Calculus Mathematics Series written by Various and published by . This book was released on 2012-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains classic material dating back to the 1900s and before. The content has been carefully selected for its interest and relevance to a modern audience. Carefully selecting the best articles from our collection we have compiled a series of historical and informative publications on the subject of mathematics. The titles in this range include "Logarithms" "Graphical Algebra" "Elliptic Integrals" and many more. Each publication has been professionally curated and includes all details on the original source material. This particular instalment, "Vectors" contains a selection of classic educational articles containing examples and exercises on the subject of algebra. It is intended to illustrate aspects of vectors and serves as a guide for anyone wishing to obtain a general knowledge of the subject. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book Functions in Calculus A Selection of Classic Mathematical Articles Containing Examples and Exercises on the Subject of Calculus Mathematics Series written by Various and published by Buchanan Press. This book was released on 2012-06 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains classic material dating back to the 1900s and before. The content has been carefully selected for its interest and relevance to a modern audience. Carefully selecting the best articles from our collection we have compiled a series of historical and informative publications on the subject of mathematics. The titles in this range include "Ratio and Proportion" "Simple Equations" "Simultaneous Equations" and many more. Each publication has been professionally curated and includes all details on the original source material. This particular instalment, "Functions in Calculus" contains a selection of classic educational articles containing examples and exercises on the subject of algebra. It is intended to illustrate aspects of Functions and serves as a guide for anyone wishing to obtain a general knowledge of the subject. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus and Curves A Selection of Classic Mathematical Articles Containing Examples and Exercises on Curve Length Contact Tracing and Other Aspec written by Various and published by Dickens Press. This book was released on 2012-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains classic material dating back to the 1900s and before. The content has been carefully selected for its interest and relevance to a modern audience. Carefully selecting the best articles from our collection we have compiled a series of historical and informative publications on the subject of mathematics. The titles in this range include "Ratio and Proportion" "Simple Equations" "Simultaneous Equations" and many more. Each publication has been professionally curated and includes all details on the original source material. This particular instalment, "Calculus and Curves" contains a selection of classic educational articles containing examples and exercises on the subject of algebra. It is intended to illustrate aspects of calculus and curves and serves as a guide for anyone wishing to obtain a general knowledge of the subject. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book Vector Calculus written by William Cox and published by Butterworth-Heinemann. This book was released on 1998-05-15 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for second semester options, Vector Calculus introduces the student to some of the key techniques used by mathematicians, and includes historical contexts, real-life situations and links with other areas of mathematics.
Download or read book Vector Calculus written by Steven G. Krantz and published by CRC Press. This book was released on 2024-05-28 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Vector Calculus written by James Byrnie Shaw and published by Forgotten Books. This book was released on 2015-06-16 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Vector Calculus: With Applications to Physics This volume embodies the lectures given on the subject to graduate students over a period of four repetitions. The point of view is the result of many years of consideration of the whole field. The author has examined the various methods that go under the name of Vector, and finds that for all purposes of the physicist and for most of those of the geometer, the use of quaternions is by far the simplest in theory and in practice. The various points of view are mentioned in the introduction, and it is hoped that the essential differences are brought out. The tables of comparative notation scattered through the text will assist in following the other methods. The place of vector work according to the author is in the general field of associative algebra, and every method so far proposed can be easily shown to be an imperfect form of associative algebra. From this standpoint the various discussions as to the fundamental principles may be understood. As far as the mere notations go, there is not much difference save in the actual characters employed. These have assumed a somewhat national character. It is unfortunate that so many exist. The attempt in this book has been to give a text to the mathematical student on the one hand, in which every physical term beyond mere elementary terms is carefully defined. On the other hand for the physical student there will be found a large collection of examples and exercises which will show him the utility of the mathematical methods. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Vector Calculus written by Paul C. Matthews and published by Springer Science & Business Media. This book was released on 2000-01-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Calculus with Applications to Physics written by James Byrnie Shaw and published by Createspace Independent Publishing Platform. This book was released on 2016-11-10 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the PREFACE. This volume embodies the lectures given on the subject to graduate students over a period of four repetitions. The point of view is the result of many years of consideration of the whole field. The author has examined the various methods that go under the name of Vector, and finds that for all purposes of the physicist and for most of those of the geometer, the use of quaternions is by far the simplest in theory and in practice. The various points of view are mentioned in the introduction, and it is hoped that the essential differences are brought out. The tables of comparative notation scattered through the text will assist in following the other methods. The place of vector work according to the author is in the general field of associative algebra, and every method so far proposed can be easily shown to be an imperfect form of associative algebra. From this standpoint the various discussions as to the fundamental principles may be understood. As far as the mere notations go, there is not much difference save in the actual characters employed. These have assumed a somewhat national character. It is unfortunate that so many exist. The attempt in this book has been to give a text to the mathematical student on the one hand, in which every physical term beyond mere elementary terms is carefully defined. On the other hand for the physical student there will be found a large collection of examples and exercises which will show him the utility of the mathematical methods. So very little exists in the numerous treatments of the day that does this, and so much that is labeled vector analysis is merely a kind of short-hand, that it has seemed very desirable to show clearly the actual use of vectors as vectors. It will be rarely the case in the text that any use of the components of vectors will be found. The triplexes in other texts are very seldom much different from the ordinary Cartesian forms, and not worth learning as methods. The difficulty the author has found with other texts is that after a few very elementary notions, the mathematical student (and we may add the physical student) is suddenly plunged into the profundities of mathematical physics, as if he were familiar with them. This is rarely the case, and the object of this text is to make him familiar with them by easy gradations. It is not to be expected that the book will be free from errors, and the author will esteem it a favor to have all errors and oversights brought to his attention. He desires to thank specially Dr. C. F. Green, of the University of Illinois, for his careful assistance in reading the proof, and for other useful suggestions. Finally he has gathered his material widely, and is in debt to many authors for it, to all of whom he presents his thanks.
