Multivariable Calculus - Hardcover

Dimov, Ivan; Petkov, Aleksandar

Hardcover

ISBN 10: 1787153770 ISBN 13: 9781787153776

Verlag: Kruger Brentt Publisher UK. LTD., 2025

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Kruger Brentt Publisher UK. LTD.
• Erscheinungsdatum: 2025
• Sprache: Englisch
• ISBN 10: 1787153770
• ISBN 13: 9781787153776
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 374
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland