Functions of Two Variables, 2nd Edition Sean Dineen 1351990225 9781351990226

This completed downloadable of Functions of Two Variables, 2nd Edition Sean Dineen

Instant downloaded Functions of Two Variables, 2nd Edition Sean Dineen pdf docx epub after payment.

Product details:

• ISBN 10: 1351990225
• ISBN 13: 9781351990226
• Author: Sean Dineen

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.

Table of contents:

1 Functions from R2 to R

2 Partial Derivatives

3 Critical Points

4 Maxima and Minima

5 Saddle Points

6 Sufficiently Regular Functions

7 Linear Approximation

8 Tangent Lines

9 Method and Examples of Lagrange Multipliers

10 Theory and Examples of Lagrange Multipliers

11 Tangent Planes

12 The Chain Rule

13 Directed Curves

14 Curvature

15 Quadratic Approximation

16 Vector Valued Differentiation

17 Complex Analysis

18 Line Integrals

People also search:

extrema of functions of two variables

limits of functions of two variables

16 boolean functions of two variables

differentiability of functions of two variables pdf

extreme value theorem for functions of two variables