Multivariable dynamic calculus on time scales [electronic resource] /
Bohner, Martin.author.
Georgiev, Svetlin G.author.
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.
Includes bibliographical references and index.
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.
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.
Mathematical analysis.
Analysis (Mathematics).
Analysis.