Functions of Two Variables

List 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. Curvature. Quadratic Approximation. Vector Valued Differentiation. Complex Analysis. Line Integrals. The Fundamental Theorem of Calculus. Double Integrals. Coordinate Systems. Green's Theorem. Solutions. Index.

About the author

Sean Dineen

Summary

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.

Product details

• Authors: Sean Dineen
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 31.12.2017
• EAN: 9781138417762
• ISBN: 978-1-138-41776-2
• No. of pages: 208
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations