Buono Advanced Calculus

Differential Calculus and Stokes' Theorem
1. Auflage 2016
ISBN: 978-3-11-042911-4
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 313 Seiten

Reihe: De Gruyter Textbook

This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green’s, Stokes’ and Gauss’ theorems. Furthermore, the presentation offers a natural route to differential geometry.

Contents:
Calculus of Vector Functions
Tangent Spaces and 1-forms
Line Integrals
Differential Calculus of Mappings
Applications of Differential Calculus
Double and Triple Integrals
Wedge Products and Exterior Derivatives
Integration of Forms
Stokes’ Theorem and Applications

Zielgruppe

Students (Major or Minor) and Lecturers in Mathematics.

Autoren/Hrsg.

Buono, Pietro-Luciano

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Über Autor(innen)

Pietro-Luciano Buono, University of Ontario Institute of Technology, Canada.