Single Variable Calculus With Vector Functions

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Single Variable Calculus with Vector Functions

Author : James Stewart
Publisher : Brooks/Cole Publishing Company
Page : 675 pages
File Size : 53,7 Mb
Release : 2006-03
Category : Mathematics
ISBN : 0495113360

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Single Variable Calculus with Vector Functions by James Stewart Pdf

Stewart's SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS: CONCEPTS AND CONTEXTS offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS: CONCEPTS AND CONTEXTS successfully brought peace to departments that were split between reform and traditional approaches to teaching calculus. Not only does the text help reconcile the two schools of thought by skillfully merging the best of traditional calculus with the best of the reform movement, it does so with innovation and meticulous accuracy.

Single Variable Calculus with Vector Functions

Author : James Stewart,Douglas Shaw
Publisher : Unknown
Page : 806 pages
File Size : 47,8 Mb
Release : 2010
Category : Calculus
ISBN : 0840049323

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Single Variable Calculus with Vector Functions by James Stewart,Douglas Shaw Pdf

Single Variable Calculus with Vector Functions for AP* Calculus

Author : James Stewart
Publisher : Cengage Learning
Page : 968 pages
File Size : 48,6 Mb
Release : 2006-03
Category : Mathematics
ISBN : PSU:000064517438

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Single Variable Calculus with Vector Functions for AP* Calculus by James Stewart Pdf

Stewart's SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that characterized all of James Stewart�s texts. In this new text, Stewart focuses on problem solving, using the pedagogical system that has worked so well for students in a wide variety of academic settings throughout the world.

Vector Calculus

Author : Alice Gorguis
Publisher : Xlibris Corporation
Page : 121 pages
File Size : 46,5 Mb
Release : 2013-07-31
Category : Mathematics
ISBN : 9781483672588

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Vector Calculus by Alice Gorguis Pdf

This text is intended for a one-semester course in the Calculus of functions of several variables and vector analysis taught at college level. This course is, normally known as , vector calculus, or multi variable calculus, or simply calculus-III. The course usually is preceded by a beginning course in linear algebra. The prerequisite for this course is the knowledge of the fundamen- tal of one-variable calculus, differentiation and integration of the standard functions. The text includes most of the basic theories as well as many related examples and problems. There are many exercises throughout the text, which in my experience are more than enough for a semester course in this subject. I include enough examples for each topics in each section to illustrate and help the student to practice his/her skills. Also, added problems that ask the student to reflect on and explore in his/her own words some of the important ideas of Vector Calculus. I have included material enough to be covered during a simple semester with- out a hassle, and it should be possible to work through the entire book with reasonable care. Most of the exercises are relatively routine computations to moderate and productive problems, to help the students understand the concept of each topic. Each section in a chapter is concluded with a set of exercises that review and extend the ideas that was introduced in the chapter, or section. Computer softwares were not included in this book. Most of the exercises can be solved easily by hand, but I advise the students to use Mathematica, or Maple to graph the functions in each problem to visualize the problem, and understand it better. Some of the homework might require the use of Mathematica.

Single Variable Calculus: Early Transcendentals

Author : Dennis G. Zill,Warren S. Wright
Publisher : Jones & Bartlett Publishers
Page : 502 pages
File Size : 43,7 Mb
Release : 2009-12-11
Category : Mathematics
ISBN : 9781449690557

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Single Variable Calculus: Early Transcendentals by Dennis G. Zill,Warren S. Wright Pdf

Dennis Zill's mathematics texts are renowned for their student-friendly presentation and robust examples and problem sets. The Fourth Edition of Single Variable Calculus: Early Transcendentals is no exception. This outstanding revision incorporates all of the exceptional learning tools that have made Zill's texts a resounding success. Appropriate for the first two terms in the college calculus sequence, students are provided with a solid foundation in important mathematical concepts and problem solving skills, while maintaining the level of rigor expected of a Calculus course.

Single Variable Calculus

Author : James Stewart,Daniel K. Clegg,Saleem Watson
Publisher : Unknown
Page : 992 pages
File Size : 49,9 Mb
Release : 2020-02-19
Category : Electronic
ISBN : 0357042913

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Single Variable Calculus by James Stewart,Daniel K. Clegg,Saleem Watson Pdf

SINGLE VARIABLE CALCULUS provides you with the strongest foundation for a STEM future. James Stewart's Calculus series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart's clarity of exposition and make the 9th edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide.

An Illustrative Guide to Multivariable and Vector Calculus

Author : Stanley J. Miklavcic
Publisher : Springer Nature
Page : 319 pages
File Size : 49,6 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.

Advanced Calculus

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 49,7 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 : 51,5 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.

Multivariable Mathematics

Author : Theodore Shifrin
Publisher : John Wiley & Sons
Page : 514 pages
File Size : 50,6 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.

Continuous Functions of Vector Variables

Author : Alberto Guzman
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200833

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Continuous Functions of Vector Variables by Alberto Guzman Pdf

This is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. The author covers boundedness, extreme values, and uniform continuity of functions, along with connections between continuity and topological concepts such as connectedness and compactness. The order of topics mimics the order of development in elementary calculus, with analogies and generalizations from such familiar ideas as the Pythagorean theorem.

Derivatives and Integrals of Multivariable Functions

Author : Alberto Guzman
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200352

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Derivatives and Integrals of Multivariable Functions by Alberto Guzman Pdf

This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author’s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line. Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. "Derivatives and Integrals of Multivariable Functions" is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.

Calculus of Vector Functions

Author : Richard E. Williamson,Richard H. Crowell,Hale F. Trotter
Publisher : Prentice Hall
Page : 644 pages
File Size : 51,7 Mb
Release : 1972
Category : Mathematics
ISBN : UOM:39015015697769

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Calculus of Vector Functions by Richard E. Williamson,Richard H. Crowell,Hale F. Trotter Pdf

Multivariable and Vector Calculus

Author : Joseph D. Fehribach
Publisher : Walter de Gruyter GmbH & Co KG
Page : 179 pages
File Size : 48,6 Mb
Release : 2020-02-10
Category : Mathematics
ISBN : 9783110660609

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Multivariable and Vector Calculus by Joseph D. Fehribach Pdf

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.

Advanced Calculus of Several Variables

Author : C. H. Edwards
Publisher : Academic Press
Page : 470 pages
File Size : 44,6 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.