Functions of Two Variables

ISBN-13: 9781584881902 / Angielski / Miękka / 2000 / 208 str.

S. Dineen; Sean Dineen

Opis

Offers an introduction to functions of two variables important to careers both within and outside of mathematics. This book includes a section on tangent lines, emphasis on the chain rule, a rearrangement of several chapters, refined examples, and exercises. It maintains a balance between intuition, explanation, methodology, and justification.

Recenzje

"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

Spis treści

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

O autorze

Sean Dineen