Multivariable Dynamic Calculus on Time Scales

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.

Covers recent developments of an upcoming and niche topic for new researchers Supplements current undergraduate and graduate texts on calculus Offers a thorough set of examples and exercises for better comprehension Includes supplementary material: sn.pub/extras

Autorentext

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.

Inhalt

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.