2nd Edition

Functions of Two Variables

By Sean Dineen Copyright 2000
208 Pages 95 B/W Illustrations
by Chapman & Hall

208 Pages
by Chapman & Hall

208 Pages 95 B/W Illustrations
by Chapman & Hall

Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two... Read more
Functions from R2 to R
Partial Derivatives
Critical Points
Maxima and Minima
Saddle Points
Sufficiently Regular Functions
Linear Approximation
Tangent Lines
Method and Examples of Lagrange Multipliers
Theory and Examples of Lagrange Multipliers
Tangent Planes
The Chain Rule
Directed Curves
Curvature
Quadratic Approximation
Vector Valued Differentiation
Complex Analysis
Line Integrals
The Fundamental Theorem of Calculus
Double Integrals
Coordinate Systems
Green's Theorem
Solutions
Index

Biography

Sean Dineen

"The whole text is nicely written, and can be strongly recommended as an excellent and comprehensive source, suitable for self-study or classroom use at the undergraduate level. For students demanding motivation, its study will be a rewarding experience."
-European Mathematical Society Newsletter, December 2002