Multivariable Calculus - Couverture rigide

Dimov, Ivan; Petkov, Aleksandar

 
9781787153776: Multivariable Calculus
Couverture rigide
ISBN 10 : 1787153770 ISBN 13 : 9781787153776
Editeur : Kruger Brentt Publisher Uk. Ltd., 2025

Synopsis

Foundations of Multivariable Functions: Provide a comprehensive introduction to functions of multiple variables, including definitions, graphical interpretations, and basic properties. Cover topics such as partial derivatives, gradient vectors, and the concept of differentiability for functions of several variables.

Multiple Integration Techniques: Explore techniques for evaluating multiple integrals, including double and triple integrals. Discuss applications of multiple integrals in calculating areas, volumes, and other physical quantities. Include methods for changing variables, such as polar, cylindrical, and spherical coordinates.

Vector Calculus and Field Theory: Examine key concepts in vector calculus, including vector fields, line integrals, surface integrals, and flux. Discuss fundamental theorems such as Green's Theorem, Stokes' Theorem, and the Divergence Theorem, and their applications in physics and engineering.

Optimization and Constrained Optimization: Discuss methods for optimization in multivariable settings, including finding local and global extrema of functions. Cover techniques such as Lagrange multipliers for constrained optimization problems and the use of Hessian matrices for analyzing critical points.

Applications and Advanced Topics: Address various applications of multivariable calculus in fields such as physics, engineering, economics, and computer science. Include advanced topics such as differential forms, manifold theory, and the applications of multivariable calculus in differential equations and dynamical systems.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Kruger Brentt Publisher Uk. Ltd.
Date d'édition
2025
Langue
anglais
ISBN 10 
1787153770
ISBN 13 
9781787153776
Reliure
Relié
Nombre de pages
374
Coordonnées du fabricant
non disponible
Personne responsable
non disponible