Buy 9781032526898 |

ABOUT THE BOOK

This book is a compilation of all basic topics on functions of Several Variables and is primarily meant for undergraduate and post graduate students.

Topics covered are:

• Limits, continuities and differentiabilities of functions of several variables.
• Properties of Implicit functions and Jacobians.
• Extreme values of multivariate functions.
• Various types of integrals in planes and surfaces and their related theorems including Dirichlet and Liouville’s extension to Dirichlet.

TABLE OF CONTENTS

Preface

Preliminaries

1. Functions of Several Variables: Limits & Continuity

2. Functions of Several Variables: Differentiation – I

3. Functions of Several Variables: Differentiation – II

4. Jacobians, Functional Dependence and Implicit Functions

5. Extrema of Functions of Several Variables

6. Multiple Integrals

7. Line, Surface and Volume Integrals

8. Dirichlet’s Theorem and Liouville’s Extension

Bibliography

Index