Multivariable Dynamic Calculus on Time Scales

1. Auflage 2016
ISBN: 978-3-319-47619-3
Verlag: Springer International Publishing

Buch, Englisch, 603 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 10461 g

This book offers the reader an overview of recent developments of multivariable dynamic calculus on time scales, taking readers beyond the traditional calculus texts. Covering topics from parameter-dependent integrals to partial differentiation on time scales, the book’s nine pedagogically oriented chapters provide a pathway to this active area of research that will appeal to students and researchers in mathematics and the physical sciences. The authors present a clear and well-organized treatment of the concept behind the mathematics and solution techniques, including many practical examples and exercises.

Zielgruppe

Research

Autoren/Hrsg.

Georgiev, Svetlin G.

Bohner, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

1. Time Scales.- 2. Differential Calculus of Functions of One Variable.- 3. Integral Calculus of Functions of One Variable.- 4. Partial Differentiation on Time Scales.- 5. Multiple Integration on Time Scales.- 6. Sequences and Series of Functions.- 7. Parameter-Dependent Integrals.- 8. Line Integrals.- 9. Surface Integrals.- Index.

Über Autor(innen)

Martin Bohner - University of Missouri-Rolla, Department of Mathematics and Statistics, Rolla, Missouri.

Svetlin G. Georgiev - Sofia University, Faculty of Mathematics and Informatics, Department of Differential Equations, Bulgaria.