Logo

Multivariable Advanced Calculus

Multivariable Advanced Calculus
by


Number of pages: 450

Description:
This book is directed to people who have a good understanding of the concepts of one variable calculus including the notions of limit of a sequence and completeness of R. It develops multivariable advanced calculus. In order to do multivariable calculus correctly, you must first understand some linear algebra. Therefore, a condensed course in linear algebra is presented first, emphasizing those topics in linear algebra which are useful in analysis, not those topics which are primarily dependent on row operations. Many topics could be presented in greater generality than I have chosen to do. I have also attempted to feature calculus, not topology. This means I introduce the topology as it is needed rather than using the possibly more efficient practice of placing it right at the beginning in more generality than will be needed. I think it might make the topological concepts more memorable by linking them in this way to other concepts.

Download or read it online for free here:
Download link
(3.1MB, PDF)

Similar books

Book cover: Multivariable CalculusMultivariable Calculus
by - Reed College
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.
(6429 views)
Book cover: Vector CalculusVector Calculus
by - Schoolcraft College
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.
(24585 views)
Book cover: Multivariable Calculus: Applications and TheoryMultivariable Calculus: Applications and Theory
by - Brigham Young University
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.
(3270 views)
Book cover: Advanced CalculusAdvanced Calculus
by - Jones and Bartlett Publishers
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.
(11771 views)