Logo

Multivariable Calculus by Jerry Shurman

Small book cover: Multivariable Calculus

Multivariable Calculus
by

Publisher: Reed College
Number of pages: 523

Description:
This is the 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 its consequences, and the material on integration culminating in the Generalized Fundamental Theorem of Integral Calculus (often called Stokes's Theorem) and some of its consequences in turn. The prerequisite is a proof-based course in one-variable calculus.

Download or read it online for free here:
Download link
(6.5MB, PDF)

Similar books

Book cover: Multivariable CalculusMultivariable Calculus
by - 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.
(7579 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.
(6353 views)
Book cover: Calculus Volume 3Calculus 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.
(4738 views)
Book cover: The Calculus of Functions of Several VariablesThe Calculus of Functions of Several Variables
by - Furman University
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.
(15779 views)