Multivariable Calculus

e-books in this category

Multivariable Calculus: Applications and Theory
by Kenneth Kuttler - Brigham Young University , 2011
This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. This is the correct approach, leaving open the possibility that at least some students will understand the topics presented.
(452 views)

Multivariable Calculus
by Jerry Shurman - Reed College , 2010
A text for a two-semester multivariable calculus course. The setting is n-dimensional Euclidean space, with the material on differentiation culminating in the Inverse Function Theorem, and the material on integration culminating in Stokes's Theorem.
(3784 views)

Multivariable and Vector Analysis
by W W L Chen - Macquarie University , 2008
Introduction to multivariable and vector analysis: functions of several variables, differentiation, implicit and inverse function theorems, higher order derivatives, double and triple integrals, vector fields, integrals over paths, etc.
(8742 views)

Multivariable Calculus
by George Cain, James Herod , 1997
The text covers Euclidean three space, vectors, vector functions, derivatives, more dimensions, linear functions and matrices, continuity, the Taylor polynomial, sequences and series, Taylor series, integration, Gauss and Green, Stokes.
(6469 views)

Calculus III
by Paul Dawkins - Lamar University , 2011
These lecture notes should be accessible to anyone wanting to learn Calculus III or needing a refresher in some of the topics from the class. The notes assume a working knowledge of limits, derivatives, integration, parametric equations, vectors.
(13805 views)

Many Variable Advanced Calculus
by Kenneth Kuttler , 2008
The book is appropriate to anybody who understands the concepts of one variable calculus. The author develops further multivariable advanced calculus. He firsts presents a course in linear algebra, then the other calculus topics.
(5845 views)

Vector Calculus
by Michael Corral - Schoolcraft College , 2008
A textbok on elementary multivariable calculus, the covered topics: vector algebra, lines, planes, surfaces, vector-valued functions, functions of 2 or 3 variables, partial derivatives, optimization, multiple, line and surface integrals.
(14569 views)

The Calculus of Functions of Several Variables
by Dan Sloughter - Furman University , 2001
Many functions in the application of mathematics involve many variables simultaneously. This book introducses Rn, angles and the dot product, cross product, lines, planes, hyperplanes, linear and affine functions, operations with matrices, and more.
(7438 views)

Advanced Calculus
by Lynn H. Loomis, Shlomo Sternberg - Jones and Bartlett Publishers , 1989
Starts with linear algebra, then proceeds to introductory multivariate calculus, including existence theorems connected to completeness, integration, the Stokes theorem, a chapter on differential manifolds, exterior differential forms, etc.
(14203 views)