Download or read book Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding written by Terrance J Quinn and published by World Scientific. This book was released on 2020-07-24 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.
Download or read book Vector Calculus Study Guide Solutions Manual written by Karen Pao and published by Macmillan. This book was released on 2003-08-22 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes solutions to selected exercises and study hints.
Download or read book Vector Algebra and Calculus written by Hari Kishan and published by Atlantic Publishers & Dist. This book was released on 2007-05-19 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Calculus written by Jerrold E. Marsden and published by . This book was released on 2012 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This vector calculus text helps students gain a solid, intuitive understanding of this important subject. The book's careful balance between theory, application, and historical development, provides readers with insights into how mathematics progresses and is in turn influenced by the natural world. A special feature of this textbook is the early introduction of vector fields, divergence and curl in Chapter 4, before integration. The new edition offers a streamlined, contemporary design, an increased number of practice exercises, and content changes based on reviewer feedback, giving this classic text a modern appeal.
Download or read book Vector Calculus written by Susan Jane Colley and published by . This book was released on 2002 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for sophomore-level courses in Multivariable Calculus. A traditional and accessible calculus text with a strong conceptual and geometric slant that assumes a background in single-variable calculus. The text uses the language and notation of vectors and matrices to clarify issues in multivariable calculus. It is designed to provide a greater challenge than the multivariable material typically found in the last four or five chapters of a three-semester calculus text. This challenge is balanced by clear and expansive writing and an interesting selection of material.
Download or read book Calculus in Vector Spaces Revised Expanded written by Lawrence Corwin and published by Routledge. This book was released on 2017-11-22 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Download or read book Vector Calculus written by Susan Colley and published by Pearson. This book was released on 2022-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For courses in Multivariable Calculus. Fosters a sound conceptual grasp of vector calculus With its readable narrative, numerous figures, strong examples and exercise sets, Vector Calculus uses the language and notation of vectors and matrices to help students begin the transition from first-year calculus to more advanced technical math. Instructors will appreciate its mathematical precision, level of rigor and full selection of topics. The 5th Edition offers clarifications, new examples and new exercises throughout. For the first time, this book is now available as a Pearson eText that includes interactive GeoGebra applets. Hallmark features of this title Introduction of basic linear algebra concepts throughout shows the connection between concepts in single- and multivariable calculus. Over 600 diagrams and figures connect analytic work to geometry and aid visualization. Many fully worked examples throughout clarify main ideas and techniques. Over 1400 exercises meet student needs: from practice with the basics, to applications, to mid-level exercises, to more challenging conceptual questions. Optional CAS exercises are provided. Chapter-ending exercises help students synthesize material from multiple sections, and true/false exercises appear at the end of each chapter. Carefully chosen advanced topics help instructors take the discussion beyond the level of other vector calculus texts. New and updated features of this title New derivations of the orthogonal projection formula and the Cauchy-Schwarz inequality appear in Chapter 1 (Vectors). A description of the geometric interpretation of second-order partial derivatives has been added to Chapter 2 (Differentiation in Several Variables). A description of the interpretation of the Lagrange multiplier has been added to Chapter 4 (Maxima and Minima in Several Variables). Chapter 5 (Multiple Integration) adds new terminology to describe elementary regions of integration, and more examples of setting up double and triple integrals; a new subsection on probability as an application of multiple integrals; and new miscellaneous exercises on expected value. New examples illustrating interesting uses of Green's theorem have been added to Chapter 6 (Line Integrals). New miscellaneous exercises have been added in Chapters 1 and 4 for readers more familiar with linear algebra. Features of Pearson eText for the 5th Edition For the first time, this text is available as a Pearson eText, featuring a number of interactive GeoGebra applets. Learn more about Pearson eText.
Download or read book Vector Calculus written by Thomas H. Barr and published by Pearson. This book was released on 2001 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: For one semester, sophomore-level courses in Vector Calculus and Multivariable Calculus. This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. The organization of the text draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in approach, it is written with an assumption that the student may have computing facilities for two- and three-dimensional graphics, and for doing symbolic algebra.
