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Multivariable Dynamic Calculus on Time Scales

✍ Scribed by Martin Bohner, Svetlin G. Georgiev


Publisher
Springer International Publishing
Year
2017
Tongue
English
Leaves
605
Edition
1st ed.
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


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

✦ Subjects


Global analysis (Mathematics);Differentiable dynamical systems;Difference equations


πŸ“œ SIMILAR VOLUMES


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