Multivariable Dynamic Calculus on Time Scales

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.

“The present book provides a comprehensive treatise on the multivariable calculus on time scales. It is a very natural and nice sequel of the pair of monographs concerning the fundamental theory of the time scale calculus and dynamic equations. … I recommend this book to everybody who is interested in time scale calculus. … the book also very suitable for beginners such as, e.g., undergraduate students.” (Petr Zemánek, zbMATH 1475.26001, 2022)“This book is a nice addition to an already nice group of books … concerning dynamics equations on time scales. Anyone with an interest in dynamics equations on time scales would be greatly interested in this well-written book. The 275 examples and 239 exercises should be very helpful to the reader in understanding the material.” (Allan C. Peterson, Mathematical Reviews, August, 2017)

• 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.