Multivariate Calculus

by Samiran Karmakar, Sibdas Karmakar

Overview

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.

Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan)

Product Details

ISBN-13:	9781032526898
Publisher:	CRC Press
Publication date:	06/23/2023
Pages:	330
Product dimensions:	6.00(w) x 9.00(h) x 0.75(d)

About the Author

Samiran Karmakar is Assistant Professor in Mathematics, Bankura Sammilani College, Bankura, West Bengal and is actively engaged in research in the field of Optimization Theory and Operational Research. Formerly, he was Assistant Professor in Mathematics, St. Xavier’s College, Kolkata.

Sibdas Karmakar was former Associate Professor in Mathematics, Ramananda College, Bankura, West Bengal and has been associated with the teaching of honors in Mathematics for decades. He has also taught in Achhruram Memorial College, Purulia.

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