Multivariable And Vector Calculus
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An Illustrative Guide To Multivariable And Vector Calculus
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Author : Stanley J. Miklavcic
language : en
Publisher: Springer Nature
Release Date : 2020-02-17
An Illustrative Guide To Multivariable And Vector Calculus written by Stanley J. Miklavcic and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-17 with Mathematics categories.
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.
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.
Multivariable And Vector Calculus
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Author : Maslan Osman
language : en
Publisher: Penerbit UTM Press
Release Date : 2008
Multivariable And Vector Calculus written by Maslan Osman and has been published by Penerbit UTM Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Calculus categories.
This book is based on the lectures given by the authors to engineering students taking Engineering Mathematics in Universiti Teknologi Malaysia. The lecture notes have been rewritten so that the book is also suitable for science students studying multivariable and vector calculus in higher learning institutions.
Exercises In Multivariable And Vector Calculus
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Author : Caspar R. Curjel
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 1990
Exercises In Multivariable And Vector Calculus written by Caspar R. Curjel and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Análisis vectorial categories.
Designed to supplement any traditional calculus text, this book of exercises covers topics from multivariable calculus that most books cover lightly. It enables students to go beyond routine technique exercises and to solidify their base for further study. While the primary audience is students in their third semester of calculus, this text could augment an intermediate/advanced text.
Multivariable Calculus With Vectors
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Author : Hartley Rogers
language : en
Publisher:
Release Date : 1999
Multivariable Calculus With Vectors written by Hartley Rogers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
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.
Multivariable And Vector Calculus
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Author : Sarhan M. Musa
language : en
Publisher:
Release Date : 2014-07-15
Multivariable And Vector Calculus written by Sarhan M. Musa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-15 with Computers categories.
This book is designed primarily for undergraduates in mathematics, engineering, and the physical sciences. Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. It also provides numerous computer illustrations and tutorials using MATLAB® and Maple®, that bridge the gap between analysis and computation. Features: *Includes numerous computer illustrations and tutorials using MATLAB® and Maple® *Covers the major topics of vector geometry, differentiation, and integration in several variables *Instructors' ancillaries available upon adoption
Multivariable Calculus And Mathematica
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Author : Kevin R. Coombes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multivariable Calculus And Mathematica written by Kevin R. Coombes 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.
One of the authors' stated goals for this publication is to "modernize" the course through the integration of Mathematica. Besides introducing students to the multivariable uses of Mathematica, and instructing them on how to use it as a tool in simplifying calculations, they also present intoductions to geometry, mathematical physics, and kinematics, topics of particular interest to engineering and physical science students. In using Mathematica as a tool, the authors take pains not to use it simply to define things as a whole bunch of new "gadgets" streamlined to the taste of the authors, but rather they exploit the tremendous resources built into the program. They also make it clear that Mathematica is not algorithms. At the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The problem sets give students an opportunity to practice their newly learned skills, covering simple calculations with Mathematica, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numberical integration. They also cover the practice of incorporating text and headings into a Mathematica notebook. A DOS-formatted diskette accompanies the printed work, containing both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students. This supplementary work can be used with any standard multivariable calculus textbook. It is assumed that in most cases students will also have access to an introductory primer for Mathematica.
Multivariable Calculus With Linear Algebra And Series
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Author : William F. Trench
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Multivariable Calculus With Linear Algebra And Series written by William F. Trench and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Multivariable Calculus with Linear Algebra and Series presents a modern, but not extreme, treatment of linear algebra, the calculus of several variables, and series. Topics covered range from vectors and vector spaces to linear matrices and analytic geometry, as well as differential calculus of real-valued functions. Theorems and definitions are included, most of which are followed by worked-out illustrative examples. Comprised of seven chapters, this book begins with an introduction to linear equations and matrices, including determinants. The next chapter deals with vector spaces and linear transformations, along with eigenvalues and eigenvectors. The discussion then turns to vector analysis and analytic geometry in R3; curves and surfaces; the differential calculus of real-valued functions of n variables; and vector-valued functions as ordered m-tuples of real-valued functions. Integration (line, surface, and multiple integrals) is also considered, together with Green's and Stokes's theorems and the divergence theorem. The final chapter is devoted to infinite sequences, infinite series, and power series in one variable. This monograph is intended for students majoring in science, engineering, or mathematics.
Multivariable Mathematics With Maple
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Author : James A. Carlson
language : en
Publisher:
Release Date : 1997
Multivariable Mathematics With Maple written by James A. Carlson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Multivariable Calculus
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Author : Clark Bray
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2013-02-21
Multivariable Calculus written by Clark Bray and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Calculus categories.
The YouTube Channel for this book, with a complete set of video lectures and hundreds of video explanations of exercises, is at: https: //www.youtube.com/playlist?list=PLGKxWeKRIy4WVzMzL4OB8HVabYagNrkO5 For more information, see the book webpage at: http: //www.math.duke.edu/ cbray/mv/ This is a textbook on multivariable calculus, whose target audience is the students in Math 212 at Duke University -- a course in multivariable calculus intended for students majoring in the sciences and engineering. This book has been used in summer offerings of that course several times, taught by Clark Bray. It is intended to fill a gap in the spectrum of multivariable calculus textbooks. It goes beyond books that are oriented around formulas that students can simply memorize, but it does not include the abstraction and rigor that can be found in books that give the most complete and sophisticated presentations of the material. This book would be appropriate for use at any university. It assumes only that the student is proficient in single variable calculus and its prerequisites. The material in this book is developed in a way such that students can see a motivation behind the development, not just the results. The emphasis is on giving students a way to visualize the ideas and see the connections between them, with less emphasis on rigor. The book includes substantial applications, including much discussion of gravitational, electric, and magnetic fields, Maxwell's laws, and the relationships of these physical ideas to the vector calculus theorems of Gauss and Stokes. It also includes a brief discussion of linear algebra, allowing for the discussion of the derivative transformation and Jacobian matrices, which are then used often elsewhere in the book. And there are extensive discussions of multivariable functions and the different ways to represent them geometrically, manipulating multivariable equations and the effects on the solution sets.