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Multivariable Calculus with Vectors

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Multivariable Calculus with Vectors by : Hartley Rogers

Download or read book Multivariable Calculus with Vectors written by Hartley Rogers. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Illustrative Guide to Multivariable and Vector Calculus

2020-02-17 Mathematics
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Release : 2020-02-17
Genre : Mathematics
Kind : eBook
Book Rating : 597/5 ( reviews)

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Book Synopsis An Illustrative Guide to Multivariable and Vector Calculus by : Stanley J. Miklavcic

Download or read book An Illustrative Guide to Multivariable and Vector Calculus written by Stanley J. Miklavcic. This book was released on 2020-02-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Calculus with Vectors

2014-10-30 Mathematics
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Release : 2014-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 386/5 ( reviews)

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Book Synopsis Calculus with Vectors by : Jay S. Treiman

Download or read book Calculus with Vectors written by Jay S. Treiman. This book was released on 2014-10-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach

2009 Algebras, Linear
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Release : 2009
Genre : Algebras, Linear
Kind : eBook
Book Rating : 674/5 ( reviews)

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Book Synopsis Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach by : John Hamal Hubbard

Download or read book Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach written by John Hamal Hubbard. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:

Vector Analysis Versus Vector Calculus

2012-03-29 Mathematics
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Release : 2012-03-29
Genre : Mathematics
Kind : eBook
Book Rating : 000/5 ( reviews)

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Book Synopsis Vector Analysis Versus Vector Calculus by : Antonio Galbis

Download or read book Vector Analysis Versus Vector Calculus written by Antonio Galbis. This book was released on 2012-03-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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