Functions of Two Variables: 2nd Edition (Paperback) book cover

Functions of Two Variables

2nd Edition

By Sean Dineen

Chapman and Hall/CRC

208 pages | 95 B/W Illus.

Purchasing Options:$ = USD
Paperback: 9781584881902
pub: 2000-06-22
Hardback: 9781138417762
pub: 2017-07-27
eBook (VitalSource) : 9781315273730
pub: 2017-12-19
from $45.98

FREE Standard Shipping!


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 Variables.

The second edition goes even further toward a treatment that is at once gentle but rigorous, atypical yet logical, and ultimately an ideal introduction to a subject important to careers both within and outside of mathematics. The author's style remains informal and his approach problem-oriented. He takes care to motivate concepts prior to their introduction and to justify them afterwards, to explain the use and abuse of notation and the scope of the techniques developed.

Functions of Two Variables, Second Edition includes a new section on tangent lines, more emphasis on the chain rule, a rearrangement of several chapters, refined examples, and more exercises. It maintains a balance between intuition, explanation, methodology, and justification, enhanced by diagrams, heuristic comments, examples, exercises, and proofs.


"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

Table of Contents

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


Quadratic Approximation

Vector Valued Differentiation

Complex Analysis

Line Integrals

The Fundamental Theorem of Calculus

Double Integrals

Coordinate Systems

Green's Theorem



Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations