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. Front Matter....Pages i-xiii Time Scales....Pages 1-22 Differential Calculus of Functions of One Variable....Pages 23-95 Integral Calculus of Functions of One Variable....Pages 97-237 Sequences and Series of Functions....Pages 239-260 Parameter-Dependent Integrals....Pages 261-302 Partial Differentiation on Time Scales....Pages 303-447 Multiple Integration on Time Scales....Pages 449-515 Line Integrals....Pages 517-561 Surface Integrals....Pages 563-597 Back Matter....Pages 599-603