Multivariate Calculus
Autor Samiran Karmakar, Sibdas Karmakaren Limba Engleză Hardback – 23 iun 2023
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.
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Specificații
ISBN-13: 9781032526898
ISBN-10: 1032526890
Pagini: 330
Dimensiuni: 152 x 229 x 24 mm
Greutate: 0.77 kg
Ediția:1
Editura: Levant
Colecția CRC Press
ISBN-10: 1032526890
Pagini: 330
Dimensiuni: 152 x 229 x 24 mm
Greutate: 0.77 kg
Ediția:1
Editura: Levant
Colecția CRC Press
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Public țintă
Postgraduate and Undergraduate CoreCuprins
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
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
Notă biografică
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.
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.
Descriere
This book is a compilation of all basic topics on functions of Several Variables and is primarily meant for undergraduate and post graduate students.