
Multivariable Calculus: Applications and Theory
by Kenneth Kuttler
Publisher: Brigham Young University 2011
Number of pages: 466
Description:
This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. This is not the usual approach in beginning courses but it is the correct approach, leaving open the possibility that at least some students will learn and understand the topics presented.
Download or read it online for free here:
Download link
(8.2MB, PDF)
Similar books
Calculus Volume 3- OpenStax
The textbook guides students through the core concepts of calculus. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
(12775 views)
Multivariable Calculusby Wong Yan Loi - National University of Singapore
Contents: Vector Functions; Functions of several variables; Limits and Continuity; Partial Derivatives; Maximum and Minimum Values; Lagrange Multipliers; Multiple Integrals; Surface Area; Triple Integrals; Vector Fields; Line Integrals; etc.
(12923 views)
Multivariable Calculusby Jerry Shurman - 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.
(16575 views)
Advanced Calculusby Lynn H. Loomis, Shlomo Sternberg - 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.
(22848 views